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Catalogue Information
Field name	Details
Dewey Class	518
Title	Numerical Methods for Solving Discrete Event Systems ( EBook) : With Applications to Queueing Systems / / by Winfried Grassmann, Javad Tavakoli.
Author	Grassmann, Winfried
Added Personal Name	Tavakoli, Javad
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	XIV, 362 p. 4 illus., 2 illus. in color. : online resource.
Series	CMS/CAIMS Books in Mathematics 2730-6518 ; ; 5
ISBN	9783031100826
Summary Note	This graduate textbook provides an alternative to discrete event simulation. It describes how to formulate discrete event systems, how to convert them into Markov chains, and how to calculate their transient and equilibrium probabilities. The most appropriate methods for finding these probabilities are described in some detail, and templates for efficient algorithms are provided. These algorithms can be executed on any laptop, even in cases where the Markov chain has hundreds of thousands of states. This book features the probabilistic interpretation of Gaussian elimination, a concept that unifies many of the topics covered, such as embedded Markov chains and matrix analytic methods. The material provided should aid practitioners significantly to solve their problems. This book also provides an interesting approach to teaching courses of stochastic processes. .:
Contents note	Basic Concepts and Definitions -- Systems with Events Generated by Poisson or by Binomial Processes -- Generating the Transition Matrix -- Systems with Events Created by Renewal Processes -- Systems with Events Created by Phase-type Processes -- Computational Complexity and Rounding and Truncation Errors -- Transient Solutions of Markov Chains -- Moving Toward the Statistical Equilibrium -- Equilibrium Solutions of Markov Chains and Related Topics -- Reducing the State Space Through Censoring and Embedding -- Systems with Independent or Almost Independent Components -- Infinite-State Markov Chains and Matrix Analytic Methods.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-10082-6
Links to Related Works	Subject References: Mathematics . Numerical Analysis . Probabilities . Probability Theory . Stochastic Processes . Authors: author . Grassmann, Winfried . Tavakoli, Javad . Corporate Authors: SpringerLink (Online service) . Series: CMS/CAIMS Books in Mathematics . Classification: 518 .

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Numerical Methods for Solving Discrete Event Systems: With Applications to Queueing Systems /

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