Applied probability and stochastic processes

This book presents applied probability and stochastic processes in an elementary but mathematically precise manner, with numerous examples and exercises toillustrate the range of engineering and science applications of the concepts.The book is designed to give the reader an intuitive understanding of probabilistic reasoning, in addition to an understanding of mathematical concepts andprinciples. The initial chapters present a summary of probability and statistics and then Poisson processes, Markov chains, Markov processes and queuing processes are introduced. Advanced topics include simulation, inventory theory, replacement theory, Markov decision theory, and the use of matrix geometric procedures in the analysis of queues. Included in the second edition are appendices at the end of several chapters giving suggestions for the use of Excel in solving the problems of the chapter. Also new in this edition are an introductory chapter on statistics and a chapter on Poisson processes that includes some techniques used in risk assessment. The old chapter on queues has been expanded and broken into two new chapters: one for simple queuing processes and onefor queuing networks. Support is provided through the web site http://apsp.tamu.edu where students will have the answers to odd numbered problems and instructors will have access to full solutions and Excel files for homework. "Givesthe reader an intuitive understanding of probabilistic reasoning as well as an understanding of mathematical concepts Presents stochastic process in an elementary but mathematically precise manner Numerous examples and exercises; newchapter on Poisson Processes and an introductory chapter on statistics that includes a section on risk assessment Chapter on queues has been expanded into two chapters: one for simple queuing processes and one for queuing networks INDICE: Basic Probability Review.- Basic of Monte Carlo Simulation.- BasicStatistical Review.- Poisson Processes.- Markov Chains.- Markov Processes.- Queueing Processes.- Queueing Networks.- Event-Driven Simulation and Output Analyses.- Inventory Theory.- Replacement Theory.- Markov Decision Processes.- Advanced Queues.- Matrix Review.- Index.

• ISBN: 978-3-642-05155-5
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 400
• Fecha Publicación: 20/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés