Production, Inventory and Capacity Expansion Scheduling with Integer Variables

R. H. Barchi, F. T. Sparrow and R. R. Vemuganti
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R. H. Barchi: United States Navy
F. T. Sparrow: United States Navy
R. R. Vemuganti: The Johns Hopkins University, Department of Operations Research

Management Science, 1975, vol. 21, issue 7, 783-793

Abstract: The combined production-inventory and capacity expansion problem is modeled as a linear, integer program. The model assumes constant returns to scale in the production function of a firm which must meet, at minimum cost, deterministic demands for a single product over N periods with no backordering. A linear transformation is used to obtain an equivalent form of the model which is then decomposed into fixed cost and variable cost parts. A global optimum is obtained by enumerating on the fixed cost variables and solving transportation sub-problems with the remaining variables. Special demand and cost structures and extensions are discussed, and computational experience presented.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:21:y:1975:i:7:p:783-793

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