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- W2114799265 abstract "In a queueing system with two independent input streams, as exists, for example, when first-routed and overflow traffic streams are offered to a common sender-group, the state of the system encountered by the two different types of customers upon their arrival will generally be different. Consequently, in a system where delayed customers wait for service, the service rendered to the individual streams may also be different. The delay distribution in a single-server queue for each type of customer is derived under the assumption that one stream is Poissonian and the other is described by a renewal process. The difference in service received by the two streams is examined with the aid of numerical examples for two interarrival time distributions of the renewal stream. We show for two cases that a practical indicator of service received by the renewal customers is the coefficient of variation of their interarrival time distribution. If the coefficient is less than unity, then the renewal customers receive better service than the Poissonian customers. The converse is true when the coefficient exceeds unity. The stationary distribution of the number of busy servers in an infinite-server system as seen by the two types of customers is also derived." @default.
- W2114799265 created "2016-06-24" @default.
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- W2114799265 date "1972-07-08" @default.
- W2114799265 modified "2023-10-14" @default.
- W2114799265 title "Queues With Mixed Renewal and Poisson Inputs" @default.
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- W2114799265 doi "https://doi.org/10.1002/j.1538-7305.1972.tb02654.x" @default.
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