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Minimizing weighted earliness and tardiness penalties in single‐machine scheduling with idle time permitted

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  • Jaw‐Yeh Chen
  • Sheng‐Fuu Lin

Abstract

In this paper, a single‐machine scheduling problem with weighted earliness and tardiness penalties is considered. Idle time between two adjacent jobs is permitted and due dates of jobs could be unequal. The dominance rules are utilized to develop a relationship matrix, which allows a branch‐and‐bound algorithm to eliminate a high percentage of infeasible solutions. After combining this matrix with a branching strategy, a procedure to solve the problem is proposed. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 760–780, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10039

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:8:p:760-780
    DOI: 10.1002/nav.10039
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    References listed on IDEAS

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    1. 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.
    2. 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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    4. 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.
    5. J. A. Hoogeveen & S. L. van de Velde, 1996. "A Branch-and-Bound Algorithm for Single-Machine Earliness--Tardiness Scheduling with Idle Time," INFORMS Journal on Computing, INFORMS, vol. 8(4), pages 402-412, November.
    6. Wlodzimierz Szwarc, 1993. "Adjacent orderings in single‐machine scheduling with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 229-243, March.
    7. Koulamas, Christos, 1996. "Single-machine scheduling with time windows and earliness/tardiness penalties," European Journal of Operational Research, Elsevier, vol. 91(1), pages 190-202, May.
    8. 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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