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Minimality of EDF networks with resource sharing

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  • Łukasz Kruk

    (Maria Curie-Skłodowska University)

Abstract

We consider a general real-time, multi-resource network with soft customer deadlines, in which users require service from several shared resources simultaneously. We show that the preemptive earliest-deadline-first scheduling strategy minimizes, in a suitable sense, the system resource idleness with respect to customers with lead times not greater than any given threshold value on all the routes of the network. Related methods of performance evaluation for such systems are also discussed. Our arguments are pathwise, requiring no assumptions on the network topology and very mild assumptions, or even no assumptions, on the model stochastic primitives.

Suggested Citation

  • Łukasz Kruk, 2016. "Minimality of EDF networks with resource sharing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 259-283, October.
    • Handle: RePEc:spr:mathme:v:84:y:2016:i:2:d:10.1007_s00186-016-0543-3
    DOI: 10.1007/s00186-016-0543-3
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    References listed on IDEAS

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    1. Łukasz Kruk, 2011. "An Open Queueing Network with Asymptotically Stable Fluid Model and Unconventional Heavy Traffic Behavior," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 538-551, August.
    2. Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
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    Cited by:

    1. Łukasz Kruk, 2017. "Edge minimality of EDF resource sharing networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 331-366, October.
    2. Łukasz Kruk, 2018. "Stability of linear EDF networks with resource sharing," Queueing Systems: Theory and Applications, Springer, vol. 88(1), pages 167-203, February.
    3. Łukasz Kruk, 2020. "Continuity and monotonicity of solutions to a greedy maximization problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(1), pages 33-76, August.
    4. Łukasz Kruk & Robert Gieroba, 2022. "Local edge minimality of SRPT networks with shared resources," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 96(3), pages 459-492, December.

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