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Finding and identifying optimal inventory levels for systems with common components

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  • Nonås, Sigrid Lise

Abstract

In this article, we consider the problem of finding the optimal inventory level for components in an assembly system where multiple products share common components in the presence of random demand. Previously, solution procedures that identify the optimal inventory levels for components in a component commonality problem have been considered for two product or one common component systems. We will here extend this to a three products system considering any number of common components. The inventory problem considered is modeled as a two stage stochastic recourse problem where the first stage is to set the inventory levels to maximize expected profit while the second stage is to allocate components to products after observing demand. Our main contribution, and the main focus of this paper, is the outline of a procedure that finds the gradient for the stochastic problem, such that an optimal solution can be identified and a gradient based search method can be used to find the optimal solution.

Suggested Citation

  • Nonås, Sigrid Lise, 2009. "Finding and identifying optimal inventory levels for systems with common components," European Journal of Operational Research, Elsevier, vol. 193(1), pages 98-119, February.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:1:p:98-119
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    Cited by:

    1. Antoine Deza & Kai Huang & Hongfeng Liang & Xiao Jiao Wang, 2018. "On component commonality for periodic review assemble-to-order systems," Annals of Operations Research, Springer, vol. 265(1), pages 29-46, June.

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