Phase Type Distributions, Volume 2: Theory and Application

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András Horváth (University of Turin, Italy) Miklós Telek (Budapest University of Technology and Economics, Hungary)

Phase Type Distributions, Volume 2

Theory and Application

András Horváth (University of Turin, Italy), Miklós Telek (Budapest University of Technology and Economics, Hungary), Miklós Telek

$273.95

Hardback

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English

ISTE Ltd and John Wiley & Sons Inc
04 November 2024

Applied mathematics

Phase type distributions are widely applicable modeling and statistical tools for non-negative random quantities. They are built on Markov chains, which provide a simple, intuitive stochastic interpretation for their use. Phase Type Distribution starts from the Markov chain-based definition of phase type distributions and presents many interesting properties, which follow from the basic definition.

As a general family of non-negative distributions with nice analytical properties, phase type distributions can be used for approximating experimental distributions by fitting or by moments matching; and, for discrete event simulation of real word systems with stochastic timing, such as production systems, service operations, communication networks, etc. This book summarizes the up-to-date fitting, matching and simulation methods, and presents the limits of flexibility of phase type distributions of a given order.

Additionally, this book lists numerical examples that support the intuitive understanding of the analytical descriptions and software tools that handle phase type distributions.

By: András Horváth (University of Turin Italy), Miklós Telek (Budapest University of Technology and Economics, Hungary), Miklós Telek
Imprint: ISTE Ltd and John Wiley & Sons Inc
Country of Publication: United Kingdom
Weight: 666g
ISBN: 9781848219458
ISBN 10: 1848219458
Pages: 288
Publication Date: 04 November 2024
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

András Horváth is Associate Professor at the University of Turin, Italy. His research interests include analysis and optimization of stochastic models with applications in production systems, service operations, communication networks and systems biology. Miklós Telek is a professor in the Department of Networked Systems and Services at Budapest University of Technology and Economics, Hungary, where he currently heads the Information Systems Research Group of the Hungarian Research Network. His research interests include stochastic performance modeling, analysis and optimization of computer and communication systems.

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Phase Type Distributions, Volume 2

Theory and Application

András Horváth (University of Turin, Italy), Miklós Telek (Budapest University of Technology and Economics, Hungary), Miklós Telek

$273.95

Hardback

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