Blocking and Delays in M(x)/M/c Bulk Arrival Queueing Systems
- 1 September 1970
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science
- Vol. 17 (1) , 112-115
- https://doi.org/10.1287/mnsc.17.1.112
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.Keywords
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