search for: jagerman

...a ) = ( a^n/n! ) / ( 1 + a + a^2/2 + a^3/3! + ... + a^n/n!) for all real numbers a>=0 and all integers n>=0 (except that the function is undefined when BOTH n and a are zero). The function can be extended analytically to non-integral values of n by various means. The basic reference is: Jagerman, D. L. (1974), "Some properties of the Erlang loss function", Bell System Tech. J. (53), 525-551. The Erlang Loss Function is important in queueing theory, especially in telecom applications. One use is in computing the blockage in the M/M/c/c queue (Poisson arrivals, exponential ser...