Calculation of Some Functions Arising in Problems of Queueing and Communications Traffic

Useful formulas are developed for the iterative calculation of the inverse of blocking probability for Erlang loss and Erlang delay systems, and for the determination of offered traffic and blocking probability for Erlang loss systems when the carried traffic and number of servers are given. These formulas which arise in many problems of queueing and communications traffic can be easily programmed. In tests they gave rapid convergence to high accuracy over a broad range of parameter values much greater than the range of usual display.