Publisher's Synopsis
This book provides a systematic discussion of Brownian motion and its stochastic calculus, developing the mathematical methods needed to analyze stochastic processes related to Brownian motion and showing how these methods are used to model and analyze various stochastic flow systems such as queueing and inventory systems. Emphasis is placed on the stochastic calculus and models used in engineering, economics and operations research.;Topics include stochastic models of buffered flow, the backward and forward equations, hitting time problems, regulated Brownian motion, optimal control of Brownian motion and optimizing flow system performance.
