Traffic processes in queueing networks: a Markov renewal approach
Traffic processes in queueing networks: a Markov renewal approach
The impact of autocorrelation on queuing systems
Management Science
A note on varying the number of states in the arrival process of MR/GR/1 queue
Computers and Operations Research
Departure Processes of BMAP/G/1 Queues
Queueing Systems: Theory and Applications
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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The independence of processes in queueing systems is generally assumed when developing queueing models. However, real systems often involve several process dependencies, and failure to take these into consideration can lead to serious underestimation of the performance measures. We consider herein a single server queueing system with a Markov renewal process (MRP) for its arrival process and a general service time distribution, and derive the distribution function and correlation coefficient of the departure process. Since the departure process also often corresponds to an arrival process in downstream queues, the results obtained here can be used to derive a better approximation of the performance measures of a non-product form general queueing network.