Fundamentals of Matrix-Analytic Methods
Autor Qi-Ming Heen Limba Engleză Hardback – 7 aug 2013
New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.
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Specificații
ISBN-13: 9781461473299
ISBN-10: 1461473292
Pagini: 420
Ilustrații: XV, 349 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.69 kg
Ediția:2014
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1461473292
Pagini: 420
Ilustrații: XV, 349 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.69 kg
Ediția:2014
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
From Exponential Distribution to Phase-Type Distribution.- From Poisson Process to Markovian Arrival Process.- From Birth-and-Death Process to Structured Markov Chain.- Applications in Queueing Theory.- Applications in Inventory and Supply Chain Management.
Recenzii
From the book reviews:
“This book is a graduate textbook on matrix-analytic methods. It contains many examples and exercises and should be easily accessible to graduate students. … it serves well not only as an introduction to matrix-analytic methods but also to prepare research students for dealing with open problems.” (Lothar Breuer, Mathematical Reviews, June, 2014)
“The book under review is conceived to cover three fundamental aspects of matrix-analytic methods and two of their important application areas. … The book contains a large number of exercises, some of them being given for readers to review basic calculus, linear algebra, probability theory and matrix theory. … I consider this book as a useful and instructive source for those who are interested in topics related to matrix-analytic methods.” (Gabriel V. Orman, zbMATH, Vol. 1278, 2014)
“This book is a graduate textbook on matrix-analytic methods. It contains many examples and exercises and should be easily accessible to graduate students. … it serves well not only as an introduction to matrix-analytic methods but also to prepare research students for dealing with open problems.” (Lothar Breuer, Mathematical Reviews, June, 2014)
“The book under review is conceived to cover three fundamental aspects of matrix-analytic methods and two of their important application areas. … The book contains a large number of exercises, some of them being given for readers to review basic calculus, linear algebra, probability theory and matrix theory. … I consider this book as a useful and instructive source for those who are interested in topics related to matrix-analytic methods.” (Gabriel V. Orman, zbMATH, Vol. 1278, 2014)
Caracteristici
Presents basic techniques in Matrix-Analytic Methods important to stochastic modeling, including conditional probabilities on the phase of Markov chains, the use of nonnegative matrices and M-matrices Provides a detailed analysis of some queuing, inventory, and supply chain models Includes examples and exercises