Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
Recently, P. A. Lewis, A. S. Goodman, and J. M. Miller carried out extensive statistical tests on a random number generator of congruential type [3]. They showed that this generator has good statistical properties. Based on a careful analysis of the number theoretical properties of a class of generators, of which the above is a member, we have significantly increased its speed. For example, on the IBM 360/67 the time per calculation of one random number has been reduced from 14.25 μs to 9.25 μs and on the IBM 360/91 from 3.25 μs to 1.3 μs. The modified generator owes its increased speed to a replacement of a division operation by an addition and two shift instructions and the removal of a subsequent overflow test. © 1970 Springer-Verlag.
Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
Indranil R. Bardhan, Sugato Bagchi, et al.
JMIS
Alessandro Morari, Roberto Gioiosa, et al.
IPDPS 2011
Yigal Hoffner, Simon Field, et al.
EDOC 2004