Quadratic Assignment Polytopes

  • Manfred Padberg
  • Minendra P. Rijal
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 3)

Abstract

In this chapter we present various results and partial results on the facial structure of the quadratic assignment polytope QAP n and its symmetric relative, the polytope SQP n . We address primarily the questions of finding the affine hull and the dimension of the respective polytopes, but give also some valid inequalities for QAP n . Some of these problems are left open and suggested in the form of conjectures for future work on this difficult, but interesting class of combinatorial optimization problems.

Keywords

Hull 

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Manfred Padberg
    • 1
  • Minendra P. Rijal
    • 1
    • 2
  1. 1.New York UniversityNew YorkUSA
  2. 2.Tribhuvan UniversityKathmanduNepal

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