Hysteresis strategy for a M/M/1 retrial queue with a changeable service rate.

The paper deals with a queueing system of the type M / M /1 with repeated calls and a state-dependent service rate in which the server is functioning under a hysteresis strategy. The existence condition and the formulae for ergodic distribution of the number of calls in the system are obtained.

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Publication Details

Journal
Annals of Operations Research
Published
2026-06-17
DOI
https://doi.org/10.1007/s10479-026-07267-x
Primary Topic
Advanced Queuing Theory Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Hysteresis strategy for a M/M/1 retrial queue with a changeable service rate.

M. Bratiichuk
Annals of Operations Research
Advanced Queuing Theory Analysis
article

Hysteresis strategy for a M/M/1 retrial queue with a changeable service rate.

M. Bratiichuk
article en

Abstract

The paper deals with a queueing system of the type M / M /1 with repeated calls and a state-dependent service rate in which the server is functioning under a hysteresis strategy. The existence condition and the formulae for ergodic distribution of the number of calls in the system are obtained.

Annals of Operations Research
Silesian University of Technology (PL)
Openalex Percentile: Top 4%
Advanced Queuing Theory Analysis
DOIOpen Access PDFOpenAlex
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