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Partial enumeration in heuristics for some combinatorial optimization problems

Author

Listed:
  • A Volgenant

    (University of Amsterdam)

  • I Y Zwiers

    (University of Amsterdam)

Abstract

We consider partial enumeration as a routine to improve heuristics in practice. For the multidimensional 0–1 knapsack problem and the single-machine weighted tardiness problem, known heuristics have been extended with partial enumeration. Various variants have been compared. The results show improvements in the obtained solutions at a modest extra effort in implementation and computing time.

Suggested Citation

  • A Volgenant & I Y Zwiers, 2007. "Partial enumeration in heuristics for some combinatorial optimization problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 73-79, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602102
    DOI: 10.1057/palgrave.jors.2602102
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    References listed on IDEAS

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    1. Magazine, M. J. & Oguz, Osman, 1984. "A heuristic algorithm for the multidimensional zero-one knapsack problem," European Journal of Operational Research, Elsevier, vol. 16(3), pages 319-326, June.
    2. Chris N. Potts & Luk N. Van Wassenhove, 1985. "A Branch and Bound Algorithm for the Total Weighted Tardiness Problem," Operations Research, INFORMS, vol. 33(2), pages 363-377, April.
    3. O Holthaus & C Rajendran, 2005. "A fast ant-colony algorithm for single-machine scheduling to minimize the sum of weighted tardiness of jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 947-953, August.
    4. Vasquez, Michel & Vimont, Yannick, 2005. "Improved results on the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 165(1), pages 70-81, August.
    5. E. Mokotoff & J.L. Jimeno, 2002. "Heuristics Based on Partial Enumeration for the Unrelated Parallel Processor Scheduling Problem," Annals of Operations Research, Springer, vol. 117(1), pages 133-150, November.
    6. Richard Loulou & Eleftherios Michaelides, 1979. "New Greedy-Like Heuristics for the Multidimensional 0-1 Knapsack Problem," Operations Research, INFORMS, vol. 27(6), pages 1101-1114, December.
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    Cited by:

    1. Wilbaut, Christophe & Salhi, Saïd & Hanafi, Saïd, 2009. "An iterative variable-based fixation heuristic for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 199(2), pages 339-348, December.
    2. Ivan Derpich & Carlos Herrera & Felipe Sepúlveda & Hugo Ubilla, 2021. "Complexity indices for the multidimensional knapsack problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 589-609, June.

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