Effect of non-randomness on random variates and discrete event simulation

In this paper the impact of typical non-randomness artificially duplicated into a random number generator on random variates and resulting use in discrete event simulation is discussed. Normal, Exponential and triangular distributions are studied to understand the effect of non-randomness observed in RANDU type generator on random variate performance. A detailed analysis based on statistical tests is used for hypothesis testing and the findings are expected to help analyze how faulty random number generators used in early Monte Carlo simulations, dozens of research publications which are cited as reference to this day, along with its possible consequences in current research.