Generators of Some Kinds Random Erlang Numbers and Estimation of Their Complexity

In this article we propose mathematically justification the methods of computer-generated random numbers with Erlang distribution. Such generators are widely used to simulate complex production systems with a stochastic and probabilistic nature of operation. A method for improving the Erlang number generator is proposed when the stability parameter is an integer. Based on the Johnk algorithm, the Erlang number generator is built in the case where the stability parameter is a fraction number, and its complexity is estimated. The method of generating Erlang numbers is proposed if stability parameter is a mixed number.