Combinatorial instruments in the design of a heuristic for the quadratic assignment problem

This work discusses the use of a neighbouring structure in the design of specific heuristics for the Quadratic Assignment Problem (QAP). This structure is formed by the 4- and 6-cycles adjacent to a vertex in the Hasse diagram of the permutation lattice and it can be adequately partitioned in subsets of linear and quadratic cardinalities, a characteristics which frequently allows an economy in the processing time. We propose also a restart strategy and a mechanism for generating initial solutions which constitute, together with the neighbouring structure, a possible QAP-specific heuristic proposal. For the construction of these instruments we used the relaxed ordered set of QAP solutions.

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Bibliographic Details
Main Author: Boaventura-Netto,Paulo Oswaldo
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2003
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382003000300001
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