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ESTIMATION OF RELIABILITY PARAMETERS FOR POWER TRANSFORMERS

Authors:

Nabila Al Balushi, Waleed Al Khairi, S. M. Rizwan, S Z Taj

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00010

Abstract:

Power transformers play an important role in the efficient delivery of power to consumers. Their failure leads to significantly higher losses and maintenance costs. Therefore, it is essential to have an optimal maintenance strategy in place for the transformers. However, to design an effective maintenance strategy, real failure data of the transformers need to be collected and studied to identify the failure patterns. To facilitate the analysis presented in this paper, five years of real failure data of a transformer system is collected from a power distribution company. The best-fit distribution for the failure times data of the system is found using AIC, BIC, and LKV values. Useful reliability parameters of the system are evaluated using the Maximum Likelihood Estimation and Rank Regression Method. Life data analysis is performed to estimate the reliable life, mean time to failure, and remaining lifetime of the entire system and its subsystems.

Keywords:

Best-fit distribution,Maximum likelihood estimation,Rank regression,reliability,Transformer,

Refference:

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III. Cheng, J., Cho, S., Tan, Y.P., and Hu, G. (September 11-14, 2023). Deep learning-enabled statistical model estimation for power transformers with censoring and truncation problems. Asia Pacific Conference of the PHM society, Tokyo, Japan. 10.36001/phmap.2023.v4i1.3762
IV. El-Bassiouny, A., El-Shimy, M., and Hamouda, R. (2019). Probabilistic analysis of the reliability performance for power transformers in Egypt. Journal of Renewable Energy and Sustainable Development, 5(2), 46-56.
V. Jagtap, H.P., Bewoor, A.K., Kumar, R., Ahmadi, M.H., El Haj Assad, M., and Sharifpur, M. (2021). RAM analysis and availability optimization of thermal power plant water circulation system using PSO. Energy Reports, 7, 1133–1153. 10.1016/j.egyr.2020.12.025
VI. Kumar, A., Garg, R., and Barak, M.S. (2022). Performance analysis of computer systems with Weibull distribution subject to software upgrade and load recovery. Life Cycle Reliability and Safety Engineering, 12, 51–63. 10.1007/s41872-022-00211-5
VII. Maihulla, A.S., Yusuf, I., and Bala S.I. (2023). Weibull comparison based on reliability, availability, maintainability, and dependability (RAMD) analysis. Reliability: Theory & Applications, 1(72), 120-132.
VIII. Mirzai, M., Gholami, A., and Aminifar, F. (2006). Failures analysis and reliability calculation for power transformers, Journal of Electrical Systems, 2(1), 1–12.
IX. Myung, I.J. (2003). Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology, 47(1), 90–100. 10.1016/S0022-2496(02)00028-7
X. Nabila Al Balushi. (2021). A review of the reliability analysis of the complex industrial systems, Advances in Dynamical Systems and Applications, 16(1), 257-297.
XI. Nabila Al Balushi, Rizwan, S.M., Taj, S.Z., and Waleed Al Khairi. (2023). Reliability analysis of power transformers of a power distribution company. International Journal of System Assurance Engineering and Management. 10.1007/s13198-023-02042-8
XII. Oliveira Neto, A.B., Costa, E.G., Moraes, V.S., and Ferreira, T.V. (August 27-September 01, 2017). Methodology for reliability analysis of power transformers based on failure data. The 20th International Symposium on High Voltage Engineering, Buenos Aires, Argentina.
XIII. Padmavathi, N., Rizwan, S.M., Pal, A., and Taneja, G. (2012). Reliability analysis of an evaporator of a desalination plant with online repair and emergency shutdowns. Aryabhatta Journal of Mathematics & Informatics, 4(1), 1-12.
XIV. Schwarz, G.E. (1978). Estimating the dimension of a model. Annals of Statistics, 6 (2), 461–464. 10.1214/aos/1176344136
XV. Seyedi, H., Fotuhi, M., and Sanaye-Pasand, M. (2006). An extended Markov model to determine the reliability of protective system, 2006 IEEE Power India Conference. 10.1109/POWERI.2006.1632549
XVI. Singla, S., Mangla, D., Panwar, P., and Taj, S.Z. (2024). Reliability optimization of a degraded system under preventive maintenance using genetic algorithm. Journal of Mechanics of Continua and Mathematical Sciences, 19(1), 1-14.
XVII. Taj, S.Z., and Rizwan, S.M. (2021). Estimation of reliability indices of a complex industrial system using best–fit distribution for repair/restoration times. International Journal of Advanced Research in Engineering and Technology, 12(2), 132-146.
XVIII. Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., and Taneja, G. (2020). Three reliability models of a building cable manufacturing plant: a comparative analysis. International Journal of Systems Assurance Engineering and Management. 10.1007/s13198-020-01012-8
XIX. Tang, S., Hale, C., and Thaker, H. (2014). Reliability modelling of power transformers with maintenance outage. Systems Science & Control Engineering, 2(1), 316–324. 10.1080/21642583.2014.901930
XX. Vahidi, F., and Tenbohlen, S. (November 2014). Statistical failure analysis of European substation transformers. Conference: 6. ETG-Fachtagung Diagnostik elektrischer Betriebsmittel.
XXI. Wei, X., Wang, Z., and Guo, J. (2022). Reliability assessment of transformer insulating oil using accelerated life testing. Scientific Reports, 12. 10.1038/s41598-022-26247-2
XXII. Yaqoob Al Rahbi, Rizwan, S.M., Alkali, B.M., Cowell, A. and Taneja, G. (2019). Reliability analysis of a rodding anode plant in aluminium industry with multiple units’ failure and single repairman. International Journal of System Assurance Engineering and Management, 10, 97-109. 10.1007/s13198-019-00771-3

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SOLVING 2D MATHEMATICAL MODELS ARISING IN APPLIED SCIENCES WITH CAPUTO DERIVATIVES VIA HYBRID HPM

Authors:

Inderdeep Singh, Umesh Kumari

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00011

Abstract:

This paper presents a novel approach for solving 2D mathematical models arising in applied sciences, specifically focusing on 2-dimensional time-fractional order Klein-Gordon (TFKGE) and sine-Gordon equations (TFSGE) using the Sumudu transform-homotopy perturbation method (STHPM). The amalgamation of the Sumudu transform with the homotopy perturbation method provides an effective analytical technique for tackling these time-fractional order partial differential equations. The solutions obtained illustrate the precision and efficiency of the method, offering valuable insights for modelling complex physical systems. In this study, we also solve the same numerical problems using the variational iteration method and perform a comparative analysis of the results. This study advances the application of fractional calculus methods to challenging problems in theoretical and applied physics.

Keywords:

Homotopy Perturbation Method,Klein-Gordon Equation,Sine-Gordon Equation,Sumudu Transform,Test Examples,Variational Iteration Method,

Refference:

I. Atangana Abdon and Adem Kılıçman. “The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations.” Abstract and Applied Analysis 2013 (2013): 1-12. 10.1155/2013%2F737481.
II. Belayeh W. G., Mussa Y. O., Gizaw A.K., “Approximate analytic solutions of two-dimensional nonlinear Klein-Gordon equation by using the reduced differential transform method.” Mathematical Problems in Engineering, 2020(1), 2020. 10.1155/2020/5753974.
III. Belgacem Fethi Bin Muhammed, Karaballi, Ahmed Abdullatif “Sumudu transform fundamental properties investigations and applications.” Journal of Applied Mathematics and Stochastic Analysis, 2006(6), (2006) pp. 1-23. 10.1155/JAMSA/2006/91083.
IV. Chang, Chih-Wen, Kuo Chia-Chen “A lie-group approach for solving backward two-dimensional nonlinear Klein-Gordon equation.” Procedia Engineering, 79, (2014), pp. 590-598. 10.1016/j.proeng.2014.06.384.
V. Deresse, Alemayehu Tamirie. “Application of iterative three-dimensional Laplace transform method for 2-dimensional non linear Klein Gordon equation.” Trends in sciences, (2023), 20(3). 10.48048/tis.2023.4410.
VI. Deresse Alemayehu Tamirie, Mussa Yesuf Obsie and Gizaw Ademe Kebede. “Analytical solution of two-dimensional sine-Gordon equation”, Advances in Mathematical Physics, 2021 (2021), issue 1, 2021. 10.1155/2021/6610021.
VII. El-Sayed M.A., Elsaid A., I.L. El-Kalla, D. Hammad, “A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains.” Applied Mathematics and Computation, 218(17), (2012), pp. 8329–8340. 10.1016/j.amc.2012.01.057.
VIII. Gill V., Dubey R.S., “New analytical method for Klein-Gordon equations arising in quantum field theory.” European Journal of Advances in Engineering and Technology, 5( 8), (2018), pp. 649-655.
IX. Gupta P.K., Singh M., “Homotopy perturbation method for fractional Fornberg-Whitham equation.” Computer and Mathematics with Applications, 61(2), , 2011, pp. 250-254. 10.1016/j.camwa.2010.10.045.
X. He, Ji-Huan, “Homotopy perturbation technique”, Computer Methods in Applied Mechanics and Engineering, 178(3-4), (1999), pp. 257–262. 10.1016/S0045-7825(99)00018-3.
XI. He Ji-Huan, “Some applications of nonlinear fractional differential equations and their approximations.” Bulletin of Science, Technology & Society, 15(2), , 1999, pp. 86–90.
XII. He Ji-Huan,“A coupling method of a homotopy technique and a perturbation technique for non-linear problems.” International Journal of Non-Linear Mechanics, 35(1), (2000), pp. 37–43. 10.1016/S0020-7462(98)00085-7.
XIII. He Ji-Huan, “Application of homotopy perturbation method to nonlinear wave equations.” Chaos, Solitons and Fractals, 26(3), , 2005, pp. 695–700. 10.1016/j.chaos.2005.03.006.
XIV. Hosseininia M., Heydari M.H., Ghaini F.M.M., Avazzadeh Z., “A wavelet method to solve nonlinear variable order time fractional 2D Klein-Gordon equation.” Computers & Mathematics with Applications, 78(15), (2019), pp. 3713-3730. 10.1016/j.camwa.2019.06.008.
XV. Ibrahim W., Tamiru M., “Solutions of three dimensional non-linear Klein-Gordon equations by using quadruple Laplace transform.” International Journal of Differential Equations, 2022(1), 2022. 10.1155/2022/2544576.
XVI. Kang X., Feng W., Cheng K., Guo, C., “An efficient finite difference scheme for the 2D sine-Gordon equation.” Arxiv, 10(6), (2017), pp. 2998-3012.
XVII. Karbalaie Abdolamir, Montazeri Mohammad Mehdi, and Muhammed Hamed Hamid “Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform.” WSEAS Transactions on Mathematics archive 13 (2014): 142-151.
XVIII. Khader M., “Application of homotopy perturbation method for solving nonlinear fractional heat-like equations using sumudu transform.” Scientia Iranica, 24(2), , (2017), pp. 648-655.
XIX. Li Demei, Lai Huilin, Shi Baochang “Mesoscopic simulation of the (2+1)-dimensional wave equation with non-linear damping and source terms using the lattice Boltzmann BGK model.” MDPI, 21(4), 2019.
XX. Li, X, “Mesh less numerical analysis of a class of nonlinear generalized Klein-Gordon equation with a well shaped moving least square approximation”, Applied Mathematical Modelling, 48, , (2017), pp. 153-182. 10.1016/j.apm.2017.03.063.
XXI. Liu W., Sun J., Wu B. , “Space–time spectral method for the two-dimensional generalized sine-Gordon equation.” Journal of Mathematical Analysis and Applications, 427(2), (2015), pp. 787-804, 10.1016/j.jmaa.2015.02.057.
XXII. Maitama S., Zhao W., “Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences.” Journal of Applied Mathematics and Computational Mechanics, 20(1), (2021), pp. 71-82. 10.17512/jamcm.2021.1.07.
XXIII. Singh Brajesh Kumar, Kumar Parmod, “Fractional variational iteration method for solving fractional partial differential equations with proportional Delay.” International Journal of Differential Equations, 2017(1), (2017), 10.1155/2017/5206380.
XXIV. Singh Inderdeep, Kumari Umesh “Elzaki Transform Homotopy Perturbation Method for Solving Two-dimensional Time-fractional Rosenau-Hyman Equation.” Matematika, Malaysian Journal of Industrial and Applied Mathematics, 39(2), (2023), pp. 159–171. https://matematika.utm.my/index.php/matematika/article/view/1463.
XXV. Singh P., Sharma D., “On the problem of convergence of series solution of non-linear fractional partial differential equation.” In: AIP Conference Proceeding, 1860: 020027, 2017. 10.1063/1.4990326.
XXVI. Watugala G.K, “Sumudu transform- a new integral transform to solve differential equations and control engineering problems.” International Journal of Mathematical Education in Science and Technology, 24(1), (1993), pp. 35-43. 10.1080/0020739930240105.
XXVII. Yıldırım Ahmet, “Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method.” International Journal of Numerical Methods for Heat & Fluid Flow, 20(2), (2010), pp. 186-200. 10.1108/09615531011016957.
XXVIII. Yousif Eltayeb A., Hamed Sara H. “Solution of nonlinear fractional differential equations using the homotopy perturbation sumudu transform method”, Applied Mathematical Sciences, 8(44), 2014, pp. 2195-2210.

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DEVELOPMENT AND EVALUATION OF A VERSATILE CONTROL SYSTEM IN AN ADAPTABLE MULTI-LEGGED ROBOT USING A MODIFIED PEAUCELLIER-LIPKIN MECHANISM

Authors:

Papatla Rajesh, Rega Rajendra, Ponugoti Gangadhara Rao

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00012

Abstract:

The present work in bio-inspired robotics explores the design and implementation of a novel-legged robotic system featuring a modified Peaucellier-Lipkin mechanism with three control points for a single degree of freedom. The emphasis is placed on the robot’s adaptability to various walking gaits in different environments. The paper delves into the robot’s design, construction, and control system, which includes the application of PID control for enhanced stability and efficiency in mimicking biological locomotion. The primary aim is to demonstrate a robot capable of adjusting its form and function for diverse operational challenges, enhancing robotic mobility. The design also addresses repeatability issues, ensuring consistent performance across various tasks and conditions, contributing to the robot’s reliability and practical applicability in real-world scenarios.

Keywords:

Biological locomotion,Peaucellier-Lipkin mechanism,PID controller repeatability,Robotic mobility,

Refference:

I. Alexeev, L., Dobra, A., & Lovasz, E.: “Walking Robot with Modified Jansen Linkage.” In Machine and Industrial Design in Mechanical Engineering, Mechanisms and Machine Science 109, Springer Nature Switzerland, 2022, Ch. 58, p. 577. 10.1007/978-3-030-88465-9_58

II. Bhavsar, Keval, Dharmik Gohel, Pranav Darji, Jitendra Modi, and Umang Parmar.: ‘Kinematic Analysis of Theo Jansen Mechanism-Based Eight-Leg Robot’. In Advances in Fluid Mechanics and Solid Mechanics: Proceedings of the 63rd Congress of ISTAM 2018, pp. 75-82. Singapore: Springer Singapore, 2020. 10.1007/978-981-32-9971-9_30

III. Chen, X., Wang, L. Q., Ye, X. F., Wang, G., & Wang, H. L.: “Prototype Development and Gait Planning of Biologically Inspired Multi-Legged Crablike Robot.” Mechatronics, 2013, 23(4), pp. 429-444. 10.1016/j.mechatronics.2013.03.006

IV. Chwila, S., Zawiski, R., and Babiarz, A.: ‘Developing and Implementation of the Walking Robot Control System’. In Man-Machine Interactions 3, Springer International Publishing, pp. 97-105, 2014. 10.1007/978-3-319-02309-0_10

V. Desai, Shivamanappa G., Anandkumar R. Annigeri, and A. TimmanaGouda.: ‘Analysis of a New Single Degree-of-Freedom Eight Link Leg Mechanism for Walking Machine’. Mechanism and Machine Theory, Vol. 140, pp. 747-764, 2019. 10.1016/j.mechmachtheory.2019.06.002

VI. Gao, H., Kareem, A., Jawarneh, M., Ofori, I., Raffik, R., and Kishore, K.H.: ‘[Retracted] Metaheuristics Based Modeling and Simulation Analysis of New Integrated Mechanized Operation Solution and Position Servo System’. Mathematical Problems in Engineering, 2022(1), p. 1466775. 10.1155/2022/1466775

VII. Ghassaei, Amanda, Professors Phil Choi, and Dwight Whitaker.: “The Design and Optimization of a Crank-Based Leg Mechanism.” Pomona, USA (2011).

VIII. Giesbrecht, Daniel. Design and Optimization of a One-Degree-of-Freedom Eight-Bar Leg Mechanism for a Walking Machine. MS thesis, 2010. http://hdl.handle.net/1993/3922

IX. Haidar, A. M., C. Benachaiba & M. Zahir.: “Software Interfacing of Servo Motor with Microcontroller.” Journal of Electrical Systems, vol. 9, (1) pp. 84-99, 2013. https://ro.uow.edu.au/eispapers/468/

X. Janson, T. The Great Pretender. Uitgeverij, 2007.

XI. Jaichandar, K., Mohan Rajesh, E., Martínez-García, E., and Le Tan-Phuc.: ‘Trajectory Generation and Stability Analysis for Reconfigurable Klann Mechanism Based Walking Robot’. Robotics, Vol. 5, No. 3, pp. 1-12, 2016. https://doi.org/10.3390/robotics5030013

XII. Jaichandar, K., Rajesh Elara M., Martínez-García E., & Tan-Phuc L.: “Synthesizing Reconfigurable Foot Traces Using a Klann Mechanism.” Robotica, 35(1), 2015. Cambridge University Press. https://doi.org/10.1017/S0263574715000089

XIII. Kajita, Shuuji, and Bernard Espiau.: ‘Legged Robot’. Springer Handbook of Robotics. Berlin/Heidelberg, Germany: Springer, pp. 361-389, 2008.

XIV. Khaled, Nassim.: “Acceleration Based Approach for Position Control.” IOP Conference Series: Materials Science and Engineering, Vol. 717, No. 1, IOP Publishing, 2020. 10.1088/1757-899X/717/1/012020

XV. Kim, D.H.: ‘Design and Tuning Approach of 3-DOF Emotion Intelligent PID (3-DOF-PID) Controller’. In 2012 Sixth UKSim/AMSS European Symposium on Computer Modeling and Simulation, IEEE, pp. 74-77, November 2012. https://doi.org/10.1109/EMS.2012.93

XVI. Klann, J.C.: Patent No. 6.260.862, USA, 2001. https://patents.google.com/patent/US6260862B1/en

XVII. Krishnamurthy, Balachandar, Sabari Senbagarajan, and Lokesh Mahendran.: ‘Design and Fabrication of Spider Bot’. AIP Conference Proceedings, Vol. 2946, No. 1, AIP Publishing, pp. 1-5, 2023. https://doi.org/10.1063/5.0178024

XVIII. McCarthy, J. M., and Kevin Chen.: Design of Mechanical Walking Robots. MDA, Press, 2021. https://www.google.co.in/books/edition/Design_of_Mechanical_Walking_Robots/-gfozgEACAAJ?hl=te

XIX. Papoutsidakis, M., Chatzopoulos, A., Symeonaki, E., and Tseles, D.: ‘Methodology of PID Control – A Case Study for Servomotors’. International Journal of Computer Applications, Vol. 179, No. 30, pp. 30-33, 2018. 10.5120/ijca2018916689

XX. Sheba, J.K., Martínez-García, E., Elara, M.R., and Tan-Phuc, L.: ‘Design and Evaluation of Reconfigurable Klann Mechanism Based Four-Legged Walking Robot’. In 2015 10th International Conference on Information, Communications and Signal Processing (ICICS), IEEE, pp. 1-5, December 2015. 10.1109/ICICS.2015.7459939

XXI. Sun, Jiefeng, and Jianguo Zhao.: ‘An Adaptive Walking Robot with Reconfigurable Mechanisms Using Shape Morphing Joints’. IEEE Robotics and Automation Letters, Vol. 4, No. 2, pp. 724-731, 2019. 10.3390/robotics5030013

XXII. Sutyasadi, P., and Parnichkun, M.: ‘Gait Tracking Control of Quadruped Robot Using Differential Evolution Based Structure Specified Mixed Sensitivity H∞ Robust Control’. Journal of Control Science and Engineering, 2016(1), p. 8760215, 2016. 10.1155/2016/8760215

XXIII. Vanitha, U., Premalatha, M., Nithinkumar, S., and Vijayaganapathy, S.: ‘Mechanical Spider Using Klann Mechanism’. Scholarly Journal of Engineering and Technology, Vol. 3, No. 9, pp. 737-740, December 2015. chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://saspublishers.com/media/articles/SJET39737-740.pdf

XXIV. Visioli, Antonio. Practical PID Control. Springer Science & Business Media, 2006. https://www.google.co.in/books/edition/Practical_PID_Control/ymyAY01bEe0C?hl=te&gbpv=0

XXV. Zielinska, Teresa.: “Development of Walking Machines; Historical Perspective.” International Symposium on History of Machines and Mechanisms: Proceedings HMM2004. Springer Netherlands, 2004. 10.1016/S0957-4158(01)00017-4

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ESTIMATION OF ONE-AND-FIVE DIMENSIONAL SURVIVAL FUNCTIONS FOR CATEGORICAL DATA USING ENTROPY

Authors:

Hasanain Jalil Neamah Alsaedi

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00013

Abstract:

Life tables are used in many fields in demographic and health research They represent an important indicator of death in society. There are two types of life tables; complete life tables are based on the age at death based on single-age categories and are obtained using a comprehensive survey method. The second type is the abbreviated life tables which are based on the age at death of five-year age groups and are obtained by the sample survey method. In this research, the survival function was estimated for the data obtained from the Central Statistical Organization, social and Economic Survey of the Family in Iraq (IHSES II) using parametric methods (the principle of Maximizing Entropy method (POME), and maximum likelihood method (MLE)), as well as the use of A non-parametric approach, the kernel smoothing method (KS), the compared between the estimation methods using (RMSE) and (MAPE). One of the most important conclusions was the emergence of a preference for the (POME) method for the five-age groups, but in the case of the single-age groups, the (KS) method is the best.

Keywords:

life tables,the principle of maximum entropy method,kernel smoothing method.,

Refference:

I. Calot, Gérard, and Jean-Pierre Sardon. Calculation of Eurostat’s Demographic Indicators. 2004.

II. Central Statistical Organization, Ministry of Planning. Iraqi Household Social and Economic Survey (IHSES II, 2012) Tables Report. Central Statistical Organization Press, 2014. www.cost.gov.iq.

III. Chen, Dong-Guk, and Ying-Chung Lio. “A Note on the Maximum Likelihood Estimation for the Generalized Gamma Distribution Parameters under Progressive Type-Ⅱ Censoring.” International Journal of Intelligent Technologies and Applied Statistics, vol. 2(2), 2009, pp. 145-152.

IV. Cropper, William H. Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking. Oxford UP, 2004. “The Road to Entropy: Rudolf Clausius.”

V. Jaynes, E. T. Probability Theory in Science and Engineering. No. 4, Socony Mobil Oil Company Field Research Laboratory, 1959.

VI. Jowitt, P. W. “The Extreme-Value Type-1 Distribution and the Principle of Maximum Entropy.” Journal of Hydrology, vol. 42, no. 1-2, 1979, pp. 23-38. 10.1016/0022-1694(79)90004-0

VII. Lagos Álvarez, B., Ferreira, G., and Valenzuela Hube, M. “A Proposed Reparameterization of Gamma Distribution for the Analysis of Data of Rainfall-Runoff Driven Pollution.” Proyecciones (Antofagasta), vol. 30, no. 3, 2011, pp. 415-439. https://www.scielo.cl/pdf/proy/v30n3/art09.pdf

VIII. Qamruz, Z., and Karl, P. “Survival Analysis Medical Research.” InterStat, 2011, http://interstat.statjournals.net/YEAR/2011/abstracts/1105005.php.

IX. Qiao, H., and C. P. Tsokos. “Nonparametric Approach to Reliability Analysis.” Proceedings of SOUTHEASTCON’94, April 1994, pp. 231-235. IEEE.

X. Rao, B. L. S. P. Nonparametric Functional Estimation. Academic Press, 1983.

XI. Reshi, J. A., Ahmed, A., and Mir, K. A. “Some Important Statistical Properties, Information Measures, and Estimations of Size Biased Generalized Gamma Distribution.” Journal of Reliability and Statistical Studies, 2014, pp. 161-179.

XII. Roshani, S., Yahya, S. I., Mezaal, Y. S., Chaudhary, M. A., Al-Hilali, A. A., Mojirleilani, A., & Roshani, S. (2023). Design of a compact quad-channel microstrip diplexer for L and S band applications. Micromachines, 14(3), 553.
XIII. Roshani, S., Yahya, S. I., Alameri, B. M., Mezaal, Y. S., Liu, L. W., & Roshani, S. (2022). Filtering power divider design using resonant LC branches for 5G low-band applications. Sustainability, 14(19), 12291.

XIV. Singh, V. P., and Fiorentino, M. “A Historical Perspective of Entropy Applications in Water Resources.” Entropy and Energy Dissipation in Water Resources, 1992, pp. 21-61. https://link.springer.com/chapter/10.1007/978-94-011-2430-0_2
XV. Singh, V. P., and Guo, H. “Parameter Estimation for 3-Parameter Generalized Pareto Distribution by the Principle of Maximum Entropy (POME).” Hydrological Sciences Journal, vol. 40, no. 2, 1995, pp. 165-181. 10.1080/02626669509491402

XVI. Sulaiman, Abbas Najm, and Ebtihal Hussein Farhan. “Estimation of the Survival Function for Complete Real Data of Lung Cancer Patients.” Ibn Lahitham Journal of Pure and Applied Sciences, vol. 27, no. 3, 2014, pp. 531-541. https://jih.uobaghdad.edu.iq/index.php/j/article/view/318

XVII. S. A. AbdulAmeer et al., “Cyber Security Readiness in Iraq: Role of the Human Rights Activists,” International Journal of Cyber Criminology, vol. 16, no. 2, pp. 1–14-1–14, 2022.

XVIII. Tarrad , K. M. et al., “Cybercrime Challenges in Iraqi Academia: Creating Digital Awareness for Preventing Cybercrimes,” International Journal of Cyber Criminology, vol. 16, no. 2, pp. 15–31-15–31, 2022.

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XXI. Y. S. Mezaal, & Ali, J. K. (2016). Investigation of dual-mode microstrip bandpass filter based on SIR technique. PLoS one, 11(10), e0164916.
XXII. Yahya, Salah I., et al. “A New Design method for class-E power amplifiers using artificial intelligence modeling for wireless power transfer applications.” Electronics 11.21 (2022): 3608.

XXIII. Y. S. Mezaal, K. Al-Majdi, A. Al-Hilalli, A. A. Al-Azzawi, and A. A. Almukhtar, “New miniature microstrip antenna for UWB wireless communications,” Proceedings of the Estonian Academy of Sciences, vol. 71, no. 2, pp. 194-202, 2022.
XXIV. Y. S. Mezaal , H. A. Hussein, and B. M. Alameri, “Miniaturized microstrip diplexer based on fr4 substrate for wireless communications,” Elektronika Ir Elektrotechnika, vol. 27, no. 5, pp. 34-40, 2021.

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REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS

Authors:

Rengasamy Muthuraj, Palanisamy Vijayalakshmi, Anandaraman Sasireka

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00014

Abstract:

AG = (N, A, σ, μ) be a anti fuzzy graph. A partition of N(AG) Π = {D1, D2, …., Dk} is a regular anti fuzzy partial domatic partition of AG if (i) for each Di, < Di > is an anti fuzzy regular and (ii) Di is an anti fuzzy dominating set of GA. The maximum fuzzy cardinality of a regular anti fuzzy partial domatic partition of AG is called the regular anti fuzzy partial domatic number [RAPDN]of AG and it is denoted by  Also these numbers are determined for various anti fuzzy graph. In this work, random r- regular anti fuzzy graph, regular partial domatic number in anti fuzzy graphs, regular partial anti domatic number in anti fuzzy graphs are introduced. Some bounds for anti fuzzy domatic numbers are discussed.

Keywords:

Anti fuzzy graph,Dominating set,Domatic number,Vertex degree,

Refference:

I. Akram, Muhammad. “Anti fuzzy structures on graphs.” Middle East Journal of Scientific Research 11.12 (2012): 1641-1648. 10.5829/idosi.mejsr.2012.11.12.131012

II. Allan, Robert B., and Renu Laskar. “On domination and independent domination numbers of a graph.” Discrete mathematics 23.2 (1978): 73-76. 10.1016/0012-365X(78)90105-X
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V. Dharmalingam, K.M., and Valli, K., “Regular Domatic Partition in Fuzzy Graph.” World Journal of Engineering Research and Technology, 5.5 (2019), 100-107.b http://wjert.org/admin/assets/article_issue/34082019/1567157413.pdf
VI. Gani, A. Nagoor, and K. Prasanna Devi. “2-domination in fuzzy graphs.” International Journal of Fuzzy Mathematical Archive 9.1 (2015): 119-124. http://www.researchmathsci.org/IJFMAart/IJFMA-V9n1-14.pdf
VII. Haynes, Teresa W., Stephen Hedetniemi, and Peter Slater. Fundamentals of domination in graphs. CRC press, 2013. 10.1201/9781482246582
VIII. Muthuraj, R., and A. Sasireka. “Domination on anti fuzzy graph.” International Journal of Mathematical Archive 9.5 (2018): 82-92. https://sadakath.ac.in/naac/criterion_iii/research/maths_supportingdocuments.pdf
IX. Muthuraj, R., and A. Sasireka. “Total domination on anti fuzzy graph.” New Trends in Mathematical Sciences 6.4 (2018): 28-39. 10.20852/ntmsci.2018.312
X. Muthuraj, R.,Vijayalakshmi, P., and Sasireka, A., “Domatic Number On Anti Fuzzy Graph. ” AIPCP. [ Accepted]
XI. Muthuraj, R., and A. Sasireka. “On anti fuzzy graph.” Advances in Fuzzy Mathematics 12.5 (2017): 1123-1135. https://www.ripublication.com/afm17/afmv12n5_06.pdf
XII. Somasundaram, A., and S. Somasundaram. “Domination in fuzzy graphs–I.” Pattern recognition letters 19.9 (1998): 787-791. 10.1016/S0167-
8655(98)00064-6
XIII. Zadeh, Lotfi Asker, George J. Klir, and Bo Yuan. Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers. Vol. 6. World scientific, 1996.
https://books.google.co.in/books/about/Fuzzy_Sets_Fuzzy_Logic_and_Fuzzy_Systems.html?id=wu0dMiIHwJkC
XIV. Zelinka, Bohdan. “Antidomatic number of a graph.” Archivum Mathematicum 33.2 (1997): 191-195. https://dml.cz/bitstream/handle/10338.dmlcz/107610/ArchMathRetro_033-1997-2_2.pdf

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IMPLEMENTED RECONFIGURABLE CACHE MEMORY ARCHITECTURE BASED ON 32-BITS MIPS PROCESSOR

Authors:

Aqeel Al-Hilali

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00001

Abstract:

This work presents the design of a reconfigurable cache memory utilizing a 32-bit MIPS processor, implemented through the utilization of VHDL (Very high-speed IC Hardware Description Language). A comprehensive implementation of a 32-bit, single-cycle MIPS processor is presented in VHDL. This processor is capable of supporting 50 instructions, comprising 25-R-type, 16-I-type, and 9-J-type instructions. The processor incorporates a three-dimensional reconfigurable cache memory architecture, enabling the modification of cache memory size, cache organization (in terms of associativity), and cache block size. The reconfigurable cache memory concept proposes the use of multi-cache controller units to execute reconfiguration operations and ensure that all permitted cache memory sets can be utilized with varying levels of associativity. The design is built on an FPGA using the Xilinx ISE design suite, which is based on the hardware description language. To ensure that assess functionality of the proposed reconfigurable cache memory design for various reconfiguration scenarios, numerous assembly language programs have been developed and performed on the MIPS processor. The results validated the efficacy of the suggested reconfigurable cache memory concept and demonstrated its simulation using the Xilinx ISim simulator.

Keywords:

Cache memory,MIPS processor,VHDL language,Reconfiurable cache,FPGA,

Refference:

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III. D. Page, “A Practical Introduction to Computer Architacture”, London, UK: Springer- Verlag, 2009.
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VI. I. Lokegaonkar, D. Nair and V. Kulkarni, “Enhancement of Cache Memory Performance,” 2021 3rd International Conference on Advances in Computing, Communication Control and Networking (ICAC3N), Greater Noida, India, 2021, pp. 1490-1492, doi: 10.1109/ICAC3N53548.2021.9725639.
VII. J. Colmenar, J. Alvareza and J. Martinb, “Multi-objective optimization of energy consumption and execution time in a single level cache memory for embedded systems”. In The Journal of System and Software, Vol. 111, pp. 200-212, 2016.
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X. J. Park, J. Lee and S. Kim, “A Way-Filtering-Based Dynamic Logical-Associative Cache Architecture for Low-Energy Consumption”. IEEE Transactions on Very Large Scale Integration (VLSI) System, Vol. 25, Issue 3, pp. 793-805, 2017.
XI. J. Pereira, “Educational package based on the MIPS architecture for FPGA platforms”, MSc. Thesis, University of Porto, Portugal, 2009.
XII. K. Kumar, M. Bharathi and S. Hariprasad, “Reconfigurable cache Implementation on FPGA”. International Journal of Scientific & Engineering Research, Vol. 4, Issue 7, pp. 1924-1928, July 2013.
XIII. K. Sundararajan, M. Jones and N. Topham, “Smart cache: A self adaptive cache architecture for energy efficiency”. In International Conference on Embedded Computer Systems: Architectures, Modeling and Simulation, pages 41-50, July 2011.
XIV. M. B. Ibne Reaz, et al., “A Single Clock Cycle MIPS RISC Processor Design using VHDL”, IEEE International Conference on Semiconductor Electronics (ICSE2002), Penang, Malaysia, PP. 126 – 129, DEC. 2002.
XV. Mezaal, Yaqeen S., et al. “Cloud computing investigation for cloud computer networks using cloudanalyst.” Journal of Theoretical and Applied Information Technology, 96(20), 2018.
XVI. M. C. Altiniğneli, “Pipelined Design Approach to Microprocessor Architectures a Partial Implementation: MIPS™ Pipelined Architecture on FPGA”, MSc. Thesis, Middle East Technical University, Turkey, 2005.
XVII. M. Linder, M. Schmid, “Processor Implementation in VHDL”, MSc. thesis, University of Ulster, Augsburg, Germany, 2007.
XVIII. P. Dandamudi, Fundamentals of Computer Organization and Design. 2nd ed. New York, USA: Springer, 2002.
XIX. R. Anjana, G. Krunal, “ VHDL Implementation of a MIPS RISC Processor”, International Journal of Advanced Research in Computer Science and software Engineering, Vol. 2, No.8, PP.83-88, 2012.
XX. R. Bhargavi and T. Sudarshan, “Design Space Exploration of Cache Memory –A Survey”. In International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), pp. 2294-2297, 2016.
XXI. R. Srinidhi “MIPS Processor Implementation”, MSc. Thesis, California State University Northridge, California, USA, 2012.
XXII. Roshani, Saeed, et al. “Filtering power divider design using resonant LC branches for 5G low-band applications.” Sustainability 14.19 (2022): 12291.
XXIII. R. S. Balpande, R. S. Keote, “Design of FPGA based Instruction Fetch & Decode Module of 32-bit RISC (MIPS) Processor”, International Conference on Communication Systems and Network Technologies (CSNT 2011), Katra, Jammu, PP. 409 – 413, Jun 2011.
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XXVII. Yaqeen S. Mezaal, Halil T. Eyyuboglu, and Jawad K. Ali. “New dual band dual-mode microstrip patch bandpass filter designs based on Sierpinski fractal geometry.” 2013 Third International Conference on Advanced Computing and Communication Technologies (ACCT). IEEE, 2013.
XXVIII. Yaqeen S. Mezaal, Halil T. Eyyuboglu, and Jawad K. Ali. “A novel design of two loosely coupled bandpass filters based on Hilbert-zz resonator with higher harmonic suppression.” 2013 Third International Conference on Advanced Computing and Communication Technologies (ACCT). IEEE, 2013.
XXIX. Yaqeen S. Mezaal, & Abdulkareem, S. F. (2018, May). New microstrip antenna based on quasi-fractal geometry for recent wireless systems. In 2018 26th Signal Processing and Communications Applications Conference (SIU) (pp. 1-4). IEEE.
XXX. V. Robio, “A FPGA Implementation of A MIPS RISC Processor for Computer Architecture Education”, MSc. thesis, New Mexico State University, Las Cruses, New Mexico, America, 2004.
XXXI. V. R. Wadhankar, V. Tehre, “A FPGA Implementation of a RISC Processor for Computer Architecture”, National Conference on Innovative Paradigms in Engineering & Technology (NCIPET-2012), Nagpur, India, PP. 24-28, 2012.

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A COMPARATIVE STUDY OF QUADRUPOLE RAIL LAUNCHER AND TWO-WING ARMATURE ELECTROMAGNETIC LAUNCHER: MAGNETIC AND PERFORMANCE METRICS

Authors:

Gajja Prasad, Kondamudi Srichandan

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00002

Abstract:

This study presents a novel two-wing armature electromagnetic launcher design that aims to overcome the limitations of conventional quadrupole railguns. The proposed TWAEL system exhibits significantly enhanced magnetic field properties, achieving a 23-fold increase in magnetic flux density, an increase in magnetic field intensity, and a 1.6-fold increase in current density compared to the QRL under identical input conditions. Consequently, the TWAEL demonstrates a 6.7-fold greater electromagnetic co-energy storage capacity per unit volume, translating to substantially higher accelerative forces, reaching up to 18,045 N. Simulations validate the TWAEL's superior performance in terms of magnetic field characteristics and energy conversion efficiency, highlighting its potential as an advanced, high-performance electromagnetic propulsion system for various applications.

Keywords:

Compressive Strength,GGBS,Metakaoline,Regression Analysis,Split Tensile Strength,

Refference:

I. Du, Xiangyu, et al. “Design and experimental study of a curved contact quadrupole railgun.” , vol. 11, no. 19, 28 Sep. 2022, p. 3108. 10.3390/electronics11193108.
II. Jamison, A., K., and R.E. Stearns. “Electrical performance of a round bore, augmented, quadrupole railgun.” , vol. 33, no. 1, 1 Jan. 1997, p. 560-565. 10.1109/20.560074.
III. Karpagam, R., et al. “Understanding the behaviour of magnetic field distribution of railgun under transient conditions using finite element method.” , vol. 31, 1 Feb. 2024, p. 100971. 10.1016/j.measen.2023.100971.
IV. Kumar, Pradeep. Studies and optimisation of pulsed power components and armature of electromagnetic railgun.
V. Liu, Shaowei, et al. “Investigation of Electromagnetic Characteristic in Series-Connected Augmented Quadrupole Rail Launcher.” Institute of Electrical and Electronics Engineers, vol. 48, no. 1, 1 Jan. 2020, p. 299-304. 10.1109/tps.2019.2960023.
VI. Liu, Shaowei, et al. “Research on transient contact characteristics of the hyperbolic rail augmented quadrupole launcher.” , vol. 50, no. 10, 1 Oct. 2022, p. 3794-3801. 10.1109/tps.2022.3205048.
VII. Liu, Yong, et al. Analysis and expansion of measuring method for rail heat in electromagnetic railgun. 1 Jan. 2024, p. 1-8. 10.1109/tps.2024.3424686.
VIII. Ma, Jiahe, et al. Finite element analysis of current density distribution in the sliding contact interface of electromagnetic railguns: A literature review. 1 Jan. 2024, p. 1-1. 10.1109/access.2024.3414648.
IX. Majumder, Balo, Dipjyoti, et al. “Effect of driving current profile on acceleration efficiency of electromagnetic railgun.” , vol. 14, no. 8, 1 Aug. 2024. 10.1063/5.0214320.
X. Mao, Wang, et al. “Analysis of the research progress of electromagnetic railgun based on CiteSpace.” , vol. 12, 1 Jan. 2024, p. 3499-3513. 10.1109/access.2023.3349028.
XI. Praneeth, Naga, R., S., and Bhim Singh. “Investigations on taper angle variation and its effects on electromagnetic railgun parameters.” , vol. 52, no. 4, 1 Apr. 2024, p. 1481-1485. 10.1109/tps.2024.3395360.
XII. Prasad, G, Prasad, G, and Kondamudi Srichandan. Performance evaluation on two wing ring type armature with inductive type electromagnetic launching system. 25 Nov. 2022, p. 1-5. 10.1109/piicon56320.2022.10045133.
XIII. Qiao, Zhiming, et al. “Check for updates multi-stage LCR square-wave circuit as practical pulsed power supply for electromagnetic railgun.” , vol. 3, p. 174.
XIV. Rodriguez, Josiah, et al. Design and simulation of an electromagnetic railgun for high velocity impact testing.
XV. Shao, K.R., et al. Numerical calculation of contact resistance of electromagnetic railgun. 1 Jan. 2024, p. 441-451. 10.1007/978-981-97-1420-9_49.
XVI. Shu, Tao, et al. “Comparison and analysis of electromagnetic characteristics of new quadrupole track electromagnetic launcher.” , vol. 711, no. 1, 1 Jan. 2020, p. 012004. 10.1088/1757-899x/711/1/012004.
XVII. Wen, Ruihu, et al. Comprehensive electromagnetic protection method of radio fuze for electromagnetic railgun. p. 0.
XVIII. Wu, Kongwei, et al. “Investigation on the microstructure evolution and mechanical properties of electromagnetic rail material in a launch environment.” , vol. 208, 1 Feb. 2024, p. 113582. 10.1016/j.matchar.2023.113582.
XIX. Yang, Zhiyong, et al. “An electromagnetic rail launcher by quadrupole magnetic field for heavy intelligent projectiles.” , vol. 45, no. 7, 1 Jul. 2017, p. 1095-1100. https://doi.org/10.1109/tps.2016.2646377.
XX. Yang, Zhiyong, et al. “An Electromagnetic Rail Launcher by Quadrupole Magnetic Field for Heavy Intelligent Projectiles.” Institute of Electrical and Electronics Engineers, vol. 45, no. 7, 1 Jul. 2017, p. 1095-1100. 10.1109/tps.2016.2646377.
XXI. Yang, Zhiyong, et al. Performances of a large scale quadrupole railgun. 1 Dec. 2017, p. 853-857. 10.1109/icctec.2017.00189.
XXII. Manohar, Kintali, et al. “A Comprehensive design and simulation of quadrupole electromagnetic linear systems for precise positioning in aerospace.” , vol. 19, no. 6, 11 Jun. 2024, 10.26782/jmcms.2024.06.00006.
XXIII. Manohar, Kintali, and Kondamudi Srichandan. “Analysis of quadrupole magnetic field reluctance-based launcher with different coil switching patterns.” , vol. 51, no. 5, 1 May. 2023, p. 1370–1376. 10.1109/tps.2023.3266515.
XXIV. Srichandan, Kondamudi, et al. “A novel type coil-multipole field hybrid electromagnetic launching system.” , vol. 15, 1 Dec. 2019, p. 102786. 10.1016/j.rinp.2019.102786.
XXV. Srichandan, Kondamudi, and Mallikarjuna Rao Pasumarthi. “Computations of magnetic forces in multipole field electromagnetic launcher.” , vol. 4, no. 3, 1 Jun. 2019, p. 761. 10.33889//ijmems.2019.4.3-059.
XXVI. Kondamudi, Srichandan, et al. “Design and analysis of cored type multipole field electromagnetic launcher (C-MFEML).” , vol. 8, p. 391–395.

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MICROSCOPICAL EXPLORATION OF POND ASH-INDUCED COMPRESSED INTERLOCKING BRICKS

Authors:

Gaurav Udgata, Kaliprasanna Sethy, Amaresh Tripathy, Kirtikanta Sahoo, Dipti Ranjan Biswal

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00003

Abstract:

Burnt clay bricks are widely used across India and remain one of the most essential materials in building construction. However, the excessive extraction of clay poses a threat to society, as brick kilns largely rely on high-quality clay sourced from agricultural land. To counter this issue this study evaluates the compressive strength and microstructural characteristics of pond ash-induced compressed interlocking bricks made using fly ash, pond ash, quarry dust, and varying amounts of lime and cement. Four different mixes (S1 to S4) were tested for compressive strength after 28 days, with the S2 mix containing 10% lime and no cement achieving the highest strength of 5.48 N/mm². SEM analysis showed a dense microstructure in S2, while S1 exhibited unreacted fly ash and calcium hydroxide, resulting in a lower strength of 3.94 N/mm². XRD results confirmed the presence of calcium silicate hydrate (CSH) gel in S2, responsible for the enhanced strength. EDAX analysis highlighted the highest calcium content in S2, further indicating the extensive pozzolanic reactions leading to better densification. The study confirms that the use of lime alone, in the absence of cement, can result in higher compressive strength through improved microstructural development.

Keywords:

Fly ash,Interlocking Blocks,Microstructure,Pond ash,

Refference:

I. Al-Fakih, Amin, et al. “Characteristic compressive strength correlation of rubberized concrete interlocking masonry wall.” Structures. Vol. 26. Elsevier, 2020. 10.1016/j.istruc.2020.04.010
II. Al-Fakih, Amin, et al. “Development of interlocking masonry bricks and its’ structural behaviour: A review paper.” IOP Conference Series: Earth and Environmental Science. Vol. 140. No. 1. IOP Publishing, 2018. 10.1088/1755-1315/140/1/012127
III. Annual report, Central Electricity Authority, Ministry of Power, Government of India, New Delhi, (2022-2023). https://cea.nic.in/wp-content/uploads/annual_reports/2023/Approved_CEA_Annual_Report_2022_23.pdf
IV. Balamuralikrishnan, R., and J. Saravanan. “Effect of addition of alccofine on the compressive strength of cement mortar cubes.” Emerging Science Journal 5.2 (2021): 155-170. 10.1016/j.cscm.2023.e01968
V. Bazzar, Kaoutar, Fatima Zahra Hafiane, and Adil Hafidi Alaoui. “The early age strength improvement of the high volume fly ash mortar.” Civil Engineering Journal 7.8 (2021): 1378-1388. 10.28991/cej-2021-03091731
VI. Bhavsar, Jay K., and Vijay Panchal. “Ceramic waste powder as a partial substitute of fly ash for geopolymer concrete cured at ambient temperature.” Civil Engineering Journal 8.07 (2022). 10.28991/CEJ-2022-08-07-05
VII. Chanda, Dabashis. A Study on Socio Demographic & Health Condition of Brick Field Workers in Different Areas of Bangladesh. Diss. East West University, 2016. http://dspace.ewubd.edu/handle/2525/1995
VIII. Ghosh, Ambarish, and Chillara Subbarao. “Hydraulic conductivity and leachate characteristics of stabilized fly ash.” Journal of Environmental Engineering 124.9 (1998): 812-820. 10.1061/(ASCE)0733-9372(1998)124:9(812)

IX. Ghosh, Prasenjit, and Sudha Goel. “Physical and chemical characterization of pond ash.” International Journal of Environmental Research and Development 4.2 (2014): 129-134.https://www.academia.edu/download/43606636/Physical_and_chemical_characterization_o20160310-16230-288rxh.pdf
X. Gupta, Gaurav, Hemant Sood, and Pardeep Gupta. “Performance evaluation of pavement geomaterials stabilized with pond ash and brick kiln dust using advanced cyclic triaxial testing.” Materials 13.3 (2020): 553. 10.3390/ma13030553
XI. Javan, Anooshe Rezaee, et al. “Mechanical behaviour of composite structures made of topologically interlocking concrete bricks with soft interfaces.” Materials & Design 186 (2020): 108347. http://dx.doi.org/10.1016/j.matdes.2019.108347
XII. Kumar, Rinku, and Naveen Hooda. “An experimental study on properties of fly ash bricks.” International journal of research in aeronautical and mechanical engineering 2.9 (2014): 56-67. https://www.jetir.org/papers/JETIRZ006049.pdf
XIII. Lal, Dhirajkumar, Aniruddha Chatterjee, and Arunkumar Dwivedi. “Investigation of properties of cement mortar incorporating pond ash–an environmental sustainable material.” Construction and Building Materials 209 (2019): 20-31. 10.1016/j.conbuildmat.2019.03.049
XIV. Mohamad, Habib Musa, et al. “Manufacture of concrete paver block using waste materials and by-products: a review.” GEOMATE Journal 22.93 (2022): 9-19. 10.21660/2022.93.j2363
XV. Prakash, K. Shyam, and Ch Hanumantha Rao. “Strength characteristics of quarry dust in replacement of sand.” IOP Conference Series: Materials Science and Engineering. Vol. 225. No. 1. IOP Publishing, 2017. 10.1088/1757-899X/225/1/012074
XVI. Rath, B., Shirish Deo, and G. Ramtekkar. “Durable glass fiber reinforced concrete with supplimentary cementitious materials.” International Journal of Engineering 30.7 (2017): 964-971. 10.5829/ije.2017.30.07a.05
XVII. Romeekadevi, M., and K. Tamilmullai. “Effective Utilization of Fly Ash and Pond Ash in High Strength Concrete.” International Journal of Engineering Research & Technology (IJERT)-special issue 3 (2015): 1-7 10.17577/IJERTCONV3IS04063.
XVIII. Safiee, Nor Azizi, et al. “Structural behavior of mortarless interlocking load bearing hollow block wall panel under out-of-plane loading.” Advances in structural engineering 14.6 (2011): 1185-1196. http://dx.doi.org/10.1260/1369-4332.14.6.1185
XIX. Sarkar, Raju, and A. R. Dawson. “Economic assessment of use of pond ash in pavements.” International Journal of Pavement Engineering 18.7 (2017): 578-594. 10.1080/10298436.2015.1095915
XX. Sarkar, Ritwik, Nar Singh, and Swapan Kumar Das. (2007) “Effect of addition of pond ash and fly ash on properties of ash—clay burnt bricks.” Waste management & research, Vol 25, No 6, 566-571. 10.1177/0734242X07080114
XXI. Shafabakhsh, Gholamali, and Saeed Ahmadi. (2016) “Evaluation of coal waste ash and rice husk ash on properties of pervious concrete pavement.” International Journal of Engineering, Vol 29, No 2, 192-201. 10.5829/idosi.ije.2016.29.02b.08
XXII. Sharmin, Shaila, Wahidul K. Biswas, and Prabir K. Sarker. “Exploring the Potential of Using Waste Clay Brick Powder in Geopolymer Applications: A Comprehensive Review.” Buildings 14.8 (2024): 2317. 10.3390/buildings14082317
XXIII. Sonawane, Prashant G., Arun Kumar Dwivedi, and P. Ash (2013). “Technical properties of pond ash-clay fired bricks–an experimental study.” American Journal of Engineering Research (AJER), Vol 2, No 9, 110-117. https://www.academia.edu/download/32048746/P029110117.pdf
XXIV. Thanoon, Waleed A., et al. “Development of an innovative interlocking load bearing hollow block system in Malaysia.” Construction and Building Materials 18.6 (2004): 445-454. 10.1016/j.conbuildmat.2004.03.013
XXV. Tripathy, A., & Acharya, P. K. (2024). Strength, life cycle analysis, embodied energy and cost-sensitivity assessment of sugarcane bagasse ash-based ternary blends of geopolymer concrete. European Journal of Environmental and Civil Engineering, 28(3), 591-610. 10.1080/19648189.2023.2219709
XXVI. Udgata,Gaurav.,Sahoo, Kirtikanta., Biswal, Dipti., Sahoo, Subham.(2024) “SUSTAINABLE INVESTIGATION ON POND ASH-INDUCED COMPRESSED INTERLOCKING BRICKS.” Journal of Mechanics of Continua and mathematical sciences, Vol-19,No-6 . 10.26782/jmcms.2024.06.00003
XXVII. Verma, Aditya, et al. “Utilization of pond ash as partial replacement of cement concrete mix.” International Research Journal of Engineering and Technology (IRJET) 3.3 (2016). https://www.irjet.net/archives/V3/i3/IRJET-V3I3108.pdf
XXVIII. Vidhya, K., and S. Kandasamy. “Experimental investigations on the properties of coal-ash brick units as green building materials.” International Journal of Coal Preparation and Utilization 36.6 (2016): 318-325. 10.1080/19392699.2015.1118379
XXIX. Vidhya, K., et al. “Experimental studies on pond ash brick.” J. Eng. Res. Develop 6.5 (2013): 6-11. http://www.ijerd.com/paper/vol6-issue5/B06050611.pdf
XXX. Vidhya, K., Kandasamy, K., Karthikeyan, S. R., & SathickBasha, G. (2013). Experimental studies on pond ash brick. J. Eng. Res. Develop, 6(5), 6-11. https://www.ijerd.com/paper/vol6-issue5/B06050611.pdf
XXXI. Vijay Adhithya A., Kalpana V. G., and Malavan K. (2021) “Development and performance evaluation of interlocking bricks using industrial waste materials.” International Journal of Advance Research, Ideas and Innovations in Technology, Volume 7, Issue 4 – V7I4-1207.https://www.ijariit.com/manuscript/development-and-performance-evaluation-of-interlocking-bricks-using-industrial-waste-materials/

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BAYESIAN ANALYSIS OF TOPP-LEONE EXPONENTIAL DISTRIBUTION WITH IDENTICAL PRIORS

Authors:

D. Saridha, R. K. Radha

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00004

Abstract:

This study focuses on estimating the shape and scale parameters of the Topp-Leone Exponential distribution. Bayes estimators are obtained using Exponential, Gamma, LogNormal, and Weibull distributions as the identical priors under asymmetric loss functions such as LINEX and Entropy and integrated with the Lindley approximation method. The simulation study was employed to determine identical prior and loss functions for the shape and scale parameters. It is observed that LINEX loss function with Exponential-Exponential prior for the shape parameter and the scale parameter Gamma-Gamma prior is most preferred for this distribution.

Keywords:

Asymmetric Loss Functions,Bayes Estimate,Lindley’s Approximation,MSE,Prior,

Refference:

I. Al-Shomrani, A., Arif O, Ibrahim, S., Hanif, S., and Shahbaz, M. “Topp–Leone Family of Distributions: Some Properties and Application.” Pakistan Journal of Statistics and Operation Research, vol. 12, no.3, 2016, pp. 443-451, doi.org/10.18187/pjsor.v12i3.1458.

II. Anitta, SA., and Dais George. ‘Bayesian Analysis of Two Parameter Weibull Distribution using Different Loss Functions.” Stochastic Modeling and Applications, vol. 24, no.2, 2020, https://www.mukpublications.com/resources/6_FT13_Final.pdf.

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IV. Metiri, Farouk, Zeghdoudi, Halim, and Riad Remiata, Mohamed .”On Bayes estimates of Lindley distribution under Linex loss function: Informative and Non-informative priors.” Global Journal of Pure and AppliedMathematics, vol. 12,2016, pp. 391- 400, https://api.semanticscholar.org/CorpusID:46201692.

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FUZZY PRODUCTION MODEL WITH FUZZY VALUED DEMAND WITH NONLINEAR SELLING PRICE, WARRANTY, AND LEVEL OF GREENNESS OF THE PRODUCT UNDER FUZZY DETERMINATION RATE

Authors:

Mrityunjoy Kumar Pandit

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00005

Abstract:

Many studies on manufacturing and inventory management for increasingly problematic commodities have focused on how quality, greenness, product warranties, and environmental concerns might be incorporated into industrial operations. However, comparatively few articles have integrated these two themes. To close this knowledge gap and advance practice, these two decaying object criteria must be included in the study. The following assumptions are used to create a warranty-based, sustainable production inventory model for green products.  In this article, we look at how greenness, product assurances, and reducing carbon emissions technologies impact overall profit to assist those making decisions to make better choices regarding pricing and replenishment. Due to the consideration of fuzzy valued inventory parameters along with the objective function's nonlinearity and the presence of five decision variables, we have addressed this problem with the help of the Lingo 18 software along with the defuzzification technique. The mathematical formula is quantitatively demonstrated in one experiment, and a sensitivity analysis is performed to determine the effects of various factors on overall profit and management insights.

Keywords:

Fuzzy Production model,Fuzzy valued demand,Green level of the product,Triangular fuzzy number,

Refference:

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COHESIVE FUZZY GRAPHS WITH APPLICATION IN URBAN DEVELOPMENT AND INFRASTRUCTURE COLLABORATION

Authors:

S. Sheelarani, J. Jon Arockiaraj

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00006

Abstract:

Public officials face a challenge when illustrating and assessing strategies for developing active communities, necessitating a thorough examination of inter-ministerial collaboration. This research is focused on introducing a Cohesive fuzzy graph that portrays cooperation and contributing factors between various ministries. The current graph can adeptly convert complex information by utilizing two variables, thereby enhancing the fidelity and effectiveness of hesitant fuzzy graphs in representing both information and phases. We demonstrate a cohesive fuzzy graph's practical application using the ideas of score function and deviation degree.

Keywords:

Cohesive fuzzy graph,Complex fuzzy graph,Fuzzy graph,Hesitant fuzzy graph. ,

Refference:

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KNOWLEDGE VS PRACTICE IN COMMUNITY MENTAL HEALTH NURSING: INSIGHTS FROM NURSING OFFICERS & CHOS IN ODISHA

Authors:

Anasuya Pattanayak, Soumya Sonalika, Debajani Sahoo, Alpana Mishra, Sikandar Kumar, Debasis Pradhan

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00007

Abstract:

Mental health care is a greatly underserved aspect of the general well-being, especially in resource-lacking settings. In India, mental healthcare has faced challenges of vast untreated mental disorders within populations. Community mental health care nursing has proven to be a very promising strategy. The objective of the study is to analyze the community mental health services about the curriculum for community mental health nursing. A quantitative research approach has been adapted to accomplish this by using a community-based survey research design. A total of 200 nursing service workers including Nursing Officers & CHO have been selected by following a multistage sampling strategy from four selected districts of Odisha. Demonstrating gradual improvements with experience, practice scores had a mean ± SD and median (IQR) each with a significant p-value of 0.015. It was found that most of the cases (56%) had a good or very good level of knowledge of mental health nursing, but 45.5% had good or very good practice in mental health nursing. The study revealed that the knowledge and the practice of the service gap of mental health were minimal. The majority of participants displayed good knowledge and sound practice. Recommendations by the nursing personnel included in-service education and training programmes to improve their knowledge along with the provision of adequate numbers of staff to manage the cases efficiently.

Keywords:

Community Mental Health Nursing,Community Nursing Officers,Knowledge,Practice,

Refference:

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XXXIX. Spencer MS, Rosland AM, Kieffer EC, et al. Effectiveness of a community health worker intervention among African American and Latino adults with type 2 diabetes: a randomized controlled trial. Am J Publ Health. 2011;101:2253–2260.tent&view=article&id=15481:mental-health-problems-are-the-leading-cause-of disability-worldwide-say-experts-at-paho-directing-council-side- event&Itemid=72565&lang=en
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XLI. X. Q., & Ruan, J. (2022). Experiences and challenges faced by community mental health workers when providing care to people with mental illness: a qualitative study. BMC psychiatry, 22(1), 623. 10.1186/s12888-022-04252-z

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YOLOV7-BASED MOVING OBJECT DETECTION IN DENSE FOG CONDITIONS

Authors:

Sharmistha Puhan, Sambit Kumar Mishra

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00008

Abstract:

Detecting moving objects in dense foggy conditions is a challenging problem in computer vision, with critical applications in smart transportation systems, surveillance, and autonomous driving. Fog particles scatter and absorb light, significantly reducing visibility and making it difficult for traditional computer vision algorithms to accurately detect moving objects. To address this challenge, researchers have proposed learning-based approaches that leverage deep neural networks to recognize moving objects and adapt to the unique characteristics of foggy environments. In this study, we present a learning-based method utilizing the YOLOv7 framework to effectively detect moving objects in dense fog conditions. The proposed approach involves four key stages: feature extraction, feature fusion, object detection, and non-maximum suppression. The results achieved are highly promising when compared to state-of-the-art techniques.

Keywords:

Moving Object Detection,Bad Weather,Foggy Environment,YOLO,YOLOv7,Profound Learning,Neural Network,

Refference:

I. Ahmed, Muhammad, et al. “Survey and performance analysis of deep learning based object detection in challenging environments.” Sensors 21.15 (2021): 5116. 10.3390/s21155116

II. Bijelic, Mario, et al. “Seeing through fog without seeing fog: Deep multimodal sensor fusion in unseen adverse weather.” Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition. 2020. 10.1109/CVPR42600.2020.01170

III. Bochkovskiy, Alexey, Chien-Yao Wang, and Hong-Yuan Mark Liao. “Yolov4: Optimal speed and accuracy of object detection.” arXiv preprint arXiv:2004.10934 (2020). 10.48550/arXiv.2004.10934

IV. Chaturvedi, Saket S., Lan Zhang, and Xiaoyong Yuan. “Pay” Attention” to Adverse Weather: Weather-aware Attention-based Object Detection.” 2022 26th International Conference on Pattern Recognition (ICPR). IEEE, 2022. 10.1109/ICPR56361.2022.9956149

V. Dong, Nan, Zhen Jia, Jie Shao, Zhipeng Li, Fuqiang Liu, Jianwei Zhao, and Pei-Yuan Peng. “Adaptive Object Detection and Visibility Improvement in Foggy Image.” Journal of Multimedia, vol.6, no. 1, 2011. doi:10.4304/jmm.6.1.14-21
VI. Farhadi, Ali, and Joseph Redmon. “Yolov3: An incremental improvement.” Computer vision and pattern recognition. Vol. 1804. Berlin/Heidelberg, Germany: Springer, 2018. 10.48550/arXiv.1804.02767

VII. Horvat, Marko, Ljudevit Jelečević, and Gordan Gledec. “A comparative study of YOLOv5 models performance for image localization and classification.” Central European Conference on Information and Intelligent Systems. Faculty of Organization and Informatics Varazdin, 2022.

VIII. Hsu, Han-Kai, et al. “Progressive domain adaptation for object detection.” Proceedings of the IEEE/CVF winter conference on applications of computer vision. 2020. 10.1109/WACV45572.2020.9093358

IX. Huang, Shih-Chia, Trung-Hieu Le, and Da-Wei Jaw. “DSNet: Joint semantic learning for object detection in inclement weather conditions.” IEEE transactions on pattern analysis and machine intelligence 43.8 (2020): 2623-2633. 10.1109/tpami.2020.2977911
X. Krišto, Mate, Marina Ivasic-Kos, and Miran Pobar. “Thermal object detection in difficult weather conditions using YOLO.” IEEE access 8 (2020): 125459-125476. 10.1109/ACCESS.2020.3007481

XI. Kumar, Prashant, et al. “Detection of video objects in dynamic scene using local binary pattern subtraction method.” Intelligent Computing, Communication and Devices: Proceedings of ICCD 2014, Volume 2. Springer India, 2015.

XII. Li, Chuyi, et al. “YOLOv6: A single-stage object detection framework for industrial applications.” arXiv preprint arXiv:2209.02976 (2022). 10.48550/arXiv.2209.02976

XIII. Liu, Wenyu, et al. “Image-adaptive YOLO for object detection in adverse weather conditions.” Proceedings of the AAAI conference on artificial intelligence. Vol. 36. No. 2. 2022. 10.1609/aaai.v36i2.20072

XIV. Nie, Xin, Meifang Yang, and Ryan Wen Liu. “Deep neural network-based robust ship detection under different weather conditions.” 2019 IEEE Intelligent Transportation Systems Conference (ITSC). IEEE, 2019. 10.1109/ITSC.2019.8917475

XV. Nithyanandham, Lalithamani. “Obstacle Detection of Vehicles under Fog.” International Journal of Simulation–Systems, Science & Technology 20.1 (2019).

XVI. Redmon, J. “You only look once: Unified, real-time object detection.” Proceedings of the IEEE conference on computer vision and pattern recognition. 2016. 10.1109/CVPR.2016.91

XVII. Rout, Deepak Kumar, and Sharmistha Puhan. “A spatio-temporal framework for moving object detection in outdoor scene.” International Conference on Computing and Communication Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. https://doi.org/10.1007/978-3-642-29216-3_54

XVIII. Rout, Deepak Kumar, and Sharmistha Puhan. “Video object detection using inter-frame correlation based background subtraction.” 2013 IEEE Recent Advances in Intelligent Computational Systems (RAICS). IEEE, 2013. 10.5120/14255-2364

XIX. Sen, Prithwish, Anindita Das, and Nilkanta Sahu. “Object detection in foggy weather conditions.” International Conference on Intelligent Computing & Optimization. Cham: Springer International Publishing, 2021. 10.1007/978-3-030-93247-3_70

XX. Sindagi, Vishwanath A., et al. “Prior-based domain adaptive object detection for hazy and rainy conditions.” Computer Vision–ECCV 2020: 16th European Conference, Glasgow, UK, August 23–28, 2020, Proceedings, Part XIV 16. Springer International Publishing, 2020. 10.1007/978-3-030-58568-6_45

XXI. Sharma, Teena, et al. “Deep learning-based object detection and scene perception under bad weather conditions.” Electronics 11.4 (2022): 563. 10.3390/electronics11040563

XXII. Walambe, Rahee, et al. “Lightweight object detection ensemble framework for autonomous vehicles in challenging weather conditions.” Computational Intelligence and Neuroscience 2021.1 (2021): 5278820. 10.1155/2021/5278820

XXIII. Zou, Zhengxia, et al. “Object detection in 20 years: A survey.” Proceedings of the IEEE 111.3 (2023): 257-276. 10.48550/arXiv.1905.05055

XXIV. Zhao, Zhong-Qiu, et al. “Object detection with deep learning: A review.” IEEE transactions on neural networks and learning systems 30.11 (2019): 3212-3232. 10.1109/TNNLS.2018.2876865

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QUALITATIVE ANALYSIS OF DEMOGRAPHIC PERSPECTIVE AND HUMAN POPULATION MODEL WITHIN BANGLADESH AND SRI LANKA

Authors:

Pinakee Dey, Anish Kumar Adhikary, Adham Abhi, Sharmin Sultana, Asif Hasan, Tania Rahman, Md. Monower Anjum Niloy, Shuvo Sarker, Rezaul Karim

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00009

Abstract:

This article presents projections of the future population growth in Bangladesh and Sri Lanka, along with a comparative analysis of the demographics of these two countries. Based on our projections, the projected population of Bangladesh in 2060 is estimated to be around 211 million, while the population of Sri Lanka is projected to be around 356 million. The exponential expansion of the global population represents one of the most formidable challenges facing humanity, profoundly impacting individual well-being while compelling transformative adaptations within societal frameworks and governmental institutions. Moreover, we have computed a forecast for the next period and included a demographic evaluation of the rural populations and crime rates of both nations in this piece. This study critically examines the precision and applicability of three mathematical frameworks, namely, the least squares model, the logistic growth model, and the Malthusian (exponential growth) model, in forecasting population dynamics within Bangladesh and Sri Lanka by the conclusion of the twenty-first century. Even though transgender individuals are recognized as the third gender, the appropriate statistics are not yet available. In addition, the study presents a speculative analysis of how the state has addressed the growth of its population in previous instances and how it would address it in coming years.

Keywords:

Crime Report and Rural People,Mean Absolute Percentage Error,Population Model,

Refference:

Ⅰ. Akhter, Tanjima, Jamal Hossain, and Salma Jahan. “Population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by using logistic growth model.” Pure and Applied Mathematics Journal 10.3 (2018): 164-176, 10.11648/j.pamj.20170606.13.
Ⅱ. AL MAMUN, H. A. S. A. N., et al. “ANALYZING AND PROJECTION OF FORECASTING POPULATION OF BANGLADESH USING EXPONENTIAL MODEL, LOGISTIC MODEL, AND DISCRETE LOGISTIC MODEL.” 10.17605/OSF.IO/S5UCD.
Ⅲ. Berkey, Catherine S., and Nan M. Laird. “Nonlinear growth curve analysis: estimating the population parameters.” Annals of human biology 13.2 (1986): 111-128, 10.1080/03014468600008261.
Ⅳ. Clark, T. J., and Angela D. Luis. “Nonlinear population dynamics are ubiquitous in animals.” Nature ecology & evolution 4.1 (2020): 75-81, 10.1038/s41559-019-1052-6.
Ⅴ. Cocks, Edmond. “Malthus on population quality.” Social Biology 18.1 (1971): 84-87, doi: 10.1080/19485565.1971.9987904.
Ⅵ. Cohen, Joel E. “Population growth and earth’s human carrying capacity.” Science 269.5222 (1995): 341-346, doi: 10.1126/science.7618100.
Ⅶ. Ehrlich, Isaac, and Francis Lui. “The problem of population and growth: A review of the literature from Malthus to contemporary models of endogenous population and endogenous growth.” Journal of Economic Dynamics and Control 21.1 (1997): 205-242, 10.1016/0165-1889(95)00930-2.
Ⅷ. Feeney, Griffith, and Iqbal Alam. “New estimates and projections of population growth in Pakistan.” Population and development review 29.3 (2003): 483-492, 10.1111/j.1728-4457.2003.00483.x.
Ⅸ. Henson, Shandelle M. “Mathematical models in population biology and epidemiology.” (2003): 254-258, 10.2307/3647954.
Ⅹ. Hsieh, Shun-Chieh. “Analyzing urbanization data using rural–urban interaction model and logistic growth model.” Computers, Environment and urban systems 45 (2014): 89-100, 10.1016/j.compenvurbsys.2014.01.002.
Ⅺ. Islam, Rashedul, et al. “Proliferation of stem cells in a population model.” Afr. J. Bio. Sci. 6.5 (2024): 2305-2328, 10.33472/AFJBS.6.5.2024.2305-2328.
Ⅻ. Karim, ANM Rezaul, et al. “Modeling on population growth and its adaptation: A comparative analysis between Bangladesh and India.” Journal of Applied and Natural Science 12.4 (2020): 688-701. 10.31018/jans.v12i4.2396.
XIII. Karim, Rezaul, et al. “A study about the prediction of population growth and demographic transition in Bangladesh.” Journal of Umm Al-Qura University for Applied Sciences (2024): 1-13, 10.1007/s43994-024-00150-0.
XIV. Karim, Rezaul, et al. “Investigate future population projection of Bangladesh with the help of Malthusian model, Sharpe-lotka model and Gurtin Mac-Camy model.” International Journal of Statistics and Applied Mathematics 5.5 (2020): 77-83, doi: 10.22271/maths.2020.v5.i5b.585.
XV. Karim, Rezaul, et al. “INVESTIGATION ON PREDICTING FAMILY PLANNING AND WOMEN’S AND CHILDREN’S HEALTH EFFECTS ON BANGLADESH BY CONDUCTING AGE STRUCTURE POPULATION MODEL.”, Journal of Mechanics of Continua and Mathematical Sciences, Vol. 19, no. 3, pp. 65–86, Mar. 2024, 10.26782/jmcms.2024.03.00005.
XVI. Kerry, C. C., et al. “A comparative study of mathematical and statistical models for population projection of Nigeria.” International Journal of Scientific and Engineering Research 8.2 (2017): 777-785. Available: http://www.ijser.org
XVII. Mimi, Mehenaz Aktar, Md Eaqub Ali, and Kanak Chandra Roy. “ANALYZE THE GROWTH RATE OF A PREY-PREDATOR SYSTEM WITH SIMULATION USING MATLAB.” Turkish Journal of Computer and Mathematics Education (TURCOMAT) 14.03 (2023): 480-497.
XVIII. Mondol, Hironmoy, Uzzwal Kumar Mallick, and Md Haider Ali Biswas. “Mathematical modeling and predicting the current trends of human population growth in Bangladesh.” Modelling, Measurement & Control. D: Manufacturing, Management, Human & Socio-Economic Problems 39.1 (2018), 10.18280/mmc_d.390101.
XIX. Mulligan, Gordon F. “Logistic population growth in the world’s largest cities.” Geographical Analysis 38.4 (2006): 344-370, 10.1111/j.1538-4632.2006.00690.x.
XX. Ofori, T., et al. “Mathematical Model of Ghana??????? s Population Growth.” International Journal of Modern Management Sciences 2.2 (2013): 57-66. Available: www.google.com.gh/publicdata/explore
XXI. Rosario, G. M., and M. J. Antony. “Mathematical Model for Future Popu-lation Scenario in India and China–An Econometric Approach.” International Journal of Scientific & Engineering Research 8.5 (2017): 62. Available: http://www.ijser.org
XXII. Shepherd, John J., and Laura Stojkov. “The logistic population model with slowly varying carrying capacity.” Anziam Journal 47 (2005): C492-C506, 10.21914/anziamj.v47i0.1058.
XXIII. Steinmann, Gunter, and John Komlos. “Population growth and economic development in the very long run: A simulation model of three revolutions.” Mathematical social sciences 16.1 (1988): 49-63, 10.1016/0165-4896(88)90004-2.
XXIV. Steven, Janet, and James Kirkwood. “Predicting population growth: modeling with projection matrices.” Mathematical concepts and methods in modern biology using modern discrete models (Eds.: RS Robeva and TL Hodge) (2013): 213-238. 10.1016/B978-0-12-415780-4.00007-7.
XXV. Turner Jr, Malcolm E., Brent A. Blumenstein, and Jeanne L. Sebaugh. “265 Note: A generalization of the logistic law of growth.” Biometrics (1969): 577-580. 10.2307/2528910.
XXVI. Ullah, Mohammad Sharif, et al. “Analyzing and projection of future Bangladesh population using logistic growth model.” International Journal of Modern Nonlinear Theory and Application 8.3 (2019): 53-61. 10.4236/ijmnta.2019.83004.
XXVII. Wali, Augustus N., Doriane Ntubabare, and Vedaste Mboniragira. “Mathematical modeling of Rwanda’s population growth.” (2011).

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RELIABILITY MODELING AND STOCHASTIC EVALUATION OF A MACHINE OF VARIOUS UNITS WITH IMMEDIATE REPAIR OF FAILED UNIT

Authors:

Shakuntla Singla, Ritu Rani, Diksha Mangla, Umar Muhammad Modibbo

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00010

Abstract:

This article discusses the design reliability and quality of dairy products. Reliability and stochastic analysis of a dairy plant divided into two units using the regenerative method. At startup time, both units are in active mode. If one of the units fails, the system remains in active mode but goes into a reduced state. If both units fail, the system enters an invalid state. The distribution of the repair time is arbitrary in this system, whereas the malfunctioning time is exponentially distributed. With the data gathered from the milk plant, we assess average time to system failure, availability, busy time, and profitability through a mathematical analysis in this work that makes use of the Laplace transform, semi-Markov process, and regenerative point. Consequently, the conclusion of this paper helps plant managers make timely maintenance decisions and enhance the system’s overall performance.

Keywords:

Average time to system failure,reliability,Laplace transform,busy time,

Refference:

I. Adlakha, N., Taneja, G. and Batra, S. (2017). Reliability and cost-benefit analysis of a twounit cold standby system used for communication through satellite with assembling andactivation time. Int. J. Appl. Eng. Res., 12, pp.: 9697–9702. https://www.ripublication.com/ijaer17/ijaerv12n20_59.pdf

II. Ahmadini, A.A.H., Singla, S., Mangla, D., Modibbo, U.M. and Rani, S., 2024. Reliability Assessment and Profit Optimization of Multi-unit Mixed Configured System using ABC Algorithm under Preventive Maintenance. IEEE Access, Digital Object Identifier 10.1109/ACCESS.2024.3406994
III. Barak M.S., Garg R. and Kumar A. (2021), “Reliability measures analysis of a milk plant using RPGT”, Life Cycle Reliab Saf Eng 10, pp.: 295-302. 10.1007/s41872-020-00163-8
IV. Batra, S. and Taneja, G. (2018). A reliability model for the optimum number of standby units in a system working with two operative units. Ciencia e Tecnica, 33:0254-0223.

V. Batra, S. and Taneja, G. (2018). Optimization of number of hot standby units through reliability models for a system operative with one unit. International Journal of Agricultural and Statistical Sciences,14. https://www.researchgate.net/publication/329376891

VI. Batra, S. and Taneja, G. (2018). Reliability and optimum analysis for number of standby units in a system working with one operative unit. International Journal of Applied Engineering Research, 13: 2791-2797. https://www.ripublication.com/ijaer18/ijaerv13n5_93.pdf

VII. Batra, S. and Taneja, G. (2019). Reliability modeling and optimization of the number of hot standby units in a system working with two operative units. An international journal of advanced computer technology, 10:3059-3068. https://ijact.in/index.php/j/article/view/481/461

VIII. Garg R. (2020). Behavioural Analysis of single Unit System Using RPGT. Journal of Xi’an University of Architecture and Technology, pp.: 2723-2735. 20.19001.JAT.2020.XII.I2.20.2084

IX. Jain, M. and Gupta, R. (2013). Optimal replacement policy for a repairable system with multiple vacations and imperfect fault coverage. Comput. Ind. Eng., 66(4), pp. 710-719. 10.1016/j.cie.2013.09.011

X. John, Y.M., Sanusi, A., Yusuf, I. and Modibbo, U. M. (2022). Reliability analysis of multi-hardware-software system with failure interaction. J., 66, pp. 957-977. 10.47852/bonviewJCCE2202216

XI. Kumari S., Khurana P. and Singla S. (2022). Behavior and profit analysis of a thresher plant under steady state. Int J Syst Assur Eng Manag 13, pp.: 166-171. 10.1007/s13198-021-01183-y

XII. Levitin, G., Finkelstein, M., and Xiang, Y. (2020). Optimal preventive replacement for cold standby systems with elements exposed to shocks during operation and task transfers. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 10, pp.: 2168–2216. 10.1109/TSMC.2020.3034493

XIII. Mahmoud, M. A. W. and Moshref, M. E. (2009). On a two-unit cold standby system considering hardware, human error failures, and preventive maintenance. Math. Comput. Model., 51, pp.: 736–745. 10.1016/j.mcm.2009.10.019

XIV. Malhotra. and Taneja, G. (2015). Comparative study between a single unit system and a two-unit cold standby system with varying demand.Springerplus, 4, pp.: 1–17. 10.1186/s40064-015-1484-7

XV. Malhotra, R., Dureja, T., and Goyal, A. (2021). Reliability analysis a two-unit cold redundant system working in a pharmaceutical agency with preventive maintenance. In Journal of Physics: Conference Series, 10, pp.: 1742–1750. 10.1088/1742-6596/1850/1/012087

XVI. Manocha, A. and Taneja, G. (2015). Stochastic analysis of a two-unit cold standby system with arbitrary distributions for life, repair and waiting times. Int. J. Performability Eng., 11, pp.:293–299. 10.23940/ijpe.15.3.p293.mag

XVII. Manocha, A., Taneja, G. and Singh, S. (2017). Stochastic and cost-benefit analysis of two-unit hot standby database system. Int. J. Performability Eng., 13, pp.: 63–72. 10.23940/ijpe.17.01.p5.6372

XVIII. Modibbo, U. M., Arshad, M., Abdalghani, O. and Ali, I. (2021). Optimization and estimation in system reliability allocation problem. Rel. Eng. Syst. Saf., 212. 10.1016/j.ress.2021.107620

XIX. Raghav, Y.S., Mradula, Varshney, R., Modibbo, U.M, Ahmadini, ., A. A. H., and Ali, I. (2022). Estimation and optimization for system availability under preventive maintenance. IEEE Access, 10, pp.: 94337-94353. 10.1109/ACCESS.2022.3204394

XX. Singla, S. and Rani, S., 2023, November. Performance Optimization of 3: 4:: Good System. Second International Conference on Informatics (ICI) IEEE, pp.: 1-4. https://iciconference.org/

XXI. Singla S., Mangla, D., Panwar, P. and Taj, S. Z. (2024). Reliability optimization of a degraded system under preventive maintenance using genetic algorithm,” J. Mech. Continua Math. Sci., 2024. 10.26782/jmcms.2024.01.00001

XXII. Singla S, Mangla D, Kumar M. A., Muhammad M.U. (2024). Reliability optimization methods: A systematic literature review. Yugoslav Journal of Operations Research. 10.2298/YJOR230715031S

XXIII. Singla, S., Rani, S., Modibbo, U. M. and Ali, I. (2023). Optimization of system parameters of 2:3 good serial system using deep learning. Rel., Theory Appl., pp. 670-679. 10.24412/1932-2321-2023-476-670-679

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