Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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QUASI-CONVEX DUALITY FOR A MIXED 0-1 VARIABLE PROBLEM AND APPLICATIONS IN PRODUCTION PLANNING WITH SET UP COSTS

P. T. THACH

pp. 245-256

Abstract

One of the intractable nonlinear structures comes from the 0-1 variables that formulate, for instance, the discontinuity of set up costs. In this article we consider a mixed 0-1 variable problem that occurs in production planning. By quasi-convex duality we can solve efficiently the problem by linear programs.