Construction of adaptive inventory management models for a trading enterprise under unstable conditions

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.336050

Keywords:

random demand, changes in operating activity characteristics, inventory replenishment, operating effect

Abstract

This study’s object is the inventory management processes at a retail enterprise under conditions of random fluctuations in demand. The findings are aimed at solving the task related to the complexity in determining the optimal volumes of goods purchases under unstable conditions. As alternatives, it is proposed to consider two policies for replenishing stocks – the policy of a minimum stock of goods and the policy of a permanent reserve stock taking into account the possibility of transferring unsatisfied demand.

Each policy is estimated by the value of the expected operating effect, which takes into account the income from the sale of goods and losses from the storage of unsold goods or from unsatisfied demand. The hypothesis put forward assumes that the value of the expected operating effect of each policy could be calculated depending on parameters for the law of the probability distribution of demand volumes and on the economic characteristics of the situation.

A model of dependence of the expected operating effect on the volumes of purchases and the parameters of the normal probability distribution functions of demand has been built. Mathematical expressions for the expected operating effect for the two policies under analysis have been derived. A comparative analysis of the effectiveness of these policies was conducted, which made it possible to identify the zones of values of the indicators of the choice situation for which a certain policy is the best. Under certain conditions, the expected operational effect for an arbitrarily chosen policy could reach only 70% of the operational effect corresponding to the best policy. This proves the ability of adaptive management to improve the operational effect as well as its economic efficiency

Author Biographies

Viktor Zaruba, National Technical University "Kharkіv Polytechnic Institute"

Doctor of Economic Sciences, Professor

Department of Marketing

Liudmyla Potrashkova, Simon Kuznets Kharkiv National University of Economics

Doctor of Economic Sciences, Associate Professor

Department of Multimedia Systems and Technology

Oleksii Khoroshevskyi, Kharkiv National University of Radio Electronics

PhD, Senior Lecturer

Department of Media Systems and Technologies

Taras Chmeruk, National Technical University "Kharkіv Polytechnic Institute"

PhD Student

Department of Marketing

References

  1. Retail trade volume index overview. Eurostat. Available at: https://ec.europa.eu/eurostat/statistics-explained/index.php?title=Retail_trade_volume_index_overview
  2. Share of value added to the gross domestic product of the United States in 2024, by industry. Statista. Available at: https://www.statista.com/statistics/248004/percentage-added-to-the-us-gdp-by-industry/
  3. Vyrobnytstvo ta rozpodil valovoho vnutrishnoho produktu za vydamy ekonomichnoi diyalnosti. Derzhavna sluzhba Ukrainy. Available at: https://www.ukrstat.gov.ua/operativ/operativ2008/vvp/vvp_ric/arh_vtr_u.htm
  4. Ziukov, S. (2015). A literature review on models of inventory management under uncertainty. Business Systems & Economics, 5 (1), 26. https://doi.org/10.13165/vse-15-5-1-03
  5. San-José, L. A., Sicilia, J., González-de-la-Rosa, M., Febles-Acosta, J. (2021). Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle. Annals of Operations Research, 316 (2), 763–783. https://doi.org/10.1007/s10479-021-04161-6
  6. Pando, V., San-José, L. A., Sicilia, J., Alcaide-López-de-Pablo, D. (2024). An inventory model with price- and stock-dependent demand and time- and stock quantity-dependent holding cost under profitability maximization. Computers & Operations Research, 164, 106520. https://doi.org/10.1016/j.cor.2023.106520
  7. Silver, E. A., Pyke, D. F., Thomas, D. J. (2016). Inventory and Production Management in Supply Chains. CRC Press. https://doi.org/10.1201/9781315374406
  8. Becerra, P., Mula, J., Sanchis, R. (2021). Green supply chain quantitative models for sustainable inventory management: A review. Journal of Cleaner Production, 328, 129544. https://doi.org/10.1016/j.jclepro.2021.129544
  9. Žic, J., Žic, S., Đukić, G. (2024). Quantitative Assessment of Green Inventory Management in Supply Chains: Simulation-Based Study of Economic and Environmental Outcomes Aligned with ISO 14083 Standard. Applied Sciences, 14 (20), 9507. https://doi.org/10.3390/app14209507
  10. Violi, A., Laganá, D., Paradiso, R. (2019). The inventory routing problem under uncertainty with perishable products: an application in the agri-food supply chain. Soft Computing, 24 (18), 13725–13740. https://doi.org/10.1007/s00500-019-04497-z
  11. Sun, Y., Qiu, R., Sun, M. (2024). Robust pricing and inventory decisions in ship‐from‐store omnichannel operations. Managerial and Decision Economics, 46 (1), 5–20. https://doi.org/10.1002/mde.4348
  12. Girija Bai, H., Mohamed Ismail, A., Kaviya, D., Muniappan, P. (2021). An EOQ model for deteriorating products with backorder and fixed transportation cost. Journal of Physics: Conference Series, 1770 (1), 012100. https://doi.org/10.1088/1742-6596/1770/1/012100
  13. Rahman, M. S., Das, S., Manna, A. K., Shaikh, A. A., Bhunia, A. K., Cárdenas-Barrón, L. E. et al. (2021). A Mathematical Model of the Production Inventory Problem for Mixing Liquid Considering Preservation Facility. Mathematics, 9 (24), 3166. https://doi.org/10.3390/math9243166
  14. Das, R., Barman, A., De, P. K. (2021). Integration of pricing and inventory decisions of deteriorating item in a decentralized supply chain: a Stackelberg-game approach. International Journal of System Assurance Engineering and Management, 13 (1), 479–493. https://doi.org/10.1007/s13198-021-01299-1
  15. Cárdenas-Barrón, L. E., Mandal, B., Sicilia, J., San-José, L. A., Abdul-Jalbar, B. (2021). Optimizing price, order quantity, and backordering level using a nonlinear holding cost and a power demand pattern. Computers & Operations Research, 133, 105339. https://doi.org/10.1016/j.cor.2021.105339
  16. Pervin, M., Roy, S. K., Sannyashi, P., Weber, G.-W. (2023). Sustainable inventory model with environmental impact for non-instantaneous deteriorating items with composite demand. RAIRO - Operations Research, 57 (1), 237–261. https://doi.org/10.1051/ro/2023005
  17. Hariom, Sharma, K. C., Singh, K., Singh, D. (2024). Analysis of an inventory model for time-dependent linear demand rate three levels of production with shortage. International Journal of Professional Business Review, 9 (4), e04579. https://doi.org/10.26668/businessreview/2024.v9i4.4579
  18. Zaruba, V. Ya. (2017). Optimization of production plans according to estimates of the probability of future orders. Marketynh i menedzhment innovatsiy, 2, 222–232. Available at: https://mmi.sumdu.edu.ua/wp-content/uploads/mmi/volume-8-issue-2/mmi2017_2_222_232.pdf
  19. Zaruba, V., Parfentenko, I. (2020). Risk Management Models in Operative Planning at an Industrial Enterprise. 2020 IEEE International Conference on Problems of Infocommunications. Science and Technology (PIC S&T), 33–38. https://doi.org/10.1109/picst51311.2020.9467954
  20. Potrashkova, L., Zaruba, V., Guryanova, L., Sokol, K., Kuksa, I. (2022). Analysis of the policy of operation activity of an enterprise with product reservation. Eastern-European Journal of Enterprise Technologies, 1 (3 (115)), 31–42. https://doi.org/10.15587/1729-4061.2022.252667
Construction of adaptive inventory management models for a trading enterprise under unstable conditions

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Published

2025-08-30

How to Cite

Zaruba, V., Potrashkova, L., Khoroshevskyi, O., & Chmeruk, T. (2025). Construction of adaptive inventory management models for a trading enterprise under unstable conditions. Eastern-European Journal of Enterprise Technologies, 4(4 (136), 6–18. https://doi.org/10.15587/1729-4061.2025.336050

Issue

Vol. 4 No. 4 (136) (2025): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2025 Viktor Zaruba, Liudmyla Potrashkova, Oleksii Khoroshevskyi, Taras Chmeruk

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