Approximate queueing models for capacitated multi-stage inventory systems under base-stock control

Zeynep Müge Avsar, Willem H.M. Zijm

    Research output: Contribution to journalArticleAcademicpeer-review

    6 Citations (Scopus)

    Abstract

    A queueing analysis is presented for base-stock controlled multi-stage production-inventory systems with capacity constraints. The exact queueing model is approximated by replacing some state-dependent conditional probabilities (that are used to express the transition rates) by constants. Two recursive algorithms (each with several variants) are developed for analysis of the steady-state performance. It is analytically shown that one of these algorithms is equivalent to the existing approximations given in the literature. The system studied here is more general than the systems studied in the literature. The numerical investigation for three-stage systems shows that the proposed approximations work well to estimate the relevant performance measures.
    Original languageEnglish
    Pages (from-to)135-146
    Number of pages12
    JournalEuropean journal of operational research
    Volume236
    Issue number1
    DOIs
    Publication statusPublished - 15 Jan 2014

    Keywords

    • METIS-302146
    • IR-89227

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