Geodesic
The Probability of Loss of Calls in Heavy Traffic
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 1, pp. 99-104

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The full availability group of trunks with an arbitrary distribution of the inter-arrival times and a negative exponential holding time distribution is considered. The possibility of evaluating the probability of loss of calls by Erlang's formula, as a first approximation, is established under very general conditions on streams with high intensity, when not very strict requirements on the quality of service are made. 
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     author = {O. V. Viskov and Yu. V. Prohorov},
     title = {The {Probability} of {Loss} of {Calls} in {Heavy} {Traffic}},
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O. V. Viskov; Yu. V. Prohorov. The Probability of Loss of Calls in Heavy Traffic. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 1, pp. 99-104. http://geodesic.mathdoc.fr/item/TVP_1964_9_1_a8/