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On weighting two criteria with a parameter in combinatorial optimization problems

Author

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  • Duin, C.W.
  • Volgenant, A.

Abstract

Two criteria in a combinatorial problem are often combined in a weighted sum objective using a weighting parameter between 0 and 1. For special problem types, e.g., when one of the criteria is a bottleneck value, efficient algorithms are known that solve for a given value of the weighting parameter.

Suggested Citation

  • Duin, C.W. & Volgenant, A., 2012. "On weighting two criteria with a parameter in combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 1-6.
    • Handle: RePEc:eee:ejores:v:221:y:2012:i:1:p:1-6
    DOI: 10.1016/j.ejor.2012.01.054
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    References listed on IDEAS

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    1. Punnen, Abraham P. & Nair, K. P. K., 1996. "An O(m log n) algorithm for the max + sum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 89(2), pages 423-426, March.
    2. Mauro Dell'Amico & Francesco Maffioli, 2000. "Combining Linear and Non-Linear Objectives in Spanning Tree Problems," Journal of Combinatorial Optimization, Springer, vol. 4(2), pages 253-269, June.
    3. Geetha, S. & Nair, K. P. K., 1993. "A variation of the assignment problem," European Journal of Operational Research, Elsevier, vol. 68(3), pages 422-426, August.
    4. R-H Huang & C-L Yang, 2009. "An algorithm for minimizing flow time and maximum earliness on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(6), pages 873-877, June.
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    Cited by:

    1. Coutinho-Rodrigues, João & Tralhão, Lino & Alçada-Almeida, Luís, 2012. "A bi-objective modeling approach applied to an urban semi-desirable facility location problem," European Journal of Operational Research, Elsevier, vol. 223(1), pages 203-213.
    2. Brazil, M. & Ras, C.J. & Thomas, D.A., 2014. "A geometric characterisation of the quadratic min-power centre," European Journal of Operational Research, Elsevier, vol. 233(1), pages 34-42.

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