Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
Ural Federal University, Institute of Radioelectronics and Information Technologies, 620002, 32 Mira street, Yekaterinburg, Russia
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This work devoted to researching of mathematical model of non-stationary queuing system (NQS). Arrival rate in studied NQS λ(t) is similar to rate which observed in practice in a real access control system of objects of mass events. Dependence of number of serviced requests from time was calculated. It is proven that the ratio value of served requests at the beginning of event to all served requests described by a deterministic function, depending on the average service rate and the maximum value of the arrival rate function λ(t).
© The Authors, published by EDP Sciences, 2017
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