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

Irwin W. Kabak
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Irwin W. Kabak: New York University and Modelmetrics, Inc.

Management Science, 1970, vol. 17, issue 1, 112-115

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.

Date: 1970
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:17:y:1970:i:1:p:112-115

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