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Optimal timing schedules in earliness‐tardiness single machine sequencing

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  • Wlodzimierz Szwarc
  • Samar K. Mukhopadhyay

Abstract

The article deals with a single machine earliness‐tardiness scheduling model where idle times are permitted in job processing. Based on a cluster concept we develop properties of the model that lead to a very fast algorithm to find an optimal timing schedule for a given sequence of jobs. The performance of this algorithm is tested on 480 randomly generated problems involving 100, 200, 400 and 500 jobs. It takes less than two seconds to solve a 500 job problem on a PC. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Wlodzimierz Szwarc & Samar K. Mukhopadhyay, 1995. "Optimal timing schedules in earliness‐tardiness single machine sequencing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1109-1114, October.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:7:p:1109-1114
    DOI: 10.1002/1520-6750(199510)42:73.0.CO;2-5
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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. 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.
    3. Michael R. Garey & Robert E. Tarjan & Gordon T. Wilfong, 1988. "One-Processor Scheduling with Symmetric Earliness and Tardiness Penalties," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 330-348, May.
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    Cited by:

    1. 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.
    2. Jaw‐Yeh Chen & Sheng‐Fuu Lin, 2002. "Minimizing weighted earliness and tardiness penalties in single‐machine scheduling with idle time permitted," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 760-780, December.
    3. Guang Feng & Hoong Lau, 2008. "Efficient algorithms for machine scheduling problems with earliness and tardiness penalties," Annals of Operations Research, Springer, vol. 159(1), pages 83-95, March.

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