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Mechanisms for Linear Programs

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Listed:
  • Frank W. Sinden

    (Bell Telephone Laboratories, Incorporated, Murray Hill, New Jersey)

Abstract

Linear programs can be represented by simple mechanisms compounded of strings and rods. In schematic form these are useful because they render many of the facts about linear programs, especially those related to duality, immediately evident. It is shown, for example, that the Dantzig-Ford-Fulkerson primal-dual algorithm has a particularly simple interpretation in terms of a mechanism. Some of the mechanisms lend themselves well to physical realization. A small, homemade model of one for the transportation problem is described in the last section.

Suggested Citation

  • Frank W. Sinden, 1959. "Mechanisms for Linear Programs," Operations Research, INFORMS, vol. 7(6), pages 728-739, December.
    • Handle: RePEc:inm:oropre:v:7:y:1959:i:6:p:728-739
    DOI: 10.1287/opre.7.6.728
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