Occupation times for the finite buffer fluid queue with phase-type ON-times

N.J. Starreveld, R. Bekker, M. Mandjes

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    In this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. Using an alternating renewal sequence, we determine the double transform of the occupation time; the occupation time for the finite buffer M/G/1 queue with phase-type jumps follows as a limiting case.

    Original languageEnglish
    Pages (from-to)27-32
    Number of pages6
    JournalOperations Research Letters
    Volume46
    Issue number1
    DOIs
    Publication statusPublished - 1 Jan 2018

    Keywords

    • Doubly reflected process
    • Finite buffer queue
    • Fluid model
    • Occupation time
    • Phase-type distribution

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