By Ward Whitt

This ebook is set stochastic-process limits - limits within which a chain of stochastic methods converges to a different stochastic approach. those are necessary and fascinating simply because they generate easy approximations for sophisticated stochastic techniques and likewise aid clarify the statistical regularity linked to a macroscopic view of uncertainty. This ebook emphasizes the continuous-mapping method of receive new stochastic-process limits from formerly demonstrated stochastic-process limits. The continuous-mapping method is utilized to acquire heavy-traffic-stochastic-process limits for queueing types, together with the case within which there are unrivaled jumps within the restrict strategy. those heavy-traffic limits generate basic approximations for classy queueing procedures they usually exhibit the influence of variability upon queueing functionality.