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Deterministic Production Planning with Concave Costs and Capacity Constraints

Michael Florian and Morton Klein
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Michael Florian: University of Montreal
Morton Klein: Columbia University

Management Science, 1971, vol. 18, issue 1, 12-20

Abstract: A multi-period single commodity production planning problem is studied in which known requirements have to be satisfied. The model differs from earlier well-known studies involving concave cost functions in the introduction of production capacity constraints. The structure of an optimal solution is characterized and then used in a simple dynamic programming algorithm for problems in which the capacities are the same in every period. Both the nonbacklog and backlog allowed cases are considered.

Date: 1971
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