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A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach Read chapter Read first chapter

2015 | OriginalPaper | Chapter

On a Flow of Repeated Customers in Stable Tandem Cyclic Queueing Systems

Authors : Andrei V. Zorine, Vladimir A. Zorin

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

Publisher: Springer International Publishing

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Abstract

We investigate tandem queueing systems with control of conflicting input flows using cyclic algorithms with readjustments. Input flows are modulated by a finite-state synchronous Markov chain. Customers arrive in Poisson flows of batches with intensities and batch size distributions determined by the environment. All serviced customers from the first input flow and randomly selected serviced customers from the second conflicting input flow in the first system are transferred with random speeds to the second queueing system. We develop a numerical algorithm to evaluate the stationary probability distribution for the number of customers joining the transfer queue at each stage of servers’ operation.

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Metadata
Title
On a Flow of Repeated Customers in Stable Tandem Cyclic Queueing Systems
Authors
Andrei V. Zorine
Vladimir A. Zorin
Copyright Year
2015
Book
Information Technologies and Mathematical Modelling - Queueing Theory and Applications

Print ISBN: 978-3-319-25860-7

Electronic ISBN: 978-3-319-25861-4

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-25861-4_10

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