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Parallel dedicated machines scheduling with chain precedence constraints

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  • Agnetis, Alessandro
  • Kellerer, Hans
  • Nicosia, Gaia
  • Pacifici, Andrea

Abstract

A set of n nonpreemptive tasks are to be scheduled on m parallel dedicated machines with a regular criterion. Chain precedence constraints among the tasks, deterministic processing times and processing machine of each task are given.

Suggested Citation

  • Agnetis, Alessandro & Kellerer, Hans & Nicosia, Gaia & Pacifici, Andrea, 2012. "Parallel dedicated machines scheduling with chain precedence constraints," European Journal of Operational Research, Elsevier, vol. 221(2), pages 296-305.
    • Handle: RePEc:eee:ejores:v:221:y:2012:i:2:p:296-305
    DOI: 10.1016/j.ejor.2012.03.040
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    References listed on IDEAS

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    1. Sheldon B. Akers, 1956. "Letter to the Editor---A Graphical Approach to Production Scheduling Problems," Operations Research, INFORMS, vol. 4(2), pages 244-245, April.
    2. Sheldon B. Akers & Joyce Friedman, 1955. "A Non-Numerical Approach to Production Scheduling Problems," Operations Research, INFORMS, vol. 3(4), pages 429-442, November.
    3. Peter Brucker & Yu Sotskov & Frank Werner, 2007. "Complexity of shop-scheduling problems with fixed number of jobs: a survey," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 461-481, June.
    4. Arianna Alfieri & Gaia Nicosia, 2007. "Minimum cost multi-product flow lines," Annals of Operations Research, Springer, vol. 150(1), pages 31-46, March.
    5. Sotskov, Yu. N., 1991. "The complexity of shop-scheduling problems with two or three jobs," European Journal of Operational Research, Elsevier, vol. 53(3), pages 326-336, August.
    6. Kellerer, H. & Strusevich, V. A., 2003. "Scheduling parallel dedicated machines under a single non-shared resource," European Journal of Operational Research, Elsevier, vol. 147(2), pages 345-364, June.
    7. Blazewicz, Jacek & Kobler, Daniel, 2002. "Review of properties of different precedence graphs for scheduling problems," European Journal of Operational Research, Elsevier, vol. 142(3), pages 435-443, November.
    8. Herrmann, Jeffrey & Proth, Jean-Marie & Sauer, Nathalie, 1997. "Heuristics for unrelated machine scheduling with precedence constraints," European Journal of Operational Research, Elsevier, vol. 102(3), pages 528-537, November.
    9. William W. Hardgrave & George L. Nemhauser, 1963. "A Geometric Model and a Graphical Algorithm for a Sequencing Problem," Operations Research, INFORMS, vol. 11(6), pages 889-900, December.
    10. Agnetis, Alessandro & Flamini, Marta & Nicosia, Gaia & Pacifici, Andrea, 2010. "Scheduling three chains on two parallel machines," European Journal of Operational Research, Elsevier, vol. 202(3), pages 669-674, May.
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    Cited by:

    1. Andrzej Kozik, 2017. "Handling precedence constraints in scheduling problems by the sequence pair representation," Journal of Combinatorial Optimization, Springer, vol. 33(2), pages 445-472, February.
    2. Gaia Nicosia & Andrea Pacifici, 2017. "Scheduling assembly tasks with caterpillar precedence constraints on dedicated machines," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1680-1691, March.

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