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Transporting jobs through a two‐machine open shop

Author

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  • Irina N. Lushchakova
  • Alan J. Soper
  • Vitaly A. Strusevich

Abstract

We consider the two‐machine open shop scheduling problem in which the jobs are brought to the system by a single transporter and moved between the processing machines by the same transporter. The purpose is to split the jobs into batches and to find the sequence of moves of the transporter so that the time by which the completed jobs are collected together on board the transporter is minimal. We present a $ {7 \over 5} $‐approximation algorithm. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009

Suggested Citation

  • Irina N. Lushchakova & Alan J. Soper & Vitaly A. Strusevich, 2009. "Transporting jobs through a two‐machine open shop," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 1-18, February.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:1:p:1-18
    DOI: 10.1002/nav.20323
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    References listed on IDEAS

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    1. Yuan, Jinjiang & Soukhal, Ameur & Chen, Youjun & Lu, Lingfa, 2007. "A note on the complexity of flow shop scheduling with transportation constraints," European Journal of Operational Research, Elsevier, vol. 178(3), pages 918-925, May.
    2. Soukhal, A. & Oulamara, A. & Martineau, P., 2005. "Complexity of flow shop scheduling problems with transportation constraints," European Journal of Operational Research, Elsevier, vol. 161(1), pages 32-41, February.
    3. C.A. Glass & C.N. Potts & V.A. Strusevich, 2001. "Scheduling Batches with Sequential Job Processing for Two-Machine Flow and Open Shops," INFORMS Journal on Computing, INFORMS, vol. 13(2), pages 120-137, May.
    4. Yves Crama & Joris van de Klundert, 1997. "Cyclic Scheduling of Identical Parts in a Robotic Cell," Operations Research, INFORMS, vol. 45(6), pages 952-965, December.
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    Cited by:

    1. Hans Kellerer & Alan J. Soper & Vitaly A. Strusevich, 2013. "Preemptive scheduling on two identical parallel machines with a single transporter," Journal of Combinatorial Optimization, Springer, vol. 25(2), pages 279-307, February.
    2. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.

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