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Limit of the output processes from \(M/M/K\) queueing system. (Chinese. English summary) Zbl 0823.60099

Summary: With the limit theorems for stochastic processes, it is proved that in light traffic, the limit of the output processes from an \(M/M/K\) queueing system is a Poisson process, and in heavy traffic, the output processes from a \(G/M/K\) queueing system weakly converge to a Poisson process.

MSC:

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