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On a telephone traffic system with several kinds of service distributions

Published online by Cambridge University Press:  14 July 2016

Joseph L. Gastwirth
Joseph L. Gastwirth*
Affiliation:
Columbia University, New York
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Extract

Let us suppose that telephone calls arrive at a telephone exchange according to a recurrent process. We shall assume that there are infinitely many lines available and that, therefore, no call is ever lost. Ordinarily, it is assumed that the holding times (the durations of the connections) are identically distributed, independent, random variables with an exponential distribution. The American folklore, however, assumes that women talk more than men. In this paper, we shall consider the possibility of calls requiring one of several (s) different exponential holding times.

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 1 , June 1964 , pp. 77 - 84
Copyright
Copyright © Applied Probability Trust 1964 

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References

[1] Takács, L. (1958) On a coincidence problem concerning telephone traffic. Acta Math. Acad. Sci. Hung. 9, 45–81.Google Scholar
[2] Takács, L. (1962) Introduction to the Theory of Queues. Oxford Univ. Press, New York.Google Scholar