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Column/constraint generation for quadratic assignment problems

  • Combinatorial Optimization
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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 113))

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Abstract

A method using column/constraint generation techniques for solving the quadratic assignment problem (QAP) is described. First, we study the Kaufman-Broeckx linearization of QAP and next, show that the generated cuts have the same structure as the linearization constraints. We also describe an optimal solution to the separation problem. Finally, we discuss different methods for obtaining tighter equivalent formulations of the QAP.

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Masao Iri Keiji Yajima

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© 1988 International Federation for Information Processing

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Holm, S., Walukiewicz, S. (1988). Column/constraint generation for quadratic assignment problems. In: Iri, M., Yajima, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042797

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  • DOI: https://doi.org/10.1007/BFb0042797

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19238-1

  • Online ISBN: 978-3-540-39164-7

  • eBook Packages: Springer Book Archive

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