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2019 | OriginalPaper | Chapter

Queues with Choice from a Symmetry Perspective

Author : Juancho A. Collera

Published in: Progress in Industrial Mathematics at ECMI 2018

Publisher: Springer International Publishing

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Abstract

Recently, a deterministic queueing model where in customers are given the opportunity to choose between two queues was introduced. The information provided to the customers is not up-to-date but instead customers were given the queue length information some time units in the past. This time delay impacts the dynamical behavior of the queues and hence the decision-making process of the customers. We revisit this queues-with-choice model from a symmetry perspective. We show that the symmetry structure of the model can be used to classify the types and kinds of solutions that can occur. In particular, our results explain why only asynchronous periodic solutions and symmetric equilibrium solutions arise in such model, while synchronous periodic solutions and asymmetric equilibrium solutions do not occur. Our method can also be applied to study similar models with larger number of queues.

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Literature
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Metadata
Title
Queues with Choice from a Symmetry Perspective
Author
Juancho A. Collera
Copyright Year
2019
Book
Progress in Industrial Mathematics at ECMI 2018

Print ISBN: 978-3-030-27549-5

Electronic ISBN: 978-3-030-27550-1

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-27550-1_68

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