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Optimal pricing in a service-inventory system with delay-sensitive customers and lost sales

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  • Jinting Wang
  • Xuelu Zhang

Abstract

We consider a single-server service-inventory system where customers arrive according to a Poisson process and the service times are independent and exponentially distributed. A customer takes exactly one item from the inventory after service if it is available, or the request is lost. A continuous review policy is adopted to replenish the inventory. Upon two different information levels, i.e. the fully unobservable case and the partially observable case, arriving customers decide whether to join or to balk the system. We investigate the customers’ individually optimal and socially optimal strategies, and further consider the optimal pricing issue that maximises the server’s revenue. Some numerical experiments are carried out to show that the individually optimal joining probability (or threshold) is not always greater than that of socially optimal one. It is observed that, to maximise the server’s revenue, concealing some system information to customers may be more profitable. Conversely, to maximise the social welfare, the customers need more system information. Finally, numerical results in the fully unobservable case illustrate a reasonable phenomenon that the revenue maximum is equal to social optimum in most cases.

Suggested Citation

  • Jinting Wang & Xuelu Zhang, 2017. "Optimal pricing in a service-inventory system with delay-sensitive customers and lost sales," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6883-6902, November.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:22:p:6883-6902
    DOI: 10.1080/00207543.2017.1363426
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    Cited by:

    1. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    2. Lin, Xiaogang & Sun, Cuiying & Cao, Bin & Zhou, Yong-Wu & Chen, Chuanying, 2021. "Should ride-sharing platforms cooperate with car-rental companies? Implications for consumer surplus and driver surplus," Omega, Elsevier, vol. 102(C).
    3. Rajib L. Saha & Sumanta Singha & Subodha Kumar, 2021. "Does Congestion Always Hurt? Managing Discount Under Congestion in a Game-Theoretic Setting," Information Systems Research, INFORMS, vol. 32(4), pages 1347-1367, December.

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