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Algoritmo guloso adaptativo e aleatório para o problema quadrático de alocação

Algoritmo guloso adaptativo e aleatório para o problema quadrático de alocação

Rangel, Maria Cristina; Abreu, Nair Maria M. de; Boaventura-Netto, Paulo Oswaldo

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Resumo

O Problema Quadrático de Alocação (PQA) pertence à classe dos problemas NP-hard. Apesar de muitos métodos heurísticos terem sido desenvolvidos visando a resolução de suas instâncias, ainda não é possível encontrar soluções ótimas para instâncias de ordem acima de 25- Uma versão do GRASP, desenvolvida por Li, Pardalos e Resende [LPR94], se mostrou bastante eficiente para o PQA, o que motivou os autores a elaborar uma proposta de modificação na sua busca local, na tentativa de diminuir o número de iterações necessário à obtenção da melhor solução conhecida.

Palavras-chave

Otimização Combinatória, Meta-heurística, Problema Quadrático de Alocação

Abstract

The Quadratic Assignment Problem (QAP) is an NP-hard problem. Despite the continuous effort in the formulation of new heuristics, optimal solutions are not generally known yet, for instances of order n > 25. A GRASP-type heuristic developed by Li, Pardalos and Resende [LPR94] showed itself to be very efficient and this fact motivated the authors to propose a perfectioning in its local search reducing the number of iterations.

Keywords

Combinatorial Optimization, Metaheuristic, Quadratic Assignment Problem

References



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