Exploiting Fitness Distance Correlation of Set Covering Problems

UPF Economics and Business Working Paper No. 582

Posted: 13 Oct 2002

See all articles by Markus Finger

Markus Finger

Technical University Darmstadt

Thomas Stutzle

Technical University of Darmstadt

Helena Ramalhinho Dias Lourenço

Universitat Pompeu

Abstract

The set covering problem is an NP-hard combinatorial optimization problem that arises in applications ranging from crew scheduling in airlines to driver scheduling in public mass transport. In this paper we analyze search space characteristics of a widely used set of benchmark instances through an analysis of the fitness-distance correlation. This analysis shows that there exist several classes of set covering instances that have a largely different behavior. For instances with high fitness distance correlation, we propose new ways of generating core problems and analyze the performance of algorithms exploiting these core problems.

Keywords: Set covering, iterated local search

JEL Classification: C61, C63, D83

Suggested Citation

Finger, Markus and Stutzle, Thomas and Ramalhinho Dias Lourenço, Helena, Exploiting Fitness Distance Correlation of Set Covering Problems. UPF Economics and Business Working Paper No. 582, Available at SSRN: https://ssrn.com/abstract=311520

Markus Finger

Technical University Darmstadt

Universitaets- und Landesbibliothek Darmstadt
Magdalenenstrasse 8
D-64289 Darmstadt, Hesse
Germany

Thomas Stutzle

Technical University of Darmstadt ( email )

Universitaets- und Landesbibliothek Darmstadt
Magdalenenstrasse 8
D-64289 Darmstadt, Hesse
Germany

Helena Ramalhinho Dias Lourenço (Contact Author)

Universitat Pompeu ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
+34 93 542 27 53 (Phone)
+34 93 542 17 46 (Fax)

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