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General forms of the quadratic assignment problem

Author

Listed:
  • Salih O. Duffuaa
  • Chawki A. Fedjki

Abstract

In this paper, a general model has been formulated for facility location. The proposed model allows for locating several facilities in a single location, and as such, it is therefore a generalisation of the well-known quadratic assignment problem (QAP) and other variants. The general model has a wide range of applications in facility location, operations research and business. A branch-and-bound algorithm is developed for the generalised quadratic semi-assignment problem (GQSAP), which is a special form of the general model. The branch-and-bound algorithm is based on a modified version of the well-known Gilmore bound. Computational results are presented to corroborate the theoretical model developed here.

Suggested Citation

  • Salih O. Duffuaa & Chawki A. Fedjki, 2012. "General forms of the quadratic assignment problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 13(2), pages 185-199.
    • Handle: RePEc:ids:ijores:v:13:y:2012:i:2:p:185-199
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