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

Katedra Sieci i Systemów Komputerowych (RAU/RAU9)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	311-326
Liczba stron	16
Czasopismo	Journal of Applied Mathematics and Stochastic Analysis
Tom	16
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1155/S104895330300025X
Status publikacji	Opublikowano - 1997

Obszary tematyczne ASJC Scopus

Statystyka i prawdopodobieństwo
Modelowanie i symulacja
Matematyka stosowana

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10.1155/S104895330300025X

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title = "On the ergodic distribution of oscillating queueing systems",

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.",

keywords = "Ergodic Distribution, Potential Method, Queueing System",

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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.

KW - Ergodic Distribution, Potential Method

KW - Queueing System

UR - https://www.scopus.com/pages/publications/41249088166

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DO - 10.1155/S104895330300025X

M3 - Article

AN - SCOPUS:41249088166

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On the ergodic distribution of oscillating queueing systems

Abstrakt

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