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Minimizing the sum of absolute lateness in single‐machine and multimachine scheduling

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  • P. S. Sundararaghavan
  • Mesbah U. Ahmed

Abstract

Kanet addressed the problem of scheduling n jobs on one machine so as to minimize the sum of absolute lateness under a restrictive assumption on their common due date. This article extends the results to the problem of scheduling n jobs on m parallel identical processors in order to minimize the sum of absolute lateness. Also, a heuristic algorithm for a more general version with no restriction on the common due date, for the problem of n‐job single‐machine scheduling is presented and its performance is reported.

Suggested Citation

  • P. S. Sundararaghavan & Mesbah U. Ahmed, 1984. "Minimizing the sum of absolute lateness in single‐machine and multimachine scheduling," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 325-333, June.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:2:p:325-333
    DOI: 10.1002/nav.3800310214
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    Cited by:

    1. J. Steve Davis & John J. Kanet, 1993. "Single‐machine scheduling with early and tardy completion costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 85-101, February.
    2. Gur Mosheiov, 2000. "Minimizing mean absolute deviation of job completion times from the mean completion time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(8), pages 657-668, December.
    3. Vincent T’kindt & Karima Bouibede-Hocine & Carl Esswein, 2007. "Counting and enumeration complexity with application to multicriteria scheduling," Annals of Operations Research, Springer, vol. 153(1), pages 215-234, September.
    4. Joseph Y.‐T. Leung, 2002. "A dual criteria sequencing problem with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 422-431, June.
    5. Bernard Dickman & Yonah Wilamowsky & Sheldon Epstein, 2001. "Multiple common due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(4), pages 293-298, June.
    6. Enrique Gerstl & Gur Mosheiov, 2014. "Single machine just‐in‐time scheduling problems with two competing agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(1), pages 1-16, February.
    7. Kerem Bülbül & Philip Kaminsky & Candace Yano, 2004. "Flow shop scheduling with earliness, tardiness, and intermediate inventory holding costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 407-445, April.

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