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Scheduling chains with identical jobs and constant delays on a single machine

Author

Listed:
  • Peter Brucker
  • Sigrid Knust
  • Ceyda Oğuz

Abstract

In this paper we study the single-machine problem 1|chains(l), p j =p|∑ C j in which jobs with constant processing times and generalized precedence constraints in form of chains with constant delays are given. One has to schedule the jobs on a single machine such that all delays between consecutive jobs in a chain are satisfied and the sum of all completion times of the jobs is minimized. We show that this problem is polynomially solvable. Copyright Springer-Verlag 2006

Suggested Citation

  • Peter Brucker & Sigrid Knust & Ceyda Oğuz, 2006. "Scheduling chains with identical jobs and constant delays on a single machine," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 63-75, February.
    • Handle: RePEc:spr:mathme:v:63:y:2006:i:1:p:63-75
    DOI: 10.1007/s00186-005-0014-8
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    References listed on IDEAS

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    1. Alix Munier & Francis Sourd, 2003. "Scheduling chains on a single machine with non-negative time lags," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(1), pages 111-123, April.
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    Cited by:

    1. J-B Wang & J-J Wang & P Ji, 2011. "Scheduling jobs with chain precedence constraints and deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1765-1770, September.
    2. Courtad, Brenda & Baker, Kenneth & Magazine, Michael & Polak, George, 2017. "Minimizing flowtime for paired tasks," European Journal of Operational Research, Elsevier, vol. 259(3), pages 818-828.

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