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Computing Nested Reorder Intervals for Multi-Item Distribution Systems

Robin O. Roundy

Operations Research · 1990 · Volume 38 · Issue 1

DOI: 10.1287/opre.38.1.37

Abstract

We consider a multistage, multi-item distribution system in which each of a number of items is stocked at each of a number of locations. The cost of placing an order at a location depends on the set of items ordered there. Demand for the items is constant, and there is a linear holding cost for each item at each location. Only nested policies are considered. A known heuristic is guaranteed to find a policy that is within 2% of optimal. However, if there are M items and L locations the running time of the heuristic is O ( M 4 L 4 ). We improve the running time to O ( MLD log( ML )) where D is at most the maximum of the depth of the location and family arborescences.

Keywords

production/inventory: heuristics, multi-item multistage, deterministic approximations

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