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A single server retrial queue with event-dependent arrival rates

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Main Author: Ioannis, Dimitriou
Format: Book
Language:English
Published: Springer 2023
Subjects:
single server retrial queue
Online Access:https://link.springer.com/article/10.1007/s10479-023-05263-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8416
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spelling oai:localhost:PNK-84162023-05-08T01:29:37Z A single server retrial queue with event-dependent arrival rates Ioannis, Dimitriou single server retrial queue CC BY In this work, we consider a novel single-server retrial queue with event-dependent arrival rates. Contrary to other related works, the primary customers’ arrival rates depend on the last realized event, which refers either to a departure, or to an arrival of either type, or to when a customer arrives during a busy period, compared with others. Our motivation stems from the modeling of service systems, in which the customers express their willingness to join the system based on the last realized event. We investigate the stability conditions, and derive the stationary distribution both at service completion epochs, and at an arbitrary epoch. We also study the asymptotic behaviour under high rate of retrials. Performance measures are explicitly derived, and extensive numerical examples are performed to investigate the impact of event-dependency. 2023-05-08T01:29:36Z 2023-05-08T01:29:36Z 2023 Book https://link.springer.com/article/10.1007/s10479-023-05263-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/8416 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic single server retrial queue
spellingShingle single server retrial queue
Ioannis, Dimitriou
A single server retrial queue with event-dependent arrival rates
description CC BY
format Book
author Ioannis, Dimitriou
author_facet Ioannis, Dimitriou
author_sort Ioannis, Dimitriou
title A single server retrial queue with event-dependent arrival rates
title_short A single server retrial queue with event-dependent arrival rates
title_full A single server retrial queue with event-dependent arrival rates
title_fullStr A single server retrial queue with event-dependent arrival rates
title_full_unstemmed A single server retrial queue with event-dependent arrival rates
title_sort single server retrial queue with event-dependent arrival rates
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10479-023-05263-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8416
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score 8.891145

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