Two results in the theory of queues

Author:

Ali H.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the departure processes of M/M/1/N and GI/G/1/N queues;Advances in Applied Probability;1992-09

2. Expected number of departures in M/M/1 and G/G/1 queues;Advances in Applied Probability;1990-09

3. On the use of a fundamental identity in the theory of semi-Markov queues;Advances in Applied Probability;1972-08

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