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Two results in the theory of queues

Published online by Cambridge University Press:  14 July 2016

H. Ali
H. Ali*
Affiliation:
The University of the West Indies, St. Augustine, Trinidad
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Summary

In this paper it is shown that the distribution of the instant of service of a customer is symmetric as between the distributions of service and interarrival time. Also U(t), the expected number of departures in (0, t), is a delayed renewal function for the GI/M/1 queue.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 1 , April 1970 , pp. 219 - 226
Copyright
Copyright © Applied Probability Trust 

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References

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