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Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem

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Author Info
Klerk, E. de
Sotirov, R. (Tilburg University, Center for Economic Research)

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Abstract

We consider semidefinite programming relaxations of the quadratic assignment problem, and show how to exploit group symmetry in the problem data. Thus we are able to compute the best known lower bounds for several instances of quadratic assignment problems from the problem library: [R.E. Burkard, S.E. Karisch, F. Rendl. QAPLIB ? a quadratic assignment problem library. Journal on Global Optimization, 10: 291?403, 1997]. AMS classification: 90C22, 20Cxx, 70-08.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-44.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200744

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C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Ivanov, I.D. & Klerk, E. de, 2007. "Parallel Implementation of a Semidefinite Programming Solver based on CSDP in a distributed memory cluster," Discussion Paper 2007-20, Tilburg University, Center for Economic Research. [Downloadable!]
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  1. Klerk, E. de & Pasechnik, D.V. & Sotirov, R., 2007. "On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96)," Discussion Paper 2007-101, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Klerk, E. de & Pasechnik, D.V. & Sotirov, R., 2008. "On Semidefinite Programming Relaxations of the Traveling Salesman Problem (revision of DP 2007-101)," Discussion Paper 2008-96, Tilburg University, Center for Economic Research. [Downloadable!]
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