Analysis of the criteria selection problem in diversification models

Authors

DOI:

https://doi.org/10.30837/ITSSI.2023.26.005

Keywords:

Computer simulation, multicriteria problem, optimal portfolio problem, convolution of criteria, method of successive concessions, Pareto set, entropy

Abstract

The digitalization of the economy reduces the cost of doing business by automating the relevant processes, but any transformation creates new risks and economic instability. Economic instability leads to a drop in the standard of living and, as a result, negatively affects the activities of trade enterprises. Small and medium businesses are especially sensitive to any changes. The decrease in demand for most everyday goods has a painful effect on the activities of small and medium-sized businesses and leads to the emergence of new risks. These risks have a significant impact on reducing the profitability of enterprises. Therefore, it is important for each enterprise to diversify the activities of the enterprise, which includes the expansion of the product range, the reorientation of sales markets and the optimal distribution of goods between divisions of one enterprise.The subject of the article is multi-criteria models of a diversified portfolio that minimize the risks that arise in the era of the digital economy when managing retail chains. To formalize the problem, five models are proposed that differ in vector objective functions, both in the quantity and quality of the selected criteria. The aim of the work is to analyze the problem of choosing criteria in the corresponding multicriteria or vector diversification problems. The article examines the advantages of introducing an additional criterion of entropy maximization into the criteria of the classical two-criteria model of portfolio theory, which characterizes the degree of diversity of the portfolio composition. A complex combination of methods of classical portfolio theory and multicriteria optimization is applied. The results include a comparison of three methods for solving the following problems: criteria convolution, successive concessions, and computer simulation of the Pareto set. Conclusions: the results obtained will be useful for automating the risk management of retail chains. The practical value is that the obtained results of real data for the network have demonstrated the possibility of using the developed tool for automatic allocation of resources in the form of pareto-optimal portfolios in order to minimize risks.

Author Biographies

Anna Bakurova, National University "Zaporizhzhia Polytechnic"

Senior Doctorate DLitt

Alla Savranska, National University "Zaporizhzhia Polytechnic"

PhD (Physics and Mathematics), Associate Professor

Elina Tereschenko, National University "Zaporizhzhia Polytechnic"

PhD (Physics and Mathematics), Associate Professor

Dmytro Shyrokorad, National University "Zaporizhzhia Polytechnic"

PhD (Physics and Mathematics), Associate Professor

Mark Shevchuk

Postgraduate student

References

A Look Into the 2022 Digital Frontier, U.S. Chamber of Commerce’s 2nd Annual Global Forum". URL: https://www.uschamber.com/on-demand/technology/digital-economy-the-global-competition-to-write-the-rules, (last accessed 22.03.2023).

Zanjirdar, M., (2020), Overview of Portfolio Optimization Models. Advances in mathematical finance and applications. 5(4). P. 419–435. DOI: 10.22034/amfa.2020.1897346.1407

Ghandehari, M., Azar, A., Yazdanian, A., Golarzi, Gh. (2019), "A Hybrid Model of Stochastic Dynamic Programming and Genetic Algorithm for Multistage Portfolio Optimization with Glue VaR Risk Measurement". Industrial Management Journal. No. 11 (3). P. 517–542. DOI: 10.22059/IMJ.2019.278912.1007579

Kwon, R., Butler, A. (2021), "Covariance Estimation for Risk-Based Portfolio Optimization". An Integrated Approach. Journal of Risk. No. 24 (2). Р. 11-41. DOI: 10.21314/JOR.2021.020

Chaweewanchon, A., Chaysiri, R. (2011), "Markowitz Mean-Variance Portfolio Optimization with Predictive Stock Selection Using Machine Learning", International Journal of Financial Studies. No. 10 (3), P. 64–73. DOI: https://doi.org/10.3390/ijfs10030064

Lim, Q.Y.E., Cao, Q. Quek, C. (2022), "Dynamic portfolio rebalancing through rein for cement learning". Neural Computing and Applications. Vol. 34, P. 7125–7139. DOI:10.1007/s00521-021-06853-3

Sharma, M., Shekhawat, H.S. (2022), "Portfolio optimization and return prediction by integrating modified deep belief network and recurrent neural network". Knowledge-Based Systems. Vol. 250, Р. 1–19. DOI:10.1016/j.knosys.2022.109024

Escobar-Anel, M., Kschonnek, M., Zagst, R. (2022), "Portfolio optimization: not necessarily concave utility and constraints on wealth and allocation". Mathematical Method sof Operations Research. Vol. 95. P. 101–140. https://doi.org/10.1007/s00186-022-00772-2

Grechuk, B., Hao, D. (2022), "Individual and cooperative portfolio optimization as line ar program". Optimization Letters. Vol.16. P. 2569–2589. DOI:10.1007/s11590-022-01901-w

Mazin, A. M. Al Janabi (2021), "M.A.M.: Multivariate portfolio optimization under illiquid market prospects: a review of theoretical algorithms and practical techniques for liquidity risk management". Journal of Modellingin Management. No.16(1). P. 288-309. DOI:10.1108/JM2-07-2019-0178

Ahmadi-Javid, A., Fallah-Tafti, M. (2019), "Portfolio optimization with entropic value-at-risk". European Journal of Operational Research. No. 279(1). P. 225-241. https://doi.org/10.1016/j.ejor.2019.02.007

Markowitz, H. M., Blay, K. "Risk–Return Analysis. The Theory and Practice of Rational Investing (a four-volume series), McGraw-Hill". 2014. 208 р. URL: https://books.google.com.ua/books/about/Risk_Return_Analysis_The_Theory_and_Prac.html?id=_GknVPOReYoC&redir_esc=y

Xidonas, P., Steuer, R. Hassapis, C. (2020), "Robust portfolio optimization: a categorized bibliographic review". Annalsof Operations Research. Vol.292. P. 533–552. DOI: 10.1007/s10479-020-03630-8

Perepelitsa, V. A., Kozin I. V., Tereshchenko, E. V. (2012), Classification tasks: approaches, methods, algorithms [Zadachi classifikatsii i formirovanie znaniy. -Saarbrucken, Germany] LAP LAMBERT Academic Publishing Gmbh&Co. KG. 196 р.

Ehrgott, M. (2005), "Multicriteria Optimization". Springer, Heidelberg. Vol. XIII. 323 р. DOI: https://doi.org/10.1007/3-540-27659-9

Engau A., Sigler D. (2020), "Pareto solution sin multi criteria optimization underrun certainty". European Journal of Operational Research. No.281 (2). P. 357–368. DOI: 10.1016/j.ejor.2019.08.040

Zhou W., Zhu W., Chen Y., Chen J. (2022), "Dynamic changes and multi-dimensional evolution of portfolio optimization". Economic Research-Ekonomska Istraživanja. Vol.35(11):1-26. P. 1431-1456. DOI:10.1080/1331677X.2021.1968308

Bakurova, A., V., Ropalo, H., M., Tereschenko, E. V. (2021), "Analysis of the Effectiveness of the Successive Concessions Method to Solve the Problem of Diversification". MoMLeT+DS 2021: 3rd International Work shop on Modern Machine Learning Technologies and Data Science. P. 231-242. URL: https://ceur-ws.org/Vol-2917/paper21.pdf

Mathworks, "MATLAB for Artificial Intelligence". URL: https://www.mathworks.com/campaigns/products.

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Published

2023-12-27

How to Cite

Bakurova, A., Savranska, A., Tereschenko, E., Shyrokorad, D., & Shevchuk, M. (2023). Analysis of the criteria selection problem in diversification models. INNOVATIVE TECHNOLOGIES AND SCIENTIFIC SOLUTIONS FOR INDUSTRIES, (4(26), 5–15. https://doi.org/10.30837/ITSSI.2023.26.005