| Titre : |
Numerical Methods for Solving Discrete Event Systems : With Applications to Queueing Systems |
| Type de document : |
texte imprimé |
| Auteurs : |
Winfried k. Grassmann, Auteur ; Javad Tavakoli, Auteur |
| Editeur : |
Cham : Springer nature Switzerland AG |
| Année de publication : |
2022 |
| Collection : |
CMS/CAIMS Books in Mathematics, ISSN 2730-650X num. 5 |
| Importance : |
359 p. |
| Présentation : |
illu. |
| Format : |
24 cm. |
| ISBN/ISSN/EAN : |
978-3-031-10081-9 |
| Langues : |
Anglais (eng) |
| Catégories : |
MATHÉMATIQUES:Analyse numérique
|
| Mots-clés : |
math-analyse-systéme-calcule. |
| Index. décimale : |
04-06 Analyse numérique |
| Résumé : |
En 4e de couverture : "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." |
Numerical Methods for Solving Discrete Event Systems : With Applications to Queueing Systems [texte imprimé] / Winfried k. Grassmann, Auteur ; Javad Tavakoli, Auteur . - Cham : Springer nature Switzerland AG, 2022 . - 359 p. : illu. ; 24 cm.. - ( CMS/CAIMS Books in Mathematics, ISSN 2730-650X; 5) . ISBN : 978-3-031-10081-9 Langues : Anglais ( eng)
| Catégories : |
MATHÉMATIQUES:Analyse numérique
|
| Mots-clés : |
math-analyse-systéme-calcule. |
| Index. décimale : |
04-06 Analyse numérique |
| Résumé : |
En 4e de couverture : "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." |
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