Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods

Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods

This paper reports heuristic and exact solution advances for the Quadratic Assignment Problem (QAP). QAP instances most often discussed in the literature are relatively well solved by heuristic approaches. Indeed, solutions at a fraction of one percent from the best known solution values are rapidly...

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Bibliographic Details
Published in:Annals of operations research Vol. 139; no. 1; pp. 65 - 94
Main Authors: Drezner, Zvi, Hahn, Peter M., Taillard, Éeric D.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01-10-2005
Subjects:
Airports
Algorithms
Assignment problem
Heuristic
Methods
Operations research
Optimization
Problem solving
Quadratic programming
Studies
Online Access:Get full text
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Summary:This paper reports heuristic and exact solution advances for the Quadratic Assignment Problem (QAP). QAP instances most often discussed in the literature are relatively well solved by heuristic approaches. Indeed, solutions at a fraction of one percent from the best known solution values are rapidly found by most heuristic methods. Exact methods are not able to prove optimality for these instances as soon as the problem size approaches 30 to 40. This article presents new QAP instances that are ill conditioned for many metaheuristic-based methods. However, these new instances are shown to be solved relatively well by some exact methods, since problem instances up to a size of 75 have been exactly solved. [PUBLICATION ABSTRACT]
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-005-3444-z