On the relation between time, space and holding-time distribution functions

Investigates the conditions under which the principal distribution functions used for the calculation of telephone switching equipment, such as those originated by Bernouilli, Poisson, Erlang, and Engset, are valid. This seems appropriate especially in connection with the calculation of the link equipment, in which these functions are often used without discrimination. The problem is set and general conclusions discussed. Various operating conditions are examined. The conclusion is that the validity of the various equations of general application in the calculation of telephone switching equipment mostly depends on the distribution of the originating traffic over the sources. The treatment of the problems is highly mathematical.