Achievability of combined GOS requirements in broadband networks

Conservation laws to investigate the achievability of performance objectives in broadband networks are developed. Conservation laws for delay presented so far assumed infinite buffer size. No conservation laws for delay with finite buffer were established. In the present work, it is shown that the conservation law for combining scheduling and pushout mechanisms is represented as a two-dimensional region, rather than as a line, in the two-dimensional plane. In this case, the classical mixing strategies of E. Gelenbe and I. Mitrani (1980) may not be used to achieve the performance objectives. Therefore, there is a need for some other control strategies in order to satisfy both delay and loss performance objectives. On the basis of these conservation laws, the authors provide a dynamic queueing discipline that achieves the specified objectives, if the objectives can be satisfied, and treats the various workload classes fairly, if they cannot