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Original Articles

A NEW APPROACH TO NONLINEAR MIXED DISCRETE PROGRAMMING PROBLEMS

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Pages 249-262 | Received 15 Nov 1996, Published online: 27 Apr 2007
 

Abstract

In this paper a novel method is developed for the numerical solution of a non-linear mixed discrete programming problem. The problem is first transformed into another mixed zero-one discrete optimization problem by replacing each of the discrete variables by a set of new variables with a linear constraint. Each of the new discrete variable sets is then made continuous on [0,1] by introducing a quadratic constraints. Thus the original mixed discrete problem is transformed into a continuous nonlinear optimization problem with constraints. The numerical experiments, performed to demonstrate the effectiveness of the method, show that the method is superior to the previous ones.

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