The sojourn time distribution in an infinite server resequencing queue with dependent interarrival and service times

Tijs Huisman, Richard J. Boucherie

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    Abstract

    We consider an infinite server resequencing queue, where arrivals are generated by jumps of a semi-Markov process and service times depend on the jumps of this process. The stationary distribution of the sojourn time, conditioned on the state of the semi-Markov process, is obtained both for the case of hyperexponential service times and for the case of a Markovian arrival process. For the general model, an accurate approximation is derived based on a discretisation of interarrival and service times.
    Original languageUndefined
    Pages (from-to)590-603
    Number of pages14
    JournalJournal of applied probability
    Volume39
    Issue number3
    DOIs
    Publication statusPublished - 2002

    Keywords

    • Semi-Markovian arrival process
    • Sojourn time distribution
    • Resequencing queue

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