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Optimizing constant pricing and inventory decisions for a periodic review system with batch ordering

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  • Ying Wei

    (School of Management, Jinan University)

Abstract

In business practice the misalignment between frequent inventory adjustments and a sticky price is common. Motivated by Pipi Milk, a diary manufacturer who commits its customer at a fixed price for a whole year meanwhile weekly replenishes its cheese product stock at a specific batch size, this paper develops an integrated constant pricing and inventory control model in a periodic-review system with batch order consideration. For such a system, our focus is on an (nQ, r)-p policy: the price p is determined and committed at the beginning of the planning horizon; inventories are managed based on an (nQ, r) policy with reorder level r and order quantities at non-negative integer multiples of batch size Q. With a fixed ordering cost included, we develop an efficient algorithm to compute the optimal policy parameters with the purpose to maximize the expected long-run average profit. We also numerically investigate the policy performance and verify its advantages by comparing to a sequential optimization of price and inventory decisions. Finally, managerial insights are generated.

Suggested Citation

  • Ying Wei, 2020. "Optimizing constant pricing and inventory decisions for a periodic review system with batch ordering," Annals of Operations Research, Springer, vol. 291(1), pages 939-957, August.
    • Handle: RePEc:spr:annopr:v:291:y:2020:i:1:d:10.1007_s10479-018-3057-y
    DOI: 10.1007/s10479-018-3057-y
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