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Maximum Likelihood Estimation of the Dead Time Period Duration in the Modulated Semi-synchronous Generalized Flow of Events Read chapter Read first chapter

2016 | OriginalPaper | Chapter

A Retrial Queueing System with Renewal Input and Phase Type Service Time Distribution

Author : Valentina Klimenok

Published in: Information Technologies and Mathematical Modelling - Queueing Theory and Applications

Publisher: Springer International Publishing

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Abstract

In this paper, a single-server retrial queue with renewal input, phase type service time distribution and a constant retrial rate is analyzed. A constant retrial rate is typical for some real world systems where the intensity of individual retrials is inversely proportional to the number of customers in the orbit or only one customer from the orbit is allowed to make the retrials. A distinguishing feature of the system under consideration is an arbitrary distribution of inter-arrival times and phase type service time distribution while the vast majority of previous research is devoted to retrial systems with a stationary Poisson input or Markovian extensions and exponentially distributed service times. We derive the stationary distributions of the system states and the Laplace-Stieltjes transform of the sojourn time distribution.

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previous chapter New Results for a Thinned Renewal Process
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Metadata
Title
A Retrial Queueing System with Renewal Input and Phase Type Service Time Distribution
Author
Valentina Klimenok
Copyright Year
2016
Book
Information Technologies and Mathematical Modelling - Queueing Theory and Applications

Print ISBN: 978-3-319-44614-1

Electronic ISBN: 978-3-319-44615-8

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-44615-8_12

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