Queueing system with finite memory and jump intensity of the arrival process

Authors:
N. I. Golovko;V. V. Katrakhov;D. E. Ryzhkov
Affiliations:
Pacific State University of Economics, Vladivostok, Russia;Pacific State University of Economics, Vladivostok, Russia;Pacific State University of Economics, Vladivostok, Russia
Venue:
Automation and Remote Control
Year:
2009

Citing 4
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Abstract

We consider a single-server queueing system (QS) with finite memory and exponential service with parameter µ. The QS is fed by a doubly stochastic Poisson flow whose intensity 驴(t) is a jump process. We propose a matrix and a functional-analytical method to study stationary and nonstationary characteristics of the QS; we also prove existence and uniqueness of a stationary regime and stabilization of a nonstationary regime of the QS. Results of numerical analysis are discussed.