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On scheduling with ready‐times, due‐dates and vacations

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  • V. Jorge Leon
  • S. David Wu

Abstract

A single machine sequencing problem is considered in which there are ready‐time and due‐date constraints on jobs and vacation constraints on the machine. Each vacation has fixed starting and finish time and no preemption is allowed for the jobs. The objective is to minimize maximum lateness. An intriguing feature of this formulation is that it allows sequencing in disconnected time windows. A relaxation of the problem is obtained by modeling the vacations as a set of jobs with flexible ready‐times and artificial due‐dates and a branch and bound algorithm is developed for the problem. In the algorithm, the search is not only guided by the bounds but also by a careful manipulation of the artificial due‐dates. Consequently; while searching in the relaxed solution space, solutions of the original problem are implicitly enumerated. Computational results indicate that the algorithm can satisfactorily solve problems with multiple vacations.

Suggested Citation

  • V. Jorge Leon & S. David Wu, 1992. "On scheduling with ready‐times, due‐dates and vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 53-65, February.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:1:p:53-65
    DOI: 10.1002/1520-6750(199202)39:13.0.CO;2-C
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    References listed on IDEAS

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    1. L. Gelders & P. R. Kleindorfer, 1974. "Coordinating Aggregate and Detailed Scheduling Decisions in the One-Machine Job Shop: Part I. Theory," Operations Research, INFORMS, vol. 22(1), pages 46-60, February.
    2. Paul Bratley & Michael Florian & Pierre Robillard, 1973. "On sequencing with earliest starts and due dates with application to computing bounds for the (n/m/G/Fmax) problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(1), pages 57-67, March.
    3. Linus Schrage, 1970. "Solving Resource-Constrained Network Problems by Implicit Enumeration—Nonpreemptive Case," Operations Research, INFORMS, vol. 18(2), pages 263-278, April.
    4. L. Gelders & P. R. Kleindorfer, 1975. "Coordinating Aggregate and Detailed Scheduling in the One-Machine Job Shop: II—Computation and Structure," Operations Research, INFORMS, vol. 23(2), pages 312-324, April.
    5. M. Florian & P. Trepant & G. McMahon, 1971. "An Implicit Enumeration Algorithm for the Machine Sequencing Problem," Management Science, INFORMS, vol. 17(12), pages 782-792, August.
    6. Kenneth R. Baker & Henry L. W. Nuttle, 1980. "Sequencing independent jobs with a single resource," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(3), pages 499-510, September.
    7. Joseph Adams & Egon Balas & Daniel Zawack, 1988. "The Shifting Bottleneck Procedure for Job Shop Scheduling," Management Science, INFORMS, vol. 34(3), pages 391-401, March.
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    Cited by:

    1. Egon Balas & Giuseppe Lancia & Paolo Serafini & Alkiviadis Vazacopoulos, 1998. "Job Shop Scheduling With Deadlines," Journal of Combinatorial Optimization, Springer, vol. 1(4), pages 329-353, December.
    2. Kerem Bülbül & Safia Kedad-Sidhoum & Halil Şen, 2019. "Single-machine common due date total earliness/tardiness scheduling with machine unavailability," Journal of Scheduling, Springer, vol. 22(5), pages 543-565, October.

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