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On Aggregation of Items in Single-Stage Production Systems with Limited Inventory Levels

Krzysztof Pieńkosz, Eugeniusz Toczyłowski

Operations Research · 1993 · Volume 41 · Issue 2

DOI: 10.1287/opre.41.2.419

Abstract

The paper considers the aggregation of similar products in the lot size scheduling problems for single-stage systems with limited upper bounds on inventory levels. The necessary and sufficient conditions of consistent aggregation, which guarantee that the optimal aggregate solution can be disaggregated into an optimal solution of the original problem, are presented.

Keywords

inventory/production: a single-stage lot size model, production/scheduling: feasibility of aggregate production plans

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