This article is cited in 4 papers

Queuing Systems

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

N. I. Golovko, V. V. Katrakhov, D. E. Ryzhkov

Pacific State University of Economics, Vladivostok, Russia

Abstract: We consider a single-server queueing system (QS) with finite memory and exponential service with parameter $\mu$. The QS is fed by a doubly stochastic Poisson flow whose intensity $\lambda(t)$ 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.

PACS: 02.50.-r

Presented by the member of Editorial Board: A. I. Kibzun

Received: 28.06.2007

 English version: Automation and Remote Control, 2009, 70:7, 1176–1189

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