Combining Correlated Streams of Nonrandom Traffic

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Abstract
The Equivalent Random method is used for engineering many of the telephone overflow-networks in the Bell System. But since this method is not directly applicable to the analysis of graded-multiple trunk-groups which carry overflow traffic, we extend the method to cover such arrangements. The key to this extension is a technique for taking correlation into account when combining dependent streams of traffic which are themselves more variable than Poisson. In principle, the technique is applicable wherever a stream of overflow traffic is divided, submitted to independent trunk groups, and then recombined. The extended Equivalent Random method provides adequate estimates of load-service relations for graded multiples which carry overflow traffic, provided the grading capacity is not substantially influenced by the network that precedes the grading.

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