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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

Synergetic Effects for Number of Busy Servers in Multiserver Queuing Systems

Authors : Gurami Tsitsiashvili, Marina Osipova

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

Publisher: Springer International Publishing

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Abstract

In this paper we concretize a condition when an aggregation of n oneserver queuing systems into multiserver system for \(n\rightarrow \infty \) leads to an disappearance of a queue (in some probabilistic sense) and to a transformation of multiserver system into a system with infinite number of servers. An initial oneserver system is a system with Poisson input flow or with some modifications of this flow like a regular flow without an aftereffect or with Poisson flow in a random environment. Such formulation of a problem is connected with a large number of articles devoted to a modeling of computer networks by queuing systems with infinite number of servers and to a justification of these models application for real networks with finite number of servers.

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previous chapter Analyzing Blocking Probability in LTE Wireless Network via Queuing System with Finite Amount of Resources
next chapter Fractal Queues Simulation Peculiarities
Literature
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Metadata
Title
Synergetic Effects for Number of Busy Servers in Multiserver Queuing Systems
Authors
Gurami Tsitsiashvili
Marina Osipova
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_34

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