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Scheduling with processing set restrictions: A survey

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  • Leung, Joseph Y.-T.
  • Li, Chung-Lun

Abstract

Scheduling problems with processing set restrictions have been studied extensively by computer scientists and operations researchers under different names. These include "scheduling typed task systems," "multi-purpose machine scheduling," "scheduling with eligibility constraints," "scheduling with processing set restrictions," and "semi-matchings for bipartite graphs." In this paper we survey the state of the art of these problems. Our survey covers offline and online problems, as well as nonpreemptive and preemptive scheduling environments. Our emphasis is on polynomial-time algorithms, complexity issues, and approximation schemes. While our main focus is on the makespan objective, other performance criteria are also discussed.

Suggested Citation

  • Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    • Handle: RePEc:eee:proeco:v:116:y:2008:i:2:p:251-262
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    References listed on IDEAS

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    1. Li, Chung-Lun, 2006. "Scheduling unit-length jobs with machine eligibility restrictions," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1325-1328, October.
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    7. Aubry, A. & Rossi, A. & Espinouse, M.-L. & Jacomino, M., 2008. "Minimizing setup costs for parallel multi-purpose machines under load-balancing constraint," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1115-1125, June.
    8. Liao, Lu-Wen & Sheen, Gwo-Ji, 2008. "Parallel machine scheduling with machine availability and eligibility constraints," European Journal of Operational Research, Elsevier, vol. 184(2), pages 458-467, January.
    9. Hark-Chin Hwang & Soo Y. Chang & Yushin Hong, 2004. "A Posterior Competitiveness For List Scheduling Algorithm On Machines With Eligibility Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 117-125.
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