Authors:
L. Munda,G. Taneja,K. Sachdeva,DOI NO:
https://doi.org/10.26782/jmcms.2025.01.00002Keywords:
Reliability,Regenerative Point Technique,Hot Standby,Warm Standby,Economical Analysis,Abstract
The technique of redundancy, often known as standby, has been frequently used to increase system availability and reliability. The system comprises three units -operative, hot standby, and warm standby- which have varying failure rates following an exponential distribution. If the operative unit fails to function, a hot standby unit takes over if available. The switching of the warm standby unit concept is taken under consideration whenever a warm standby unit is required to be made operative. Warm standby unit repairs are prioritized when any unit has to be repaired since these repairs can be completed more quickly than other failed units as they work under less load and experience minimal failures. When both the operative and hot standby units fail, the hot standby is repaired first since it functions with the same load though it is not in operation, which allows for an earlier repair than the operative unit. Regeneration point technique has been used for finding various measures. Cut-off points for the revenue cost and cost per repairman visit have been computed to ascertain the profitability of the system.Refference:
I. A. Kumar, D. Pawar and S. C. Malik: ‘Profit analysis of a warm standby non-identical unit system with single server performing in normal/abnormal environment’. Life Cycle Reliability and Safety Engineering. Vol. 8, pp. 219-226, 2019. 10.13140/RG.2.2.15459.22567/7.
II. A. Manocha, G. Taneja and S. Singh: ‘Modeling and analysis of two- unit hot standby database system with random inspection of standby unit’. International Journal of Performability Engineering. Vol. 15, pp. 156-180, 2019. 10.1504/IJMOR.2019.10022964.
III. C. Christov, N. Stoytcheva: ‘Reliability and safety research of hot standby Microcomputer signally systems’. Periodicapolytechnic Ser- TRANSP. ENG. Vol. 27, pp. 17-28, 1999. 10.1016/0026-2714(93)90017.
IV. G. Mokaddis, M. El-Sherbeny and M. Ayid: ‘Stochastic Behaviours of a Two Unit Warm Standby System with Two Types of Repairmen and Patience Time’. Journal of Mathematics and Statistics. Vol. 5, pp 42-46, 2009. 10.1016/S0895-7177(98)00145-9.
V. L. I. Yuan, X. Y. Meng: ‘Reliability analysis of a warm standby repairable system with priority in use’. Applied Mathematics Modeling. Vol. 35, pp 4295-4303, 2011. 10.1016/j.apm.2011.03.002.
VI. L. Munda, G. Taneja: ‘Combined Redundancy Optimization for a System Comprising operative, Cold Standby and Warm Standby Unit’. Reliability: Theory & Application. Vol 18, pp 486-497, 2023. 10.24412/1932-2321.
VII. L. Munda, G. Taneja and K. Sachdeva: ‘Reliability and Profitability Analysis of a Mixed Redundancy Standby System Comprising Operative Unit Along with Hot and Cold Standby’. International journal Agriculture science. Vol 19, pp 1501-1509, 2023. 10.59467/IJASS.2023.19.1501
VIII. L. R. Goel, P. Gupta: ‘Analysis of a Two-Unit Hot Standby System with Three Modes’. Microelectronics reliability. Vol 23, pp 1029-1033, 1983. 10.1016/0026-2714(83)90515-2
IX. M. Saini, J. Yadav and A. Kumar: ‘Reliability, availability and maintainability analysis of hot standby’. Int J Syst. Assure Eng. Manage. Vol 13, pp 2458-2471, 2022. 10.1016/j.ress.2013.02.017.31.
X. Parveen, D. Singh and A. K. Taneja: ‘Redundancy Optimization for a System Comprising One Operative Unit and N Warm Standby Unit With Switching Time’. International journal Agriculture science. Vol 19, pp 1339- 1350, 2023. 10.59467/IJASS.2023.19.1339
XI. Parveen, D. Singh and A. K. Taneja: ‘Redundancy Optimization for a System Comprising One Operative Unit and N Hot Standby Unit’. Reliability theory & Application. Vol 4, pp 486-497, 2023. https://www.gnedenko.net/Journal/2023/042023/RTA_4_2023-46.pdf
XII. S. Batra, G. Taneja: ‘Optimization of number of hot standby units through reliability models for a system operative with one unit’. International Journal of Agricultural and Statistical Sciences. Vol 14, pp 0973–1903, 2018. https://connectjournals.com/file_html_pdf/2838401H_365-370a.pdf
XIII. S. Batra, G. Taneja: ‘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. Vol 10, pp 3059–3068, 2019. 10.26782/jmcms.2024.12.00010.
XIV. S. M. Rizwan, V. Khurana and G. Taneja: ‘Reliability modeling of a hot standby PLC system’. Proc. of International conference of Communication, Computer and power, Sultan Qaboos University, Oman, pp 486-489, 2005. 10.1080/02286203.2010.11442586.
XV. S. K. Srinivasan, R. Subramanian: ‘Reliability Analysis of a Three Unit Warm Standby Redundant System with Repair’. Annals of Operation Research, Vol. 143, pp 227-235, 2006. 10.1007.s10479-006-7384-z.
XVI. S. Kumari, R. Kumar: ‘Comparative Analysis of Two-Unit Hot Standby Hardware- Software Systems with Impact of Imperfect Fault Converges’. International Journal of Statistics and Systems, Vol. 12, pp 705-719, 2017. https://www.ripublication.com/ijss17/ijssv12n4_05.pdf