On the ergodic distribution of oscillating queueing systems

Mykola Bratiychuk; Andrzej Chydzinski

doi:10.1155/S104895330300025X

On the ergodic distribution of oscillating queueing systems

Mykola Bratiychuk
, Andrzej Chydzinski

Department of Computer Networks and Systems (RAU/RAU9)

Silesian University of Technology

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper examines a new class of queucing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of a G/M-M/1 system, where the interarrival distribution does not change and both service distributions are exponential. A numerical example is also given.

Original language	English
Pages (from-to)	311-326
Number of pages	16
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	16
Issue number	4
DOIs	https://doi.org/10.1155/S104895330300025X
Publication status	Published - 1997

Keywords

Ergodic Distribution, Potential Method
Queueing System

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1155/S104895330300025X

Cite this

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AB - This paper examines a new class of queucing systems and proves a theorem on the existence of the ergodic distribution of the number of customers in such a system. An ergodic distribution is computed explicitly for the special case of a G/M-M/1 system, where the interarrival distribution does not change and both service distributions are exponential. A numerical example is also given.

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KW - Queueing System

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JO - Journal of Applied Mathematics and Stochastic Analysis

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On the ergodic distribution of oscillating queueing systems

Abstract

Keywords

ASJC Scopus subject areas

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