M/M/1 Retrial Queueing System with Variable Service Rate

M. S. Bratiichuk; A. A. Chechelnitsky; I. Ya Usar

doi:10.1007/s11253-020-01790-1

M/M/1 Retrial Queueing System with Variable Service Rate

M. S. Bratiichuk
, A. A. Chechelnitsky
, I. Ya Usar

Katedra Modelowania Sztucznej Inteligencji (RMS/RMS2)

Kyiv National Taras Shevchenko University

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

3 Cytowania z bazy Scopus

Abstrakt

We consider a queueing system of the M/M/1 type with repeated claims in the case where the service rate depends on the loading of the system, i.e., on the number of claims in the queue waiting for service. We establish the existence conditions and the formulas for the ergodic distribution of the number of claims in the system with bounded and unbounded queues of repeated claims.

Język oryginału	angielski
Strony (od–do)	403-415
Liczba stron	13
Czasopismo	Ukrainian Mathematical Journal
Tom	72
Numer wydania	3
Identyfikatory DOI	https://doi.org/10.1007/s11253-020-01790-1
Status publikacji	Opublikowano - 1 sie 2020

Obszary tematyczne ASJC Scopus

Matematyka ogólna

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10.1007/s11253-020-01790-1

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abstract = "We consider a queueing system of the M/M/1 type with repeated claims in the case where the service rate depends on the loading of the system, i.e., on the number of claims in the queue waiting for service. We establish the existence conditions and the formulas for the ergodic distribution of the number of claims in the system with bounded and unbounded queues of repeated claims.",

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AB - We consider a queueing system of the M/M/1 type with repeated claims in the case where the service rate depends on the loading of the system, i.e., on the number of claims in the queue waiting for service. We establish the existence conditions and the formulas for the ergodic distribution of the number of claims in the system with bounded and unbounded queues of repeated claims.

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DO - 10.1007/s11253-020-01790-1

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M/M/1 Retrial Queueing System with Variable Service Rate

Abstrakt

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