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On a BMAP/G/1 Retrial System with Two Types of Search of Customers from the Orbit Read chapter Read first chapter

2017 | OriginalPaper | Chapter

On the Total Customers’ Capacity in Multi-server Queues

Authors : Ekaterina Lisovskaya, Svetlana Moiseeva, Michele Pagano

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

Publisher: Springer International Publishing

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Abstract

In this paper we consider a generalization of M/GI/N/\(\infty \) queues, in which customer capacity is an additional parameter of the system and it is independent of the service time. In more detail we focus on the distributions of the total capacity of customers in the different elements of the queue (waiting line, service and entire system) and provide approximate expressions for the corresponding characteristic functions. To verify the goodness of the proposed approximation, several sets of simulations have been carried out, considering discrete and continuous distributions of the customer capacity and using the Kolmogorov distance as a measure of similarity.

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previous chapter Two-Server Queueing System with Unreliable Servers and Markovian Arrival Process
next chapter On the Problems of Queues in Mixed Type Queuing Systems with Random Quantity of Sources and Size-Limited Queues
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Metadata
Title
On the Total Customers’ Capacity in Multi-server Queues
Authors
Ekaterina Lisovskaya
Svetlana Moiseeva
Michele Pagano
Copyright Year
2017
Book
Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Print ISBN: 978-3-319-68068-2

Electronic ISBN: 978-3-319-68069-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-68069-9_5

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