Applied Stochastic System Modeling

Shunji Osaki

ISBN 10: 3540549277 / ISBN 13: 9783540549277

Verlag: Springer-Verlag, 1992

Beschreibung

Ex library with typical labeling on cover, spine, inside cover; inside pages crisp and unmarked. Some rubbing and wear on edges and corners. Bestandsnummer des Verkäufers 1127084

Bibliografische Details

Titel: Applied Stochastic System Modeling

Verlag: Springer-Verlag

Erscheinungsdatum: 1992

Einband: Hard cover

Zustand: Good

Zustand des Schutzumschlags: No jacket

Über diesen Titel

Reseña del editor:

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.