Numerical Methods for Simulation and Optimization of Piecewis... - 9781848218390

Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov ProcessesApplication to Reliability\nAuthor(s): Benote de Saporta, Franois Dufour, Huilong Zhang\nFormat: Hardback\nPublisher: ISTE Ltd and John Wiley & Sons Inc, United Kingdom\nImprint: ISTE Ltd and John Wiley & Sons Inc\nISBN-13: 9781848218390, 978-1848218390\nSynopsis\nMark [url] Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs.\n\n This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problem.