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Combinatorial Optimization in Real-Time Scheduling: Theory and Algorithms

Author

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  • Shyh-In Hwang

    (Yuan Ze University)

  • Sheng-Tzong Cheng

    (National Cheng Kung University)

Abstract

Real-time computer systems are essential for many applications, such as robot control, avionics, medical instrumentation, manufacturing, etc. The correctness of the system depends on the temporal correctness as well as the functional correctness of the task executions. In order to assure temporal correctness it is necessary that the resources be scheduled to meet the temporal requirements of applications. When we consider the problem of nonpreemptive scheduling of a set of tasks in a processor for which no feasible solution exists, some tasks may have to be rejected so that a schedule can be generated for the rest. In this paper, we consider the problem of generating an optimal schedule such that the number of rejected tasks is minimized, and then the finish time is minimized for the accepted tasks. We propose to use an analytic approach to solve this problem. We first discuss the super sequence based technique which was originally proposed for reducing the search space in testing the feasibility of a task set. Then we show by the Conformation theorem that the super sequence constructed from the task set also provides a valid and reduced search space for the optimization problem. While the complexity of our scheduling algorithm in the worst case remains exponential, our simulation results show that the cost is reasonable for the average case.

Suggested Citation

  • Shyh-In Hwang & Sheng-Tzong Cheng, 2001. "Combinatorial Optimization in Real-Time Scheduling: Theory and Algorithms," Journal of Combinatorial Optimization, Springer, vol. 5(3), pages 345-375, September.
    • Handle: RePEc:spr:jcomop:v:5:y:2001:i:3:d:10.1023_a:1011449311477
    DOI: 10.1023/A:1011449311477
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    References listed on IDEAS

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    1. J. Erschler & G. Fontan & C. Merce & F. Roubellat, 1983. "A New Dominance Concept in Scheduling n Jobs on a Single Machine with Ready Times and Due Dates," Operations Research, INFORMS, vol. 31(1), pages 114-127, February.
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    Cited by:

    1. Sergey Bereg & Andrew Brunner & Luis-Evaristo Caraballo & José-Miguel Díaz-Báñez & Mario A. Lopez, 2020. "On the robustness of a synchronized multi-robot system," Journal of Combinatorial Optimization, Springer, vol. 39(4), pages 988-1016, May.

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