HEAVY TRAFFIC ANALYSIS OF CONTROLLED QUEUEING AND COMMUNICATION NETWORKS (STOCHASTIC MODELLING AND APPLIED PROBABILITY, VOLUME 47)

The aim of this book is the development of the heavy traffic approach to the modeling and analysis of queueing networks, both controlled and uncontrolled, and many applications to computer, communications, and manufacturing systems. The methods exploit the multiscale structure of the physical problem to get approximating models that have the form of reflected diffusion processes, either controlled or uncontrolled. These ap­ proximating models have the basic structure of the original problem, but are significantly simpler. Much of inessential detail is eliminated (or "av­ eraged out"). They greatly simplify analysis, design, and optimization and yield good approximations to problems that would otherwise be intractable, under broad conditions. Queueing-type processes are ubiquitous occurrences in operations re­ search, and in communications and computer systems. Indeed, it is hard to avoid them in modern technology.