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

Esa Hyytiä*, Rhonda Righter, Olivier Bilenne, Xiaohu Wu

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

    2 Citations (Scopus)

    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.

    Original languageEnglish
    Title of host publicationEAI/Springer Innovations in Communication and Computing
    PublisherSpringer
    Pages29-46
    Number of pages18
    ISBN (Electronic)978-3-319-92378-9
    ISBN (Print)978-3-319-92377-2
    DOIs
    Publication statusPublished - 1 Jan 2019
    MoE publication typeA3 Book section, Chapters in research books

    Publication series

    NameEAI/Springer Innovations in Communication and Computing
    ISSN (Print)2522-8595
    ISSN (Electronic)2522-8609

    Keywords

    • Batch Arrivals
    • Job Size
    • Parallel Servers
    • Varying Job Sizes
    • Violation Cost

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