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A simple approach to the MAP/D/s queue. (English) Zbl 0964.60087

Summary: We provide a simple approach to analyze the stationary MAP/D/s queue, where customers are served under the FCFS discipline. Assuming a cyclic assignment of customers to servers, we first characterize the sojourn time distribution, and with this, the queue length distribution immediately after departures is obtained. Further, utilizing the relationship between the time-average queue length distribution and the customer-average queue length distribution at departures, we obtain a numerically feasible formula for the stationary queue length mass function.

MSC:

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