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Investigação Operacional

versão impressa ISSN 0874-5161

Inv. Op. v.23 n.1 Lisboa jun. 2003

 

A genetic based algorithm for the quadratic 0-1 problem

G. Schütz *

F. M. Pires †

* Escola Superior de Tecnologia, Universidade do Algarve

gschutz@ualg.pt

† Faculdade de Ciências e Tecnologia, Universidade do Algarve

mpires@ualg.pt

Abstract

In this work we present an algorithm to the unrestricted binary quadratic program. This approach combines genetic operators with greedy and heuristic procedures. We started from a genetic based algorithm and replaced the random mutation by a greedy procedure based on each variable contribution to the objective function. We also introduced in the genetic population an individual obtained by a heuristic that finds a local star minimum point. Computational experience with a set of test-problems, known from literature, is reported and analysed. Our results are quite promising.

Keywords: Quadratic 0-1 programming, Genetic Algorithms, Hybrid Algorithms

 

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