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On an Industrial Programming Problem of Kantorovich

Author

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  • J. R. Isbell

    (Logistics Research Project, The George Washington University)

  • W. H. Marlow

    (Logistics Research Project, The George Washington University)

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.

Suggested Citation

  • J. R. Isbell & W. H. Marlow, 1961. "On an Industrial Programming Problem of Kantorovich," Management Science, INFORMS, vol. 8(1), pages 13-17, October.
    • Handle: RePEc:inm:ormnsc:v:8:y:1961:i:1:p:13-17
    DOI: 10.1287/mnsc.8.1.13
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