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Asymptotic Methods in the Probabilistic Analysis of Sequencing and Packing Heuristics

Author

Listed:
  • E. G. Coffman, Jr.

    (AT&T Bell Laboratories, Murray Hill, New Jersey 07974)

  • G. S. Lueker

    (University of California, Irvine, California 92717)

  • A. H. G. Rinnooy Kan

    (Econometric Institute, Erasmus University, 3000 DR, Rotterdam, The Netherlands)

Abstract

Recently there has been considerable interest in the average-case performance of heuristics. This paper pursues that interest, where it concerns sequencing and packing problems. In particular, we survey the methods that have been used to obtain formal probabilistic analyses of heuristics for makespan scheduling and one-dimensional bin packing. In so doing, we present many of the key results in these research areas.

Suggested Citation

  • E. G. Coffman, Jr. & G. S. Lueker & A. H. G. Rinnooy Kan, 1988. "Asymptotic Methods in the Probabilistic Analysis of Sequencing and Packing Heuristics," Management Science, INFORMS, vol. 34(3), pages 266-290, March.
    • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:3:p:266-290
    DOI: 10.1287/mnsc.34.3.266
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    Cited by:

    1. Johnny C. Ho & Ivar Massabò & Giuseppe Paletta & Alex J. Ruiz-Torres, 2019. "A note on posterior tight worst-case bounds for longest processing time schedules," 4OR, Springer, vol. 17(1), pages 97-107, March.
    2. Kohli, Rajeev & Krishnamurti, Ramesh & Mirchandani, Prakash, 2004. "Average performance of greedy heuristics for the integer knapsack problem," European Journal of Operational Research, Elsevier, vol. 154(1), pages 36-45, April.
    3. Dell'Amico, Mauro & Iori, Manuel & Martello, Silvano & Monaci, Michele, 2006. "Lower bounds and heuristic algorithms for the ki-partitioning problem," European Journal of Operational Research, Elsevier, vol. 171(3), pages 725-742, June.

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    Keywords

    programming: integer algorithms; heuristic;

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