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On the Caterer Problem

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  • William Prager

    (Brown University)

Abstract

In the present paper, the Caterer Problem is shown to be equivalent to a Hitchcock Distribution Problem [Hitchcock, F. L. 1941. The distribution of a product from several sources to numerous locations. J. Math. Phys. 20 224-230.] with a very special cost matrix. For the case q=p-1, a simple procedure taking advantage of this fact is developed and shown to yield Jacobs' solution. The possible extension of the procedure to the case p-q>1 is illustrated by a numerical example.

Suggested Citation

  • William Prager, 1956. "On the Caterer Problem," Management Science, INFORMS, vol. 3(1), pages 15-23, October.
    • Handle: RePEc:inm:ormnsc:v:3:y:1956:i:1:p:15-23
    DOI: 10.1287/mnsc.3.1.15
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    Cited by:

    1. Levner, Eugene & Perlman, Yael & Cheng, T.C.E. & Levner, Ilya, 2011. "A network approach to modeling the multi-echelon spare-part inventory system with backorders and interval-valued demand," International Journal of Production Economics, Elsevier, vol. 132(1), pages 43-51, July.

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