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Dispatching Discrete-Size Jobs with Multiple Deadlines to Parallel Heterogeneous Servers

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Systems Modeling: Methodologies and Tools

Part of the book series: EAI/Springer Innovations in Communication and Computing ((EAISICC))

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Abstract

We study the M/D/1 queue and its generalization, the M/iD/1 queue, when jobs have firm deadlines for waiting (or sojourn) time. If a deadline is not met, a job-specific deadline violation cost is incurred. The M/iD/1 queue enables us to model both varying jobs sizes and batch arrival processes. We derive explicit value functions for these M/D/1-type of queues that enable the development of efficient cost-aware dispatching policies to parallel servers.

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Notes

  1. 1.

    We use the convention that 00 = 1 so that (3.7) holds also when τ = 0.

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Acknowledgements

This work was supported by the Academy of Finland in the FQ4BD project (grant nos. 296206).

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Authors and Affiliations

  1. Department of Computer Science, University of Iceland, Reykjavík, Iceland

    Esa Hyytiä

  2. Department of Industrial Engineering and Operations Research, UC Berkeley, Berkeley, CA, USA

    Rhonda Righter

  3. Department of Communications and Networking, Aalto University, Espoo, Finland

    Olivier Bilenne & Xiaohu Wu

Authors
  1. Esa Hyytiä
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  2. Rhonda Righter
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  3. Olivier Bilenne
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  4. Xiaohu Wu
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Corresponding author

Correspondence to Esa Hyytiä .

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Editors and Affiliations

  1. Department of Engineering, University of Messina, Messina, Italy

    Antonio Puliafito

  2. ECE Department School of Engineering, Duke University, Durham, NC, USA

    Kishor S. Trivedi

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Hyytiä, E., Righter, R., Bilenne, O., Wu, X. (2019). Dispatching Discrete-Size Jobs with Multiple Deadlines to Parallel Heterogeneous Servers. In: Puliafito, A., Trivedi, K. (eds) Systems Modeling: Methodologies and Tools. EAI/Springer Innovations in Communication and Computing. Springer, Cham. https://doi.org/10.1007/978-3-319-92378-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-92378-9_3

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