Regenerative Simulation of Response Times in Networks of Queues
Journal of the ACM (JACM)
Passage time distributions for a class of queueing networks: closed, open, or mixed, with difference classes of customers with applications to computer system modeling
IEEE Transactions on Computers
On the Cycle Time Distribution in a Two-Stage Cyclic Network with Blocking
IEEE Transactions on Software Engineering
The Time for a Round Trip in a Cycle of Exponential Queues
Journal of the ACM (JACM)
The Product Form for Sojourn Time Distributions in Cyclic Exponential Queues
Journal of the ACM (JACM)
Formulas and representations for cyclic Markovian networks via Palm calculus
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
On the correlation of sojourn times in open networks of exponential multiserver queues
Queueing Systems: Theory and Applications
An exact analysis of the distribution of cycle times in a class of queueing networks
SIGMETRICS '83 Proceedings of the 1983 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Approximating passage time distributions in queueing models by Bayesian expansion
Performance Evaluation
Cycle times in single server cyclic Jackson networks
Operations Research Letters
Dependence structure of sojourn times via partition separated ordering
Operations Research Letters
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The cycle time distribution of a cyclic queue with two exponential servers is derived. Results show that when the population size N is large enough, the cycle time distribution is not sensitive to the ratio of service rates and asymptotically approaches an Erlangian distribution. If service rates are identical, however, the cycle time has an exact Erlangian distribution for any N.