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Column generation in the integral simplex method

  • Rönnberg, Elina
  • Larsson, Torbjörn
Registered author(s):

    The integral simplex method for set partitioning problems allows only pivots-on-one to be made, which results in a primal all-integer method. In this technical note we outline how to tailor the column generation principle to this method. Because of the restriction to pivots-on-one, only local optimality can be guaranteed, and to ensure global optimality we consider the use of implicit enumeration.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4PVPVPN-1/2/93d5ce099e33db37972bc5f133ab19f9
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 1 (January)
    Pages: 333-342

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:333-342
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Sastry Trilochan, . "One and Two Facility Network Design Revisited," IIMA Working Papers WP1998-08-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
    2. Karla L. Hoffman & Manfred Padberg, 1993. "Solving Airline Crew Scheduling Problems by Branch-and-Cut," Management Science, INFORMS, vol. 39(6), pages 657-682, June.
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