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Minimizing the sum of maximum earliness and maximum tardiness in the single-machine scheduling problem with sequence-dependent setup time

Author

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  • N Nekoiemehr

    (Isfahan University of Technology)

  • G Moslehi

    (Isfahan University of Technology)

Abstract

This paper considers the problem of scheduling a given number of jobs on a single machine to minimize the sum of maximum earliness and maximum tardiness when sequence-dependent setup times exist (1∣ST sd ∣ET max). In this paper, an optimal branch-and-bound algorithm is developed that involves the implementation of lower and upper bounding procedures as well as three dominance rules. For solving problems containing large numbers of jobs, a polynomial time-bounded heuristic algorithm is also proposed. Computational experiments demonstrate the effectiveness of the bounding and dominance rules in achieving optimal solutions in more than 97% of the instances.

Suggested Citation

  • N Nekoiemehr & G Moslehi, 2011. "Minimizing the sum of maximum earliness and maximum tardiness in the single-machine scheduling problem with sequence-dependent setup time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1403-1412, July.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:7:d:10.1057_jors.2010.94
    DOI: 10.1057/jors.2010.94
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    References listed on IDEAS

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    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. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    3. Yano, Candace Arai & Kim, Yeong-Dae, 1991. "Algorithms for a class of single-machine weighted tardiness and earliness problems," European Journal of Operational Research, Elsevier, vol. 52(2), pages 167-178, May.
    4. Peter Luh & Ling Gou & Yuanhui Zhang & Takaaki Nagahora & Makoto Tsuji & Kiyoshi Yoneda & Tetsuo Hasegawa & Yuji Kyoya & Toshiyuki Kano, 1998. "Job shop scheduling with group-dependent setups, finite buffers, and long time horizon," Annals of Operations Research, Springer, vol. 76(0), pages 233-259, January.
    5. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    6. John J. Kanet & V. Sridharan, 2000. "Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review," Operations Research, INFORMS, vol. 48(1), pages 99-110, February.
    7. Luo, Xiaochuan & Chu, Chengbin, 2007. "A branch-and-bound algorithm of the single machine schedule with sequence-dependent setup times for minimizing maximum tardiness," European Journal of Operational Research, Elsevier, vol. 180(1), pages 68-81, July.
    8. Schaller, Jeffrey E. & Gupta, Jatinder N.D., 2008. "Single machine scheduling with family setups to minimize total earliness and tardiness," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1050-1068, June.
    9. Yeong‐Dae Kim & Candace Arai Yano, 1994. "Minimizing mean tardiness and earliness in single‐machine scheduling problems with unequal due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 913-933, December.
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    Cited by:

    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.

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