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An efficient optimal solution method for the joint replenishment problem

โœ Scribed by R.E. Wildeman; J.B.G. Frenk; R. Dekker


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
864 KB
Volume
99
Category
Article
ISSN
0377-2217

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โœฆ Synopsis


During the last two decades, many heuristic procedures for the joint replenishment problem have appeared in the literature. The only available optimal solution procedure was based on an enumerative approach and was computationally prohibitive. In this paper we present an alternative optimal approach based on global optimisation theory. By applying Lipschitz optimisation one can find a solution with an arbitrarily small deviation from an optimal value. An efficient procedure is presented which uses a dynamic Lipschitz constant and generates a solution in little time. The running time of this procedure grows only linearly in the number of items.


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