A Primal-Dual Exterior Point Algorithm for Linear Programming Problems
Nikolaos Samaras, Angelo Sifaleras, Charalampos Triantafyllidis (2009)
The Yugoslav Journal of Operations Research
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Nikolaos Samaras, Angelo Sifaleras, Charalampos Triantafyllidis (2009)
The Yugoslav Journal of Operations Research
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Nebojša V. Stojković (2001)
The Yugoslav Journal of Operations Research
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Konstantinos Dosios, Konstantinos Paparrizos (1994)
The Yugoslav Journal of Operations Research
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Moncef Abbas, Djamal Chaabane (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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In the present paper a complete procedure for solving Multiple Objective Integer Linear Programming Problems is presented. The algorithm can be regarded as a corrected form and an alternative to the method that was proposed by Gupta and Malhotra. A numerical illustration is given to show that this latter can miss some efficient solutions. Whereas, the algorithm stated bellow determines all efficient solutions without missing any one.
S. Zieliński (1977)
Applicationes Mathematicae
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T. Divnić, Lj. Pavlović (2012)
The Yugoslav Journal of Operations Research
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Ritu Narang, S.R. Arora (2009)
The Yugoslav Journal of Operations Research
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Paul Feautrier (1988)
RAIRO - Operations Research - Recherche Opérationnelle
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Z. Cylkowski, J. Kucharczyk (1969)
Applicationes Mathematicae
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M. Sysło (1971)
Applicationes Mathematicae
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Kybernetika
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José Luis Quintero, Alejandro Crema (2005)
RAIRO - Operations Research - Recherche Opérationnelle
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The multiparametric min max 0-1-Integer Programming (0-1-IP) problem relative to the objective function is a family of min max 0-1-IP problems which are related by having identical constraint matrix and right-hand-side vector. In this paper we present an algorithm to perform a complete multiparametric analysis relative to the objective function.
José Luis Quintero, Alejandro Crema (2009)
RAIRO - Operations Research
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The multiparametric 0-1-Integer Programming (0-1-IP) problem relative to the objective function is a family of 0-1-IP problems which are related by having identical constraint matrix and right-hand-side vector. In this paper we present an algorithm to perform a complete multiparametric analysis relative to a generalized min max objective function such that the min sum and min max are particular cases.