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

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

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Article ID: iaor200971133
Country: Russia
Volume: 70
Issue: 7
Start Page Number: 1176
End Page Number: 1189
Publication Date: Jul 2009
Journal: Automation and Remote Control
Authors: , ,
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 λ(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.

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