On a GI / M / c Queue with Bounded Waiting Times

Anders Rygh Swensen
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Anders Rygh Swensen: Norwegian Telecommunications Administration Research Establishment, Kjeller, Norway

Operations Research, 1986, vol. 34, issue 6, 895-908

Abstract: We derive the asymptotic distribution of the remaining load, virtual waiting time and actual waiting time for a multiserver queueing system with exponentially distributed service times and bounded waiting times. Interarrival distributions are Coxian, with m stages. This model has application to telephone exchange operations and to perishable inventory. The explicit derivation of the distributions involves determining the eigenvalues of m -dimensional matrices and solving linear equations in m unknowns. We give a few numerical illustrations.

Keywords: 347 perishable items; 681 queues with bounded waiting times (search for similar items in EconPapers)
Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:34:y:1986:i:6:p:895-908

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