Stochastic Variations in Queuing Processes

M. Eisen and M. Tainiter
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M. Eisen: IBM Corporation, Yorktown Heights, New York
M. Tainiter: IBM Corporation, Yorktown Heights, New York

Operations Research, 1963, vol. 11, issue 6, 922-927

Abstract: In this paper we consider a queuing process in which there are two mean arrival and service rates. Not only does the system randomly change from one mode of service and arrival to the other, but units arrive at random and require varying amounts of service. Analytic expressions are obtained for the generating functions, the mean queue length, and the mean waiting time. Several practical illustrations are given.

Date: 1963
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