Classes of quadratic assignment problem instances: isomorphism and difficulty measure using a statistical approach

In this work, we introduce the variance expression for quadratic assignment problem (QAP) costs. We also define classes of QAP instances, described by a common linear relaxation form. The use of the variance in these classes leads to the study of isomorphism and allows for a definition of a new diff...

Full description

Saved in:
Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 124; no. 1; pp. 103 - 116
Main Authors Maia de Abreu, Nair Maria, Netto, Paulo Oswaldo Boaventura, Querido, Tania Maia, Gouvea, Elizabeth Ferreira
Format Journal Article Conference Proceeding
LanguageEnglish
Published Lausanne Elsevier B.V 15.12.2002
Amsterdam Elsevier
New York, NY
Subjects
Applied sciences
Difficulty measure
Exact sciences and technology
Flows in networks. Combinatorial problems
Operational research and scientific management
Operational research. Management science
Quadratic assignment problem
Variance
Difficulty measure
Variance
Quadratic assignment problem
Assignment
Statistical method
Linear form
Combinatorial problem
Isomorphism
Quadratic assignment
Quadratic cost
Polynomial time
Online AccessGet full text

Cover

More Information
Summary:In this work, we introduce the variance expression for quadratic assignment problem (QAP) costs. We also define classes of QAP instances, described by a common linear relaxation form. The use of the variance in these classes leads to the study of isomorphism and allows for a definition of a new difficulty index for QAP instances. This index is then compared to a classical measure found in the literature.
ISSN:0166-218X
1872-6771
DOI:10.1016/S0166-218X(01)00333-X