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This paper presents the comparative results of several test runs involving the use of several unit uniform random number generators with an inverse transform to generate Erlang random variates with &lgr;&equil;1 and k &equil; 3, 4, 5, and 6. The results show that two commonly used generators (a multiplicative and a mixed one) produce unacceptable results. Two others (an additive one and a multiplicative one) produce acceptable results. The computer system used is an IBM 370/3033.

Additive vs multiplicative uniform pseudo-random number generators in the generation of Erlang variates