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

Department of Artificial Intelligence Modelling (RMS/RMS2)

Kyiv National Taras Shevchenko University

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

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	403-415
Number of pages	13
Journal	Ukrainian Mathematical Journal
Volume	72
Issue number	3
DOIs	https://doi.org/10.1007/s11253-020-01790-1
Publication status	Published - 1 Aug 2020

ASJC Scopus subject areas

General Mathematics

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10.1007/s11253-020-01790-1

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title = "M/M/1 Retrial Queueing System with Variable Service Rate",

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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AU - Bratiichuk, M. S.

AU - Chechelnitsky, A. A.

AU - Usar, I. Ya

PY - 2020/8/1

Y1 - 2020/8/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85091684618

U2 - 10.1007/s11253-020-01790-1

DO - 10.1007/s11253-020-01790-1

M3 - Article

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SP - 403

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JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

IS - 3

ER -

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

Abstract

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