Markov Chains
Gibbs Fields, Monte Carlo Simulation, and Queues
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Beschreibung
This book discusses both the theory and applications of Markov chains. The author studies both discrete-time and continuous-time chains and connected topics such as finite Gibbs fields, non-homogeneous Markov chains, discrete time regenerative processes, Monte Carlo simulation, simulated annealing, and queueing networks are also developed in this accessible and self-contained text. The text is firstly an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level. Its primary objective is to initiate the student to the art of stochastic modelling. The treatment is mathematical, with definitions, theorems, proofs and a number of classroom examples which help the student to fully grasp the content of the main results. Problems of varying difficulty are proposed at the close of each chapter. The text is motivated by significant applications and progressively brings the student to the borders of contemporary research. Students and researchers in operations research and electrical engineering as well as in physics, biology and the social sciences will find this book of interest.
This text is an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level. Its primary objective is to initiate the student to the art of stochastic modeling. Mathematical definitions, theorems, proofs, and a number of classroom examples help the student to fully grasp the content of the main results, and problems of varying difficulty are proposed at the end of each chapter. The material is accessible to students who know the basics of probability theory, but a review of probability is included to make the text largely self-contained. It brings students to the borders of current research covering more advanced topics such as Martingales, eigenvalue, Gibbs fields and Monte Carlo techniques.
Autor*in
Pierre Bremaud
Themen in »Markov Chains«
Markov Markov Chains Markov model Martingale Monte Carlo Simulation Stochastic model Stochastic modelling electrical engineering ergodicity linear optimization modeling operations research regenerative process simulation stochastic process