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- Title
DETERMINISTIC PRODUCTION PLANNING WITH CONCAVE COSTS AND CAPACITY CONSTRAINTS.
- Authors
Florian, Michael; Klein, Morton
- 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.
- Subjects
PRODUCTION planning; PRODUCTION control; REPETITIVE manufacturing systems; PLANT capacity; CONCAVE functions; CONSTRAINED optimization; THEORY of constraints; DYNAMIC programming; MATHEMATICAL optimization; SYSTEM analysis; INVENTORIES; OPERATIONS research
- Publication
Management Science, 1971, Vol 18, Issue 1, p12
- ISSN
0025-1909
- Publication type
Article
- DOI
10.1287/mnsc.18.1.12