Shortages of perishables control for a stochastic inventory system in retail through dynamic pricing with an adjustable factor | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2025. № 72. DOI: 10.17223/19988605/72/9

Shortages of perishables control for a stochastic inventory system in retail through dynamic pricing with an adjustable factor

This paper examines an inventory system of a perishable product facing compound Poisson demand with price-dependent intensity. The proposed model includes an adjustable factor that influences the intensity of demand and, consequently, the possibility of shortages. By employing diffusion approximation of the inventory level process, stochastic properties of the selling process are obtained, and the expected revenue is derived with a penalty for the shortages. Consideration of the shortages’ period allows us to expand the scope of applicability the linear approximation of a dependence of demand intensity on price. Contribution of the authors: the authors contributed equally to this article. The authors declare no conflicts of interests.

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Keywords

dynamic pricing, price sensitive demand, compound Poisson demand, adjustable factor, diffusion approximation, shortages

Authors

Name	Organization	E-mail
Kitaeva Anna V.	National Research Tomsk State University	kit1157@yandex.ru
Yu Cao	National Research Tomsk State University	ch.cy@stud.tsu.ru

Всего: 2

References

Scholz, M. & Kulko, R.D. (2022) Dynamic pricing of perishable food as a sustainable business model. British Food Journal. 124(5). pp. 1609-1621. DOI: 10.1108/BFJ-03-2021-0294.

Chen, J., Tian, Z. & Hang, W. (2020) Optimal ordering and pricing policies in managing perishable products with quality deterio ration.International Journal of Production Research. 59(3). pp. 4472-4494. DOI: 10.1080/00207543.2020.1766715.

Li, R., Xiao, L. & Yao, D. (2023) Dynamic pricing and production control in a two-item make-to-stock system with flexible dual sourcing and lost sales. Production and Operations Management. 32(7). pp. 3119-3137. DOI: 10.1111/poms.14026.

Zarouri, F., Khamseh, A.A. & Pasandideh, S.H.R. (2022) Dynamic pricing in a two-echelon stochastic supply chain for perishable products. RAIRO-Operations Research. 56(4). pp. 2425-2442. DOI: 10.1111/poms.14026.

Modak, I., Bardhan, S. & Giri, B. C. (2024) Dynamic pricing and replenishment policy under price, time, and service level-dependent demand and preservation investment. Journal of Management Analytics. 11(2). pp. 276-301. DOI: 10.1080/23270012.2024. 2306616.

Feng, Q., Luo, S. & Shanthikumar, J.G. (2019) Integrating dynamic pricing with inventory decisions under lost sales. Management Science. 66(5). pp. 2232-2247. DOI: 10.1287/mnsc.2019.3299.

Chen, K., Xiao, T., Wang, S. & Lei, D. (2020) Inventory strategies for perishable products with two-period shelf-life and lost sales.International Journal of Production Research. 59(3). pp. 1-20. DOI: 10.1080/00207543.2020.1777480.

Zhou, H., Chen, K. & Wang, S. (2023) Two-period pricing and inventory decisions of perishable products with partial lost sales. European Journal of Operational Research. 310(9). pp. 611-626. DOI: 10.1016/j.ejor.2023.03.010.

Kitaeva, A.V., Stepanova, N.V. & Zhukovskaya, A.O. (2019) Zero Ending Inventory Dynamic Pricing Model under Stochastic Demand, Fixed Lifetime Product, and Fixed Order Quantity. IFAC-PapersOnLine. 52(13). pp. 2482-2487. DOI: 10.1016/j.ifacol.2019.11.579.

Kitaeva, A.V., Stepanova, N.V. & Zhukovskaya, A.O. (2020) Profit optimization for zero ending inventories dynamic pricing model under stochastic demand and fixed lifetime product. IFAC-PapersOnLine. 53(2). pp. 10505-10510. DOI: 10.1016/j.ifacol.2020.12.2796.

Kitaeva, A.V. & Cao, Y. (2025) Shortages of perishables control for a stochastic inventory system in retail through dynamic pricing. Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaya tekhnika i informatika - Tomsk State University Journal of Control and Computer Science. 71. pp. 82-92. DOI: 10.17223/19988605/71/8.

Li, S., Zhang, J. & Tang, W. (2015) Joint dynamic pricing and inventory control policy for a stochastic inventory system with perishable products.International Journal of Production Research. 53(10). pp. 2937-2950. DOI: 10.1080/00207543.2014.961206.

Kitaeva, A.V., Stepanova, N.V. & Zhukovskiy, O.I. (2022) Profit Optimization with a Power-Law Adjustable Coefficient for Zero Ending Inventories Dynamic Pricing Model, Stochastic Demand, and Fixed Lifetime Product. IFAC-PapersOnLine. 55(10). pp. 1793-1797. DOI: 10.1016/j.ifacol.2022.09.658.