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An algorithm for minimizing flow time and maximum earliness on a single machine

Author

Listed:
  • R-H Huang

    (Fu Jen Catholic University)

  • C-L Yang

    (Fu Jen Catholic University)

Abstract

This study presents an algorithm for efficient scheduling in terms of total flow time and maximum earliness. All the algorithms in the literature for solving this problem are based on heuristic procedures, and cannot necessarily generate all efficient schedules. This study shows that this problem can actually be solved in pseudo-polynomial time, and develops an algorithm for so doing. The complexity of the algorithm is O (n 2p̄ log n). Its computational performance in solving problems of various sizes is determined.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:6:d:10.1057_palgrave.jors.2602610
    DOI: 10.1057/palgrave.jors.2602610
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    References listed on IDEAS

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    1. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    2. Van Wassenhove, Luk N. & Baker, Kenneth R., 1982. "A bicriterion approach to time/cost trade-offs in sequencing," European Journal of Operational Research, Elsevier, vol. 11(1), pages 48-54, September.
    3. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    4. Rosser T. Nelson & Rakesh K. Sarin & Richard L. Daniels, 1986. "Scheduling with Multiple Performance Measures: The One-Machine Case," Management Science, INFORMS, vol. 32(4), pages 464-479, April.
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    Cited by:

    1. 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.

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