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Automatic Control and Computer Sciences

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01-02-2024

Elaborated Analysis of a Nonreplenishable Queue with Erlang Distribution of the Service Time

Authors: Alexander M. Andronov, Kristina Mahareva

Published in: Automatic Control and Computer Sciences | Issue 1/2024

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Abstract—

The present paper considers a service system without the input flow of claims, that is, all claims are present in the queue initially from the beginning. The number of such claims equals Θmax, whereas the number of servers equals k. The time of one service has the Erlang distribution. The paper aims to calculate the time distribution until the completion of all services, as well as the average waiting time of one claim.

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Title: Elaborated Analysis of a Nonreplenishable Queue with Erlang Distribution of the Service Time
Authors: Alexander M. Andronov
Kristina Mahareva
Publication date: 01-02-2024
Publisher: Pleiades Publishing
Published in: Automatic Control and Computer Sciences / Issue 1/2024
Print ISSN: 0146-4116
Electronic ISSN: 1558-108X
DOI: https://doi.org/10.3103/S0146411624010024

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