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Blocking and Delays in M (x) /M/c Bulk Arrival Queueing Systems

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  • Irwin W. Kabak

    (New York University and Modelmetrics, Inc.)

Abstract

This paper presents results for queueing systems that are characterized by poisson arrival epochs with x (a random variable) arrivals at each epoch, exponential service times and c servers. The steady state probabilities, the probability of blocking (not being served immediately) for both loss and delay systems are investigated. In addition, the average delay, the variance of the delay and the delay distribution for first-come-served by batches and arbitrary order of service within batches are presented.

Suggested Citation

  • Irwin W. Kabak, 1970. "Blocking and Delays in M (x) /M/c Bulk Arrival Queueing Systems," Management Science, INFORMS, vol. 17(1), pages 112-115, September.
  • Handle: RePEc:inm:ormnsc:v:17:y:1970:i:1:p:112-115
    DOI: 10.1287/mnsc.17.1.112
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