On an Industrial Programming Problem of Kantorovich

J. R. Isbell and W. H. Marlow
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J. R. Isbell: Logistics Research Project, The George Washington University
W. H. Marlow: Logistics Research Project, The George Washington University

Management Science, 1961, vol. 8, issue 1, 13-17

Abstract: This paper is a presentation of a maximization problem treated by L. V. Kantorovich [Kantorovich, L. V. 1957. On methods of analysis of some extremal problems in planning production. Doklady Akademii Nauk SSSR 115 441-444. (Russian) In translation: Rand Corporation T-86 dated 15 April 1958]. The problem concerns a linear model for industrial production, but the objective is to maximize a non-linear function of the output. Specifically, a certain composition or package of final products is ordered, and the size of this output of predetermined composition is to be as large as possible.

Date: 1961
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