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Single‐period inventory models with demand uncertainty and quantity discounts: Behavioral implications and a new solution procedure

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  • James V. Jucker
  • Meir J. Rosenblatt

Abstract

Quantity discounts are considered in the context of the single‐period inventory model known as “the newsboy problem.” It is argued that the behavioral implications of the all‐units discount schedule are more complex and interesting than the literature has suggested. Consideration of this behavior and the use of marginal analysis lead to a new method for solving this problem that is both conceptually simpler and more efficient than the traditional approach. This marginal‐cost solution procedure is described graphically, an algorithm is presented, and an example is used to demonstrate that this solution procedure can be extended easily to handle complex discount schedules, such as some combined (simultaneously applied) purchasing and transportation cost discount schedules.

Suggested Citation

  • James V. Jucker & Meir J. Rosenblatt, 1985. "Single‐period inventory models with demand uncertainty and quantity discounts: Behavioral implications and a new solution procedure," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(4), pages 537-550, November.
    • Handle: RePEc:wly:navlog:v:32:y:1985:i:4:p:537-550
    DOI: 10.1002/nav.3800320402
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    Citations

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    Cited by:

    1. Qinan Wang & Ruifang Wang, 2005. "Quantity discount pricing policies for heterogeneous retailers with price sensitive demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 645-658, October.
    2. Heydari, Jafar & Momeni, Behnam, 2021. "Retailers’ coalition and quantity discounts under demand uncertainty," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    3. Hu, Chaoming & Wan, Zhao Man & Zhu, Saihua & Wan, Zhong, 2022. "An integrated stochastic model and algorithm for constrained multi-item newsvendor problems by two-stage decision-making approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 280-300.
    4. Fang Yang & Yao-Huei Huang, 2021. "An optimization approach for winner determination problem considering transportation cost discounts," Journal of Global Optimization, Springer, vol. 80(3), pages 711-728, July.
    5. Wang, Huihui & Yu, Yimin & Zhang, Wei & Hua, Zhongsheng, 2019. "Procurement strategies for lost-sales inventory systems with all-units discounts," European Journal of Operational Research, Elsevier, vol. 272(2), pages 539-548.
    6. Yong Zhang & Xingyu Yang & Weiguo Zhang & Weiwei Chen, 2020. "Online ordering rules for the multi-period newsvendor problem with quantity discounts," Annals of Operations Research, Springer, vol. 288(1), pages 495-524, May.
    7. Boutselis, Petros & McNaught, Ken, 2014. "Finite-Time Horizon Logistics Decision Making Problems: Consideration of a Wider Set of Factors," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Blecker, Thorsten & Kersten, Wolfgang & Ringle, Christian M. (ed.), Innovative Methods in Logistics and Supply Chain Management: Current Issues and Emerging Practices. Proceedings of the Hamburg International Conferenc, volume 19, pages 249-274, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    8. Zhang, Guoqing & Shi, Jianmai & Chaudhry, Sohail S. & Li, Xindan, 2019. "Multi-period multi-product acquisition planning with uncertain demands and supplier quantity discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 117-140.

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