Abstract
The paper presents an investigation of a computer-controlled queuing system with N queues in series and Mi, 1 ≤ i ≤ N, servers of negative exponential service-time distribution serving the ith queue. A generating function for stationary-stateprobabilities of necessary and sufficient conditions for the existence of statistical equilibrium for, and a formula for thedetermination of, the waiting-time distribution in the system are obtained.
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