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Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation)

Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation)

Numerical Methods for Structured Markov Chains (Numerical Mathematics and
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Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation) Hardback - 2005

by Bini, Dario A.; Latouche, Guy; Meini, Beatrice

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  • Title Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation)
  • Author Bini, Dario A.; Latouche, Guy; Meini, Beatrice
  • Binding Hardback
  • Edition First edition
  • Condition New
  • Pages 340
  • Volumes 1
  • Language ENG
  • Publisher OUP Oxford, Oxford
  • Publication date 2005-04-14
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # 3225146
  • ISBN 9780198527688 / 0198527683
  • Weight 1.44 lbs (0.65 kg)
  • Dimensions 9.21 x 6.14 x 0.81 in (23.39 x 15.60 x 2.06 cm)
  • Category Mathematics
  • Library of Congress subjects Markov processes - Numerical solutions
  • Library of Congress Catalogue Number 2005273799
  • Dewey Decimal Code 519.233
  • Quantity available 5

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From the publisher

Intersecting two large research areas--numerical analysis and applied probability/quering theory--this book is a self -contained introduction to the numerical solution of structured Markov chains, which have a wide applicability in queueing theory and stochastic modeling. Aimed at graduates and researchers in numerical analysis, applied mathematics, probability, engineering and computer science it provides a thorough overview of the current literature. The book, consisting of nine chapters, is presented in three parts. Part 1 covers a basic description of the fundamental concepts related to Markov chains, a systematic treatment of the structure matrix tools, including finite Toeplitz matrices, displacement operators, FFT, and the infinite block Toeplitz matrices, their relationship with matrix power series and the fundamental problems of solving matrix equations can computing canonical factorizations. Part 2 deals with the description and analysis of structure Markov chains and includes M/G/1, quasi-birth0death processes, non-skip-free queries and tree-like processes. Part 3 covers solution algorithms where new convergence and applicability results are proved. Each chapter ends with bibliographic notes for further reading, and the book ends with an appendix collecting the main general concepts and results used in the book, a list of the main annotations and algorithms used in the book, and an extensive index.

About the author

Dario A. Bini: Associate Editor of SIAM Journal on Matrix Analysis and Applications
Member of the Editorial Board of the journal Calcolo by Springer Verlag

Guy Latouche: Associate Editor of Advances in Performance Analysis

Beatrice Meini: Member of the Editorial Board of the journal Stochastic Models,
Marcel Dekker

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