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Applied Stochastic System Modeling (Paperback, Softcover reprint of the original 1st ed. 1992)
Loot Price: R1,477
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Applied Stochastic System Modeling (Paperback, Softcover reprint of the original 1st ed. 1992)
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This book was written for an introductory one-semester or
two-quarter course in stochastic processes and their applications.
The reader is assumed to have a basic knowledge of analysis and
linear algebra at an undergraduate level. Stochastic models are
applied in many fields such as engineering systems, physics,
biology, operations research, business, economics, psychology, and
linguistics. Stochastic modeling is one of the promising kinds of
modeling in applied probability theory. This book is intended to
introduce basic stochastic processes: Poisson pro cesses, renewal
processes, discrete-time Markov chains, continuous-time Markov
chains, and Markov-renewal processes. These basic processes are
introduced from the viewpoint of elementary mathematics without
going into rigorous treatments. This book also introduces applied
stochastic system modeling such as reliability and queueing
modeling. Chapters 1 and 2 deal with probability theory, which is
basic and prerequisite to the following chapters. Many important
concepts of probabilities, random variables, and probability
distributions are introduced. Chapter 3 develops the Poisson
process, which is one of the basic and im portant stochastic
processes. Chapter 4 presents the renewal process. Renewal
theoretic arguments are then used to analyze applied stochastic
models. Chapter 5 develops discrete-time Markov chains. Following
Chapter 5, Chapter 6 deals with continuous-time Markov chains.
Continuous-time Markov chains have im portant applications to
queueing models as seen in Chapter 9. A one-semester course or
two-quarter course consists of a brief review of Chapters 1 and 2,
fol lowed in order by Chapters 3 through 6."
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