MULTI-CRITERIA OPTIMIZATION MODELLING OF A PORTFOLIO OF DECISIONS FOR ENTERPRISE ADAPTIVE DEVELOPMENT

PDF (Українська)

Keywords

enterprise adaptive development
multi-criteria optimization
portfolio of managerial decisions
robust optimization
CVaR
parametric uncertainty

How to Cite

Makedon, V., & Nechaiev, D. (2026). MULTI-CRITERIA OPTIMIZATION MODELLING OF A PORTFOLIO OF DECISIONS FOR ENTERPRISE ADAPTIVE DEVELOPMENT. Entrepreneurship and Trade, (50), 145-154. https://doi.org/10.32782/2522-1256-2026-50-14

Abstract

The article develops a multi-criteria optimization model for constructing a portfolio of managerial decisions aimed at enterprise adaptive development, taking into account resource constraints, economic interdependencies among measures, and parametric uncertainty. The study focuses on substantiating the rational composition of the portfolio, the intensity of implementing alternative measures, and the sequence of their implementation. Economic and mathematical modelling, multi-criteria optimization, stochastic programming, scenario analysis, and risk assessment methods are employed. The Adaptive Development Portfolio Optimization Model (ADPOM) is developed using discrete and continuous decision variables. A matrix of synergistic and conflicting interactions is applied to account for interdependencies among managerial measures. The resilience of portfolio decisions is examined through robust optimization and Conditional Value at Risk (CVaR) assessment. A nonlinear relationship between adaptive portfolio performance and available financing is established. The effects of resource conflicts, time lags, and diminishing marginal returns on the selection of managerial alternatives are identified. The rationale for integrating economic performance with risk control and resource reservation is substantiated. Changes in portfolio configuration under increasing parametric uncertainty are examined. An integrated adaptive portfolio optimization model is proposed, combining economic returns, changes in the enterprise's adaptive state, synergies among managerial measures, tail risk, and the robustness of managerial decisions. A methodological approach to determining the marginal efficiency of alternatives and assessing the value of adaptive optimization is further developed. The proposed analytical framework is designed to support managerial decisions concerning digitalization, production modernization, resource optimization, and logistics processes. Its application enables the comparison of alternative portfolio configurations, alignment of investment priorities with enterprise resource capabilities, and substantiation of implementation schedules. The proposed model also contributes to establishing budget reserves, timely revision of managerial priorities, and strengthening the enterprise's market resilience.

https://doi.org/10.32782/2522-1256-2026-50-14
PDF (Українська)

References

Єрьомін М. В. Адаптивне прийняття управлінських рішень в умовах цифрової трансформації. Київський економічний науковий журнал. 2025. № 10. С. 56-62. DOI: http://dx.doi.org/10.32782/2786-765X/2025-10-8

Завражний К. Ю., Кулик А. К. Аналіз моделі діяльності компанії як основа для успішної цифрової трансформації та сталого розвитку. Науковий вісник Полтавського університету економіки і торгівлі. Серія «Економічні науки». 2024. № 1 (111). С. 12-18. DOI: http://dx.doi.org/10.37734/2409-6873-2024-1-2

Кришталь Г. О. Економіко-математичне моделювання впливу цифровізації на продуктивність підприємств в умовах трансформаційної економіки. Український економічний часопис. 2026. № 13. С. 115–119. DOI: http://dx.doi.org/10.32782/2786-8273/2026-13-17

Процак К. В., Тетерін О. А., Дацюк А. М. Цифрова трансформація як інструмент підвищення адаптивності бізнесу до соціальних і технологічних змін. Економічний простір. 2025. № 207. С. 57-63. DOI: http://dx.doi.org/10.30838/EP.207.57-63

Хахалєв Д. О. Формування адаптивної стратегії управління підприємством в умовах цифрової трансформації. Енергозбереження. Енергетика. Енергоаудит. 2025. № 6 (209). С. 119-128. DOI: http://dx.doi.org/10.20998/2313-8890.2025.06.09

Юрченко О. Детермінанти цифрової трансформації малих та середніх підприємств. Економіка та суспільство. 2025. № 71. DOI: http://dx.doi.org/10.32782/2524-0072/2025-71-169

Cui L., Chen R., Gai S., Chen L., Wu L. Digital transformation and organizational resilience: A resource orchestration perspective on R&D investment intensity. Journal of Business Research. 2026. Vol. 215. Art. 116306. DOI: http://dx.doi.org/10.1016/j.jbusres.2026.116306

Makedon V., Myachin V., Kuriacha N., Chaika Yu., Koptilyi D. Development of strategic management of a corporation through the implementation of scenario analysis. Scientific Bulletin of Mukachevo State University. Series “Economics”. 2025. Vol. 12, No. 2. P. 135-146. DOI: http://dx.doi.org/10.52566/msu-econ2.2025.135

Makedon V., Myachin V., Aloshyna T., Cherniavska I., Karavan N. Improving the Readiness of Enterprises to Develop Sustainable Innovation Strategies through Fuzzy Logic Models. Economic Studies (Ikonomicheski Izsledvania). 2025. Vol. 34. № 5. P. 165–179.

Nielsen M. K., Jacobsen A. M. S. Ø., Carstensen J. L., Nielsen M. T., Tambo T. Industrial R&D project portfolio selection method using a multi-objective optimization program: A conceptual quantitative framework. Journal of Industrial Engineering and Management. 2024. Vol. 17, No. 1. DOI: https://doi.org/10.3926/jiem.6552

Pishvaei M., Ashrafi M., Haghighi M. H. Developing a resilient project portfolio optimization model: a tool for an automotive part manufacturer against uncertainties. Journal of the Operational Research Society. 2025. Vol. 76, No. 11. P. 2359-2376. DOI: http://dx.doi.org/10.1080/01605682.2025.2468790

Wang Z., Bai S., Zhang X. A robust optimization model for R&D project portfolio risk response decision-making considering risk interaction and regret perception. Journal of Industrial and Management Optimization. 2024. Vol. 20, No. 12. P. 3843-3867. DOI: http://dx.doi.org/10.3934/jimo.2024073

Yu F. Multiperiod distributionally robust portfolio selection with regime-switching under CVaR risk measures. AIMS Mathematics. 2025. Vol. 10, No. 4. P. 9974-10001. DOI: http://dx.doi.org/10.3934/math.2025456

Zahedirad M., Khalili-Damghani K., Ghezavati V., Rashidi Komijan A. A multi-objective multi-period mathematical programming model for integrated project portfolio optimization and contractor selection. MethodsX. 2025. Vol. 15. Art. 103522. DOI: http://dx.doi.org/10.1016/j.mex.2025.103522

Zhang J., Li H., Zhao H. The Impact of Digital Transformation on Organizational Resilience: The Role of Innovation Capability and Agile Response. Systems. 2025. Vol. 13. No. 2. Art. 75. DOI: http://dx.doi.org/10.3390/systems13020075

Zhou Y., Xu L. A new distributionally robust reward-risk model for portfolio optimization. Open Mathematics. 2024. Vol. 22, No. 1. Art. 20240010. DOI: https://doi.org/10.1515/math-2024-0010

Yeromin M. V. (2025) Adaptyvne pryiniattia upravlinskykh rishen v umovakh tsyfrovoi transformatsii [Adaptive management decision-making in the conditions of digital transformation]. Kyivskyi ekonomichnyi naukovyi zhurnal - Kyiv Economic Scientific Journal, no. 10, pp. 56–62. DOI: https://doi.org/10.32782/2786-765X/2025-10-8 (in Ukrainian)

Zavrazhnyi K. Yu., Kulyk A. K. (2024) Analiz modeli diialnosti kompanii yak osnova dlia uspishnoi tsyfrovoi transformatsii ta staloho rozvytku [Analysis of the company’s business model as a basis for successful digital transformation and sustainable development]. Naukovyi visnyk Poltavskoho universytetu ekonomiky i torhivli. Seriia “Ekonomichni nauky” - Scientific Bulletin of Poltava University of Economics and Trade. Series “Economic Sciences”, no. 1(111), pp. 12–18. DOI: https://doi.org/10.37734/2409-6873-2024-1-2 (in Ukrainian)

Kryshtal H. O. (2026) Ekonomiko-matematychne modeliuvannia vplyvu tsyfrovizatsii na produktyvnist pidpryiemstv v umovakh transformatsiinoi ekonomiky [Economic and mathematical modelling of the impact of digitalization on enterprise productivity in a transformational economy]. Ukrainskyi ekonomichnyi chasopys - Ukrainian Economic Journal, no. 13, pp. 115–119. DOI: https://doi.org/10.32782/2786-8273/2026-13-17 (in Ukrainian)

Protsak K. V., Teterin O. A., Datsiuk A. M. (2025) Tsyfrova transformatsiia yak instrument pidvyshchennia adaptyvnosti biznesu do sotsialnykh i tekhnolohichnykh zmin [Digital transformation as a tool for increasing business adaptability to social and technological changes]. Ekonomichnyi prostir - Economic Space, no. 207, pp. 57–63. DOI: https://doi.org/10.30838/EP.207.57-63 (in Ukrainian)

Khakhaliev D. O. (2025) Formuvannia adaptyvnoi stratehii upravlinnia pidpryiemstvom v umovakh tsyfrovoi transformatsii [Formation of an adaptive enterprise management strategy in the conditions of digital transformation]. Enerhozberezhennia. Enerhetyka. Enerhoaudyt - Energy Saving. Power Engineering. Energy Audit, no. 6(209), pp. 119–128. DOI: https://doi.org/10.20998/2313-8890.2025.06.09 (in Ukrainian)

Yurchenko O. (2025) Determinanty tsyfrovoi transformatsii malykh ta serednikh pidpryiemstv [Determinants of digital transformation of small and medium-sized enterprises]. Ekonomika ta suspilstvo - Economy and Society, no. 71. DOI: https://doi.org/10.32782/2524-0072/2025-71-169 (in Ukrainian)

Cui L., Chen R., Gai S., Chen L., Wu L. (2026) Digital transformation and organizational resilience: A resource orchestration perspective on R&D investment intensity. Journal of Business Research, vol. 215, art. 116306. DOI: https://doi.org/10.1016/j.jbusres.2026.116306

Makedon V., Myachin V., Kuriacha N., Chaika Yu., Koptilyi D. (2025) Development of strategic management of a corporation through the implementation of scenario analysis. Scientific Bulletin of Mukachevo State University. Series “Economics”, vol. 12, no. 2, pp. 135–146. DOI: https://doi.org/10.52566/msu-econ2.2025.135

Makedon V., Myachin V., Aloshyna T., Cherniavska I., Karavan N. (2025) Improving the readiness of enterprises to develop sustainable innovation strategies through fuzzy logic models. Economic Studies (Ikonomicheski Izsledvania), vol. 34, no. 5, pp. 165–179. Available at: https://archive.econ-studies.iki.bas.bg/2025/2025_05/2025_05_09.pdf

Nielsen M. K., Jacobsen A. M. S. Ø., Carstensen J. L., Nielsen M. T., Tambo T. (2024) Industrial R&D project portfolio selection method using a multi-objective optimization program: A conceptual quantitative framework. Journal of Industrial Engineering and Management, vol. 17, no. 1. DOI: https://doi.org/10.3926/jiem.6552

Pishvaei M., Ashrafi M., Haghighi M. H. (2025) Developing a resilient project portfolio optimization model: A tool for an automotive part manufacturer against uncertainties. Journal of the Operational Research Society, vol. 76, no. 11, pp. 2359–2376. DOI: https://doi.org/10.1080/01605682.2025.2468790

Wang Z., Bai S., Zhang X. (2024) A robust optimization model for R&D project portfolio risk response decision-making considering risk interaction and regret perception. Journal of Industrial and Management Optimization, vol. 20, no. 12, pp. 3843–3867. DOI: https://doi.org/10.3934/jimo.2024073

Yu F. (2025) Multiperiod distributionally robust portfolio selection with regime-switching under CVaR risk measures. AIMS Mathematics, vol. 10, no. 4, pp. 9974–10001. DOI: https://doi.org/10.3934/math.2025456

Zahedirad M., Khalili-Damghani K., Ghezavati V., Rashidi Komijan A. (2025) A multi-objective multi-period mathematical programming model for integrated project portfolio optimization and contractor selection. MethodsX, vol. 15, art. 103522. DOI: https://doi.org/10.1016/j.mex.2025.103522

Zhang J., Li H., Zhao H. (2025) The impact of digital transformation on organizational resilience: The role of innovation capability and agile response. Systems, vol. 13, no. 2, art. 75. DOI: https://doi.org/10.3390/systems13020075

Zhou Y., Xu L. (2024) A new distributionally robust reward-risk model for portfolio optimization. Open Mathematics, vol. 22, no. 1, art. 20240010. DOI: https://doi.org/10.1515/math-2024-0010

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.