In earlier forewords to the books in this series on Discrete Event Dynamic Systems (DEDS) we
have dwelt on the pervasive nature of DEDS in our human-made world. From manufacturing plants
to computer communication networks from traffic systems to command-and-control modern
civilization cannot function without the smooth operation of such systems. Yet mathemat ical
tools for the analysis and synthesis of DEDS are nascent when compared to the well developed
machinery of the continuous variable dynamic systems char acterized by differential equations.
The performance evaluation tool of choice for DEDS is discrete event simulation both on account
of its generality and its explicit incorporation of randomness. As it is well known to students
of simulation the heart of the random event simulation is the uniform random number generator.
Not so well known to the practitioners are the philosophical and mathematical bases of
generating random number sequence from deterministic algorithms. This editor can still recall
his own painful introduction to the issues during the early 80's when he attempted to do the
first perturbation analysis (PA) experiments on a per sonal computer which unbeknownst to him
had a random number generator with a period of only 32 768 numbers. It is no exaggeration to
say that the development of PA was derailed for some time due to this ignorance of the
fundamentals of random number generation.
