Letter to the Editor—Some Results for the Bulk-Arrival Infinite-Server Poisson Queue

John F. Reynolds
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John F. Reynolds: University College of South Wales and Monmouthshire, U.K.

Operations Research, 1968, vol. 16, issue 1, 186-189

Abstract: An infinite server queue is considered in which an arrival is actually a group (of random size) of customers. A generating function for the time-dependent queue length is obtained, and used to show that the limiting distribution is compound Poisson. It is also shown that the regression of queue length at time t on the initial length is linear, and from this an expression for the autocorrelation function is deduced.

Date: 1968
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