Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication by N.U. Prabhu
Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication (Stochastic Modelling and Applied Probability) by N.U. Prabhu
English | Sep. 27, 2012 | ISBN: 1461272602 | 217 Pages | PDF | 6 MB
English | Sep. 27, 2012 | ISBN: 1461272602 | 217 Pages | PDF | 6 MB
A self-contained treatment of stochastic processes arising from models for queues, insurance risk, and dams and data communication, using their sample function properties. This second edition includes results for the virtual waiting time and queue length in single server queues, while the treatment of continuous time storage processes is thoroughly revised and simplified. With its prerequisite of a graduate-level course in probability and stochastic processes, this book can be used as a text for an advanced course on applied probability models. The approach is based on the fluctuation theory of random walks, L vy processes, and Markov-additive processes, in which Wiener-Hopf factorisation plays a central role.