Elucidating the short term loss behavior of a DMAP process in random early detection queue with background DBMAP

Given the increasing prominent role of multimedia applications in Internet-based services, elucidating the per-stream short term loss behavior of multimedia traffic in the routers is of priority concern. This work attempts to model both tagged multimedia and background traffic by a discrete-time Markovian arrival process (DMAP) and discrete-time batch Markovian arrival process (DBMAP), respectively. A queuing model is developed for a router with a random early detection (RED) mechanism with both tagged multimedia and background traffic. The queuing model of the router with RED scheme is modeled as DMAP+DBMAP/D/1/K. The short-term characteristics of per-stream multimedia packet drop are then examined through means of conditional statistics with respect to congested and non-congested periods that occur in an alternating manner. Such performance measures refer to the quality of service provided by the router for a particular multimedia traffic stream in the presence of background traffic.