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Column generation in the integral simplex method

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  • Rönnberg, Elina
  • Larsson, Torbjörn

Abstract

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.

Suggested Citation

  • Rönnberg, Elina & Larsson, Torbjörn, 2009. "Column generation in the integral simplex method," European Journal of Operational Research, Elsevier, vol. 192(1), pages 333-342, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:333-342
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    References listed on IDEAS

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    1. Sastry Trilochan, 1998. "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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    Cited by:

    1. repec:eee:ejores:v:263:y:2017:i:3:p:1007-1018 is not listed on IDEAS
    2. Rönnberg, Elina & Larsson, Torbjörn, 2014. "All-integer column generation for set partitioning: Basic principles and extensions," European Journal of Operational Research, Elsevier, vol. 233(3), pages 529-538.

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