ANALYSIS OF STRUCTURAL CHANGES OF THE BALANCE SHEET ECOLOGICAL-ECONOMIC MODELS OF THE “INPUT-OUTPUT” TYPE

Authors:

V. Kudin,A. Onyshchenko,E. Rostomian,

DOI NO:

https://doi.org/10.26782/jmcms.2024.06.00001

Keywords:

Basic Matrices,Ecological and Economic System,Method of Exact Calculations,Sustainable Development,Ill-Conditioned System of Linear Equations,

Abstract

The purpose of the research is to develop methods, algorithms, and computational procedures of analysis, and solution (subsolution) of problems during changes at the stages of ecological and economic modelling of processes. Metaheuristics are proposed, which take into account the experimentally obtained knowledge about the properties of the model. A computational experiment was conducted to analyze the properties of the improved "input-output" model (linear system) using the method of basic matrices. This method has several software implementations of the corresponding algorithms in "exact" and "long" numbers. It includes the ability to both solve the problem (from beginning to end) and resolve the problem with changes in the model (without re-solving at first). Hence, using the example of calculations based on the speed criterion, decision-making on choosing the "best" algorithm for solving the problem is demonstrated.

Refference:

I. A. Grylitska. : Digital audit as a key element of Ukraine’s way out from Covid-19’. Journal of International Legal Communication. Vol. 7(4), pp. 5-12, 2022. 10.32612/uw.27201643.2022.7
II. A. Onyshchenko, О. Voloshin, V. Kudin, L. Khrushch. : ‘Formation of priorities of national macroeconomical politics under the conditions of implementation of the Paris agreements’. International Journal “Information Models and Analyses”. Vol. 6(1) pp. 68-83, 2017.
III. A. S. Joshi, O. Kulkarni, G.M. Kakandikar, V.M. Nandedkar. : ‘Cuckoo Search Optimization- A Review’. Materials Today: Proceedings. Vol. 4(8) pp. 7262-7269, 2017. 10.1016/j.matpr.2017.07.055
IV. BLAS (Basic Linear Algebra Subprograms). (n.d.). http://www.netlib.org/blas/sblat1
V. H. Li, H. Yang, H. Shao. : ‘A note on the perturbation analysis for the generalized Cholesky factorization’. Applied Mathematics and Computation. Vol. 215(11) pp. 4022–4027, 2010. 10.1016/j.amc.2009.12.009
VI. J. A. Villalobos-Lopez. : ‘Digital media and social networks in Mexico’. Journal of International Legal Communication. Vol. 5(2), pp. 7-35, 2022.
VII. J. S. Wang, S. X. Li. : ‘An Improved Grey Wolf Optimizer Based on Differential Evolution and Elimination Mechanism’. Scientific Reports. Vol. 9, article number 7181, 2019.
VIII. K. Balasubramanian, Ah. Mahmoud. : ‘Abbas A Software Library for Multi Precision Arithmetic’. Algorithmic Strategies for Solving Complex Problems in Cryptography. pp. 195-198. Hershey: Information Science Reference, 2018.
IX. Large Integer Package. 2023.
https://github.com/luckyaibin/BigInt/tree/master/freelip
X. Multiple Precision Integer Library (MPI). 2023. https://github.com/servo/nss/tree/master/lib/freebl/mpi
XI. M.-Yu. Cheng, D. Prayogo. : ‘Symbiotic Organisms Search: A new metaheuristic optimization algorithm’. Computers & Structures. Vol. 139, pp. 98-112, 2014. 10.1016/j.compstruc.2014.03.007
XII. OpenSSL Cryptographic Toolkit. 2023. http://openssl.org
XIII. Optimizing Multiple-Resources Levelling in Multiple Projects Using Discrete Symbiotic Organisms. 2023.
XIV. O. Voloshin, A. Onyshchenko, V. Kudin, Y. Tverdokhlib. : ‘Analysis of the influence of implementation of international environmental restrictions on energy efficiency in means of national economy branch’. International Journal “Information Theories and Applications”. Vol. 5(2) pp. 17-32, 2018.
XV. R. Duminică, A. N. Puran. : ‘Requirements of the language used by the legislator in the construction of the normative text. Special look at the Romanian legislative technique’. Journal of International Legal Communication. Vol. 7(4) pp. 30-37, 2022. 10.32612/uw.27201643.2022.7
XVI. S. Hermawanto, T. A. Negara, B. Sugiri. : ‘Legal implications of unclear regulation of responsible subjects in the fulfillment of human rights’. Journal of International Legal Communication. Vol. 7(4), pp. 38-47, 2022. 10.32612/uw.27201643.2022.7
XVII. S. K. Mallik, S. Chakrabarti, S. Niwas. : ‘Singh Analysis of Ill-conditioning of hybrid state estimators in the presence of PMU measurements’. Energy Conversion and Economics. Vol. 2(1). pp. 35-44, 2021.
XVIII. The GNU Multiple Precision Arithmetic Library. 2023. https://gmplib.org/
XIX. T. Nishi, S. Rump, S. Oishi. : ‘A consideration on the condition number of extremely ill-conditioned matrices’. European Conference on Circuit Theory and Design (ECCTD), 2013. 10.1109/ecctd.2013.6662260
XX. V. Kudin, V. Onotskyi, A. Al-Ammouri, L. Shkvarchuk. : ‘Advancement of a long arithmetic technology in the construction of algorithms for studying linear systems’. Eastern-European Journal of Enterprise Technologies. Vol. 1(4-97), pp. 14-22, 2019.
XXI. V. Kudin, A. Onyshchenko, I. Onyshchenko. : ‘Algorithmizing the methods of basis matrices in the study of balance inter-sectoral ecological and economic models’. Eastern-European Journal of Enterprise Technologies. Vol. 3(4), pp. 45–55, 2019. 10.15587/1729-4061.2019.170516
XXII. V. S. Wibawa, I. Sudarsono, Sh. Hadiyantina. : ‘The prudence of administrative judges in the digital evidence in the era of applying e-government Information Technology’. Journal of International Legal Communication. Vol. 7(4), pp. 23-29, 2022. 10.32612/uw.27201643.2022.7.pp.23-29
XXIII. X. Zhou, Sh. Tian, J. An, Ju. Yang, Yu. Zhou, D. Yan, J. Wu, X. Shi, X. Jin. : ‘Comparison of different machine learning algorithms for predicting air-conditioning operating behaviour in open-plan offices’. Energy and Buildings, 2021.
XXIV. X. S. Yang. : ‘Nature-Inspired Metaheuristic Algorithms’. Headquarters: Luniver Press, 2010.
XXV. X. S. Yang, S. Deb. : ‘Cuckoo search: Recent advances and applications’. Neural Computing & Application. Vol. 24, pp. 169–174, 2014. 10.1007/s00521-013-1367-1

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