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Preemptive multiprocessor task scheduling with release times and time windows

Author

Listed:
  • L. Bianco
  • J. Blazewicz
  • P. Dell'Olmo
  • M. Drozdowski

Abstract

Classical scheduling theory assumed that a task may require for its processing only one processor at a time. This assumption is not obvious in the context of new parallel computer systems and parallel algorithms. In this work, we consider preemptive deterministic scheduling of multiprocessor tasks, each of which may require a set of processors at a time. In general, tasks may appear in the system in different moments of time. We will also consider the problem of scheduling such tasks in time windows on particular processors. The existence of low-order polynomial time algorithms for the above problems with C max and L max criteria will be analyzed. The general case of the problem can be solved using a linear programming approach. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • L. Bianco & J. Blazewicz & P. Dell'Olmo & M. Drozdowski, 1997. "Preemptive multiprocessor task scheduling with release times and time windows," Annals of Operations Research, Springer, vol. 70(0), pages 43-55, April.
    • Handle: RePEc:spr:annopr:v:70:y:1997:i:0:p:43-55:10.1023/a:1018994726051
    DOI: 10.1023/A:1018994726051
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    Cited by:

    1. Adel Kacem & Abdelaziz Dammak, 2021. "Multi-objective scheduling on two dedicated processors," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 694-721, October.
    2. Fatma-Zohra Baatout & Mhand Hifi, 2023. "A two-phase hybrid evolutionary algorithm for solving the bi-objective scheduling multiprocessor tasks on two dedicated processors," Journal of Heuristics, Springer, vol. 29(2), pages 229-267, June.
    3. Xiaoqiang Cai & Chung‐Yee Lee & Chung‐Lun Li, 1998. "Minimizing total completion time in two‐processor task systems with prespecified processor allocations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(2), pages 231-242, March.
    4. Jianer Chen & Chung‐Yee Lee, 1999. "General multiprocessor task scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 57-74, February.

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