Exact Computation of Optimal Inventory Policies Over an Unbounded Horizon

Refael Hassin · Nimrod Megiddo

22 citations0/0 files storedMathematics of Operations Research

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Supply Chain and Inventory Management Scheduling and Optimization Algorithms Optimization and Search Problems

Abstract

An inventory scheduling model with forbidden time intervals is analyzed. The objective is to minimize the long-term average cost per time unit. Unlike most of the literature on inventory theory, no restrictive assumptions are made a priori about the nature of optimal solutions. Rather it is proved that optimal policies exist, and that some of them are cyclic with cycles of a particular structure. It is then shown that such optimal policies can be computed and an algorithm is given.

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1986A 98%-Effective Lot-Sizing Rule for a Multi-Product, Multi-Stage Production / Inventory System

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2005Duality and Existence of Optimal Policies in Generalized Joint Replenishment 2016Optimality of ( s , S ) policies in EOQ models with general cost structures

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