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An algorithm for multiparametric 0-1-Integer Programming problemsrelative to a generalized min max objective function

Published online by Cambridge University Press:  28 January 2009

José Luis Quintero  and
Alejandro Crema
José Luis Quintero
Affiliation:
Departamento de Matemáticas Aplicadas, Facultad de Ingeniería, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; quinterojl@tutopia.com
Alejandro Crema
Affiliation:
Escuela de Computación, Facultad de Ciencias, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; acrema@kuaimare.ciens.ucv.ve
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Abstract

The multiparametric 0-1-Integer Programming (0-1-IP)problem relative to the objective function is a family of 0-1-IP problemswhich are relatedby havingidentical constraint matrix and right-hand-sidevector. In this paper we present an algorithm to perform a completemultiparametric analysis relative to a generalized min max objectivefunction such that the min sum and min max are particular cases.

Keywords

0-1-Integer Programmingmultiparametric programmingBottleneck problem.
Type
Research Article
Information
RAIRO - Operations Research , Volume 43 , Issue 1 , January 2009 , pp. 1 - 12
Copyright
© EDP Sciences, ROADEF, SMAI, 2009

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