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Scheduling with Finite Capacity Output Buffers

Author

Listed:
  • Nicholas G. Hall

    (The Ohio State University, Columbus, Ohio)

  • Marc E. Posner

    (The Ohio State University, Columbus, Ohio)

  • Chris N. Potts

    (University of Southampton, Southampton, England)

Abstract

In many scheduling problems, a job that completes processing may need to be held in an output buffer until the customer is ready to accept delivery. Buffer capacity is usually assumed to be infinite.We study a number of the best known single machine scheduling problems, under several alternative assumptions about the capacity of the output buffer. Specifically, we allow the buffer capacity to be either zero, fixed, or specified as part of problem input. We also consider situations in which all jobs have the same storage requirement in the buffer, and others where the storage requirement may vary. Further, we consider generalizations where there is a time interval within which a customer accepts delivery without cost to the producer.A classification scheme for these problems is provided. For each problem considered, we provide either an efficient algorithm or a proof that such an algorithm is unlikely to exist. Our results provide a mapping of the computational complexity of these problems which parallels those that are available for classical scheduling problems with infinite buffer capacity.

Suggested Citation

  • Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 1998. "Scheduling with Finite Capacity Output Buffers," Operations Research, INFORMS, vol. 46(3-supplem), pages 84-97, June.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:3-supplement-3:p:s84-s97
    DOI: 10.1287/opre.46.3.S84
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    References listed on IDEAS

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    1. E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
    2. Nawijn, W. M., 1992. "Minimum loss scheduling problems," European Journal of Operational Research, Elsevier, vol. 56(3), pages 364-369, February.
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    Cited by:

    1. M Azizoglu & M Koksalan & S K Koksalan, 2003. "Scheduling to minimize maximum earliness and number of tardy jobs where machine idle time is allowed," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 661-664, June.
    2. L Tang & H Xuan, 2006. "Lagrangian relaxation algorithms for real-time hybrid flowshop scheduling with finite intermediate buffers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(3), pages 316-324, March.
    3. Sawik, Tadeusz, 2007. "A lexicographic approach to bi-objective scheduling of single-period orders in make-to-order manufacturing," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1060-1075, August.

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