Heavy Traffic Analysis of Controlled Queueing and Communication Networks
Publisher: Springer
Published: Nov 17, 2013
Format: paperback
Number of pages: 534
ISBN-13: 9781461265412
Description: This book provides a thorough development of the powerful methods of heavy traffic analysis and approximations with applications to a wide variety of stochastic (e.g. queueing and communication) networks, for both controlled and uncontrolled systems. The approximating models are reflected stochastic differential equations. The analytical and numerical methods yield considerable simplifications and insights and good approximations to both path properties and optimal controls under broad conditions on the data and structure. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest. Control problems in telecommunications and applications to scheduling, admissions control, polling, and elsewhere are treated. The necessary probability background is reviewed, including a detailed survey of reflected stochastic differential equations, weak convergence theory, methods for characterizing limit processes, and ergodic problems.
Notes: Source title: Heavy Traffic Analysis of Controlled Queueing and Communication Networks (Stochastic Modelling and Applied Probability (47))