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TestU01: A C library for empirical testing of random number generators
We introduce TestU01, a software library implemented in the ANSI C language, and offering a collection of utilities for the empirical statistical testing of uniform random number generators (RNGs).Expand
Modeling Daily Arrivals to a Telephone Call Center
TLDR
Stochastic models of time-dependent arrivals are developed, with focus on the application to call centers, including the essential features of the arrival process, the goodness of fit of the estimated models, and the sensitivity of various simulated performance measures of the call center to the choice of arrival process model. Expand
Efficient and portable combined random number generators
  • P. L'Ecuyer
  • Computer Science, Mathematics
  • CACM
  • 1 June 1988
TLDR
An efficient way to combine two or more Multiplicative Linear Congruential Generators (MLCGs) is presented and a generator whose period is the least common multiple of the individual periods is produced. Expand
Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators
TLDR
This work made extensive computer searches for good parameter sets, with respect to the spectral test, for combined multiple recursive generators of different sizes, and gives a specific code in C that is faster than previous implementations of similar generators. Expand
An Object-Oriented Random-Number Package with Many Long Streams and Substreams
TLDR
A portable set of software utilities is described for uniform random-number generation that provides for multiple generators streams running simultaneously, and each generator stream has its sequence of numbers partitioned into many long disjoint contiguous substreams. Expand
Improved long-period generators based on linear recurrences modulo 2
TLDR
This article proposes new generators of that form with better equidistribution and “bit-mixing” properties for equivalent period length and speed and illustrates how this can reduce the impact of persistent dependencies among successive output values, which can be observed in certain parts of the period of gigantic generators such as the Mersenne twister. Expand
Tables of linear congruential generators of different sizes and good lattice structure
  • P. L'Ecuyer
  • Mathematics, Computer Science
  • Math. Comput.
  • 1999
TLDR
This work provides sets of parameters for multiplicative linear congruential generators (MLCGs) of different sizes and good performance with respect to the spectral test and lists of multipliers a such that the MLCG with modulus m and multiplier a has a good lattice structure in dimensions 2 to 32. Expand
Maximally equidistributed combined Tausworthe generators
  • P. L'Ecuyer
  • Computer Science, Mathematics
  • Math. Comput.
  • 1996
TLDR
This paper shows how to find maximally equidistributed combinations in an efficient manner, and gives a list of generators with that property. Expand
Uniform random number generation
  • P. L'Ecuyer
  • Computer Science, Mathematics
  • Ann. Oper. Res.
  • 1 December 1994
TLDR
Practical ways of generating uniform variates for several classes of generators, such as linear congruential, multiple recursive, digital multistep, Tausworthe, lagged-Fibonacci, generalized feedback shift register, matrix, linear Congruential over fields of formal series, and combined generators are examined. Expand
Tables of maximally equidistributed combined LFSR generators
  • P. L'Ecuyer
  • Computer Science, Mathematics
  • Math. Comput.
  • 1999
We give the results of a computer search for maximally equidistributed combined linear feedback shift register (or Tausworthe) random number generators, whose components are trinomials of degreesExpand
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