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Displaying similar documents to “The method of bilinear programming for nonconvex quadratic programming”

An algorithm for multiparametric min max 0-1-integer programming problems relative to the objective function

José Luis Quintero, Alejandro Crema (2006)

RAIRO - Operations Research

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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.

Integer Programming Formulation of the Bilevel Knapsack Problem

R. Mansi, S. Hanafi, L. Brotcorne (2010)

Mathematical Modelling of Natural Phenomena

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The Bilevel Knapsack Problem (BKP) is a hierarchical optimization problem in which the feasible set is determined by the set of optimal solutions of parametric Knapsack Problem. In this paper, we propose two stages exact method for solving the BKP. In the first stage, a dynamic programming algorithm is used to compute the set of reactions of the follower. The second stage consists in solving an integer program reformulation of BKP. We show that ...

An Algorithm For Solving Multiple Objective Integer Linear Programming Problem

Moncef Abbas, Djamal Chaabane (2010)

RAIRO - Operations Research

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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.