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Inventory replenishment planning with a full truckload cost and a full return policy

Abstract : This paper addresses the single-item uncapacitated lot sizing problem with batch ordering under the buyback contract between a retailer and a supplier. The form of this type of contract consists in returning all the unused products at the end of every w periods (with w ≥ 1) to the supplier. This problem is studied with only full batches (OFB), which means that the procurement in each period is restricted to a multiple of a constant batch size, where each demand is satisfied without backlogging and all cost parameters are time-dependent. In this extension, we consider a stepwise discontinuous procurement cost structure due to the fixed cost per batch replenished, incurred by the retailer, in addition to the classical lot sizing costs. Several properties of the optimal solution are proposed to develop an efficient dynamic programming algorithm performed in time complexity O(Tw)
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https://hal.univ-lorraine.fr/hal-03219905
Contributor : Nathalie Sauer <>
Submitted on : Thursday, May 6, 2021 - 6:06:39 PM
Last modification on : Thursday, June 10, 2021 - 9:40:50 PM

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Mlouka Farhat, Ayse Akbalik, Nathalie Sauer, Atidel Hadj-Alouane. Inventory replenishment planning with a full truckload cost and a full return policy. 16th IFAC Symposium on Information Control Problems in Manufacturing (INCOM 2018), Jun 2018, Bergamo, France. pp.259-263, ⟨10.1016/j.ifacol.2018.08.286⟩. ⟨hal-03219905⟩

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