Waiting Lines and Times in a System with Polling
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Performance Evaluation of Cyclic Service Strategies - A Survey
Performance '84 Proceedings of the Tenth International Symposium on Computer Performance Modelling, Measurement and Evaluation
An approximate method for treating a class of multiqueue problems
IBM Journal of Research and Development
Local distribution in computer communications
IEEE Communications Magazine
Application note: LAN-based medical visualization communication system
Computer Communications
Research: Message delay for a priority-based automatic meter reading network
Computer Communications
Average waiting time of a symmetric polling system under Bernoulli scheduling
Operations Research Letters
Operations Research Letters
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Consider a symmetrical system of n queues served in cyclic order by a single server. It is shown that the stationary number of customers in the system is distributed as the sum of three independent random variables, one being the stationary number of customers in a standard M/G/1 queue. This fact is used to establish an upper bound for the mean waiting time for the case where at most k customers are served at each queue per visit by the server. This approach is also used to rederive the mean waiting times for the cases of exhaustive service, gated service, and serve at most one customer at each queue per visit by the server.