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Technical Note—Solutions of a Special Class of Linear Programming Problems

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  • V. A. Sposito

    (Iowa State University, Ames, Iowa)

Abstract

Explicit solutions for linear problems of the form: maximize ( h , x ), subject to Ax ≦ b , b ∈ R ( A ), are given, as well as explicit solutions for its dual problem. This note replaces the full row rank assumption on A of earlier results of Ben-Israel and Charnes by the assumption b ∈ R ( A ). With this assumption, explicit solutions are derived for the dual problem that are different from related results of Zlobec and Ben-Israel.

Suggested Citation

  • V. A. Sposito, 1973. "Technical Note—Solutions of a Special Class of Linear Programming Problems," Operations Research, INFORMS, vol. 21(1), pages 386-388, February.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:1:p:386-388
    DOI: 10.1287/opre.21.1.386
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