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

Author

Listed:
  • Anders Rygh Swensen

    (Norwegian Telecommunications Administration Research Establishment, Kjeller, Norway)

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.

Suggested Citation

  • Anders Rygh Swensen, 1986. "On a GI / M / c Queue with Bounded Waiting Times," Operations Research, INFORMS, vol. 34(6), pages 895-908, December.
    • Handle: RePEc:inm:oropre:v:34:y:1986:i:6:p:895-908
    DOI: 10.1287/opre.34.6.895
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