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A discrete-time queueing system with multiserver. (Chinese. English summary) Zbl 1001.60098

Summary: A discrete-time queueing system with multiserver is studied. It is assumed that the arrival process of customers is a discrete Markovian arrival process, and there are \(c\) different servers in the system and the service times of each server follow phase type distributions. By using the theory of matrix-geometric solution, the stationary queue length distributions are obtained. Meanwhile, the stationary distributioin of queue length seen by an arriving customer and the mean waiting time are given.

MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
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