There is great difficulty in solving the bulk of basic queueing problems without the use of the heavy traffic or some similar asymptotic approach. There is a wide range of applications in manufacturing, computer and communications networks, general queueing networks, assignment and scheduling etc. By bringing some of the latest methods to the attention of researchers in this timely and important area this comprehensive book should capture a broad audience.

Klappentext

One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.

Inhalt
Models and applications.- Martingales and weak convergence.- Stochastic differential equations.- Invariant measures and the ergodic problem.- The single processor problem.- Uncontrolled networks.- Uncontrolled networks, continued.- State dependence.- Bounded controls.- Singular controls.- Polling and control of polling.- Multiclass scheduling.- References.- Symbol index.- Index.