Queuing analysis of polling models
ACM Computing Surveys (CSUR)
Two queues with alternating service and server breakdown
Queueing Systems: Theory and Applications
Polling systems with station breakdowns
Performance Evaluation
Mean value analysis for polling systems
Queueing Systems: Theory and Applications
Polling systems with a gated/exhaustive discipline
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Sojourn times in polling systems with various service disciplines
Performance Evaluation
Mixed gated/exhaustive service in a polling model with priorities
Queueing Systems: Theory and Applications
Polling models with two-stage gated service: fairness versus efficiency
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
Fairness and efficiency for polling models with the κ-gated service discipline
Performance Evaluation
Waiting times in queueing networks with a single shared server
Queueing Systems: Theory and Applications
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In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this model we study the joint queue length distribution at polling epochs and at the server's departure epochs. We also study the marginal queue length distribution at arrival epochs, as well as at arbitrary epochs (which is not the same in general, since we cannot use the PASTA property). A generalised version of the distributional form of Little's law is applied to the joint queue length distribution at customer's departure epochs in order to find the waiting time distribution for each customer type. We also provide an alternative, more efficient way to determine the mean queue lengths and mean waiting times, using Mean Value Analysis. Furthermore, we show that under certain conditions a Pseudo-Conservation Law for the total amount of work in the system holds. Finally, typical features of the model under consideration are demonstrated in several numerical examples.