This paper investigates an ATM multiplexer with a resume level, which uses a selective cell discarding strategy as a priority control, and a Markov-modulated deterministic process (MMDP) as the burst input traffic. Assuming that a system is loaded with a superposition of several independent and homogeneous On-Off bursty sources with two priority classes, we obtain the cell loss probability of each priority class of an ATM multiplexer with a resume level. The performance analysis derived here includes as special cases one without priority and one with a threshold level. From the numerical results, we compare the cell loss probability, the mean queue length, the mean queuing delay, the level crossing rate, and the queue length distribution at the embedded points for the case of a threshold level with those for the case of a resume level. By selecting an appropriate resume level, we can reduce the sensitive state change around the threshold level.

We study an asynchronous transfer mode (ATM) multiplexer with selective cell discarding (SCD), and propose as a new traffic parameter the ratio of high and low priority cell streams when a cell stream multiplexed is classified by the cell loss priority (CLP) field in a cell header. By having loss priority control, it is possible to increase the multiplexing gain. For performance analysis we assume that an on-of T bursty traffic is described with several traffic parameters and the proposed priority ratio, and is approximately modeled by a Markov-modulated deterministic process (MMDP). Assuming that several independent and homogeneous on-off bursty traffics with priority discrimination are multiplexed, we present an analytical procedure for the cell loss probability of each priority level in statistical cell multiplexing with loss priority control, and use the performance results for connection admission control (CAC). Also, we consider the effect of the proposed priority ratio. Although loss priority control increases the statistical multiplexing gain, it is not appropriate for the on-off bursty traffic to change the value of the high-priority ratio in order to obtain a larger multiplexing gain, since the admissible load is determined by the loss probability of low priority traffic for most cases and the values of the ratio in a certain range slightly affect it.