We discuss how long range dependence can innuence the characteristics of a single server queue. We take the analogue of the G/M/1 queue except that the input stream is altered to exhibit long range dependence. The equilibrium queue size and equilibrium waiting time distributions each have heavy tails. By suitably selecting the parameters of the inputs, the queue size or waiting time can be made...

The EPRCA (Enhanced Proportional Rate Control Algorithm) is a leading congestion control protocol for Available Bit Rate (ABR) service in ATM networks. This paper shows that this protocol is only marginally stable: once a queue is congested, then its queue size will eventually decrease. However, if a queue is not congested, its queue size can actually increase and a congestion can be self-induc...

The EPRCA (Enhanced Proportional Rate Control Algorithm) is a leading congestion control protocol for Available Bit Rate (ABR) service in ATM networks. Even though the EPRCA has been adopted by the ATM forum as the standard for ABR congestion control, we show that this protocol is only marginally stable. The stability analysis presented in this paper does not consider interactions among network...

Several Active Queue Management (AQM) techniques for routers in the Internet have been proposed and studied during the past few years. One of the widely studied proposals, Random Early Detection (RED), involves dropping an incoming packet with some probability based on the estimated average queue length at the router. The analytical approaches to obtaining average drop probabilities in a RED en...

a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

Active Queue Management (AQM) plays an important role in the Internet congestion control. It tries to enhance congestion control, and to achieve tradeoff between bottleneck utilization and delay. Random Early Detection (RED) is the most popular active queue management algorithm that has been implemented in the in Internet routers and is trying to supply low delay and low packet loss. RED al...

We consider both a cooperative as well as non-cooperative admission into an M/M/1 queue. The only information available is a signal that sais whether the queue size is smaller than some L or not. We first compute the globally optimal and the Nash equilibrium stationary policy as a function of L. We compare the performance to that of full information on the queue size. We identify the L that opt...