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Joint pricing and lot-sizing problem with variable capacity

Abstract : This paper presents an extension to the classical capacitated lot-sizing problem. Demand for the products is price-dependent and modelized as an isoelastic function. The capacity is not considered as a parameter anymore, it becomes a decision variable for the company as the production, inventory and pricing decisions. This variable capacity leads to two variants of the problem: one with a time-dependent capacity and the other one a uniform capacity over the periods. We propose heuristic methods, which are based on Lagrangian multipliers, to solve variations of the problem. The methods provide high-quality results.
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Contributor : Jean-Baptiste VU VAN Connect in order to contact the contributor
Submitted on : Monday, January 6, 2020 - 9:43:53 AM
Last modification on : Sunday, June 26, 2022 - 1:38:02 AM

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Paulin Couzon, Yassine Ouazene, Farouk Yalaoui. Joint pricing and lot-sizing problem with variable capacity. IFAC-PapersOnLine, Elsevier, 2019, 52 (13), pp.106-111. ⟨10.1016/j.ifacol.2019.11.160⟩. ⟨hal-02428571⟩



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