### Abstract

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 21 |

Volume | 2007-44 |

Publication status | Published - 2007 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2007-44 |

### Fingerprint

### Keywords

- quadratic assignment problem
- semidefinite programming
- group sym- metry

### Cite this

*Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem*. (CentER Discussion Paper; Vol. 2007-44). Tilburg: Operations research.

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**Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem.** / de Klerk, E.; Sotirov, R.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem

AU - de Klerk, E.

AU - Sotirov, R.

N1 - Subsequently published in Mathematical Programming, 2010 Pagination: 21

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - quadratic assignment problem

KW - semidefinite programming

KW - group sym- metry

M3 - Discussion paper

VL - 2007-44

T3 - CentER Discussion Paper

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

PB - Operations research

CY - Tilburg

ER -