Traffic processes in queueing networks: a Markov renewal approach
Traffic processes in queueing networks: a Markov renewal approach
The departure process of an N/G/1 queue
Performance Evaluation
The impact of autocorrelation on queuing systems
Management Science
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
A note on varying the number of states in the arrival process of MR/GR/1 queue
Computers and Operations Research
Long-Range Dependence: Ten Years of Internet Traffic Modeling
IEEE Internet Computing
Monotone effect of dependency between interarrival and service times in a simple queueing system
Operations Research Letters
On the waiting times in queues with dependency between interarrival and service times
Operations Research Letters
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It is well known that the traffic in computer-communication systems is autocorrelated and the correlation makes an great effect on the performances. So it is important to study the correlated arrival process to better estimate the performances at the system and Markov renewal process is considered here to model the autocorrelated arrival stream. We derive the expected number of packets at arbitrary epoch and expected delay time using supplementary variable method.