Stochastic Models of Systems / Edition 1

Stochastic Models of Systems / Edition 1

Pub. Date:
Springer Netherlands


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Stochastic Models of Systems / Edition 1

In this monograph shastic models of systems analysis are discussed. It covers many aspects and different stages from the construction of mathematical models of real systems, through mathematical analysis of models based on simplification methods, to the interpretation of real shastic systems.
The shastic models described here share the property that their evolutionary aspects develop under the influence of random factors. It has been assumed that the evolution takes place in a random medium, i.e. unilateral interaction between the system and the medium. As only Markovian models of random medium are considered in this book, the shastic models described here are determined by two processes, a switching process describing the evolution of the systems and a switching process describing the changes of the random medium.
Audience: This book will be of interest to postgraduate students and researchers whose work involves probability theory, shastic processes, mathematical systems theory, ordinary differential equations, operator theory, or mathematical modelling and industrial mathematics.

Product Details

ISBN-13: 9780792356066
Publisher: Springer Netherlands
Publication date: 02/28/1999
Series: Mathematics and Its Applications , #469
Edition description: 1999
Pages: 185
Product dimensions: 6.10(w) x 9.25(h) x 0.39(d)

Table of Contents

Preface. 1. Introduction. 2. Markov renewal processes. 3. Phase merging algorithms. 4. Evolutional shastic system in a random medium. 5. Diffusion approximation of Markov queueing systems and networks. References. Index.

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