A Note on the GI/GI/∞ System with Identical Service and Interarrival-Time Distributions

E.A. van Doorn, A.A. Jagers

    Research output: Contribution to journalArticleAcademicpeer-review

    3 Citations (Scopus)

    Abstract

    We study the stationary distribution of the number of busy servers in a GI/GI/∞ system in which the service-time distribution is identical to the interarrival-time distribution, and obtain several representations for the variance. As a result we can verify an expression for the variance, conjectured by Rajaratnam and Takawira (IEEE Trans. Vehicular Technol. 50 (2001) 954–970), when the common distribution of interarrival and service times is a gamma distribution.
    Original languageEnglish
    Pages (from-to)45-52
    Number of pages7
    JournalQueueing systems
    Volume47
    Issue number1-2
    DOIs
    Publication statusPublished - 2004

    Keywords

    • METIS-218294
    • busy-server distribution
    • EWI-12826
    • Gamma distribution
    • IR-62330
    • Mellin transform
    • Infinite-server system

    Fingerprint Dive into the research topics of 'A Note on the GI/GI/∞ System with Identical Service and Interarrival-Time Distributions'. Together they form a unique fingerprint.

    Cite this