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

V. A. Sposito
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V. A. Sposito: Iowa State University, Ames, Iowa

Operations Research, 1973, vol. 21, issue 1, 386-388

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.

Date: 1973
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