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Coordinating Inventory and Pricing Decisions with General Price‐Dependent Demands

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  • Xiaobei Shen
  • Lina Bao
  • Yimin Yu

Abstract

We consider a periodic review, joint inventory and pricing control problem for a firm that faces general random price‐dependent demands. Any unsatisfied demand can be either backordered or lost immediately. The objective is to maximize the expected profit over a finite selling horizon by coordinating the inventory and pricing decisions in each period. For both the backorder model and the lost sales model, we derive some quite general sufficient conditions to ensure the optimality of a base‐stock list price (BSLP) policy based on the strict monotonicity of demand functions in the realizations of random noises. We are among the first to utilize the strict monotonicity of demand functions in the realizations of random noises for deriving the sufficient conditions. We derive the sufficient conditions in both the backorder model and the lost‐sales model by utilizing the new concept of upper‐set and lower‐set decreasing properties (USDP/LSDP), which is a generalized version of the first‐order stochastic dominance. This study reveals that the optimality of a BSLP policy is robust to more general business environments than what we previously thought. Finally, we also apply the USDP/LSDP in other inventory management problems.

Suggested Citation

  • Xiaobei Shen & Lina Bao & Yimin Yu, 2018. "Coordinating Inventory and Pricing Decisions with General Price‐Dependent Demands," Production and Operations Management, Production and Operations Management Society, vol. 27(7), pages 1355-1367, July.
    • Handle: RePEc:bla:popmgt:v:27:y:2018:i:7:p:1355-1367
    DOI: 10.1111/poms.12878
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    Cited by:

    1. Wang, Qiang & Zhao, Nenggui & Wu, Jie & Zhu, Qingyuan, 2021. "Optimal pricing and inventory policies with reference price effect and loss-Averse customers," Omega, Elsevier, vol. 99(C).
    2. Gupta, Vishal Kumar & Ting, Q.U. & Tiwari, Manoj Kumar, 2019. "Multi-period price optimization problem for omnichannel retailers accounting for customer heterogeneity," International Journal of Production Economics, Elsevier, vol. 212(C), pages 155-167.
    3. Sarkar, Biswajit & Seok, Hyesung & Jana, Tapas Kumar & Dey, Bikash Koli, 2023. "Is the system reliability profitable for retailing and consumer service of a dynamical system under cross-price elasticity of demand?," Journal of Retailing and Consumer Services, Elsevier, vol. 75(C).
    4. Hamdouch, Younes & Ghoudi, Kilani, 2020. "A Supply Chain Equilibrium Model with General Price-Dependent Demand," Operations Research Perspectives, Elsevier, vol. 7(C).
    5. Xiting Gong & Youhua (Frank) Chen & Quan Yuan, 2022. "Coordinating Inventory and Pricing Decisions Under Total Minimum Commitment Contracts," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 511-528, February.
    6. Ba, Luyao & Xie, Yangyang & Ma, Lijun, 2023. "Finite-horizon joint inventory-pricing optimization with non-concave demand and lost sales," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 172(C).
    7. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.

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