Title: The Stochastic Processes Generation in OpenModelica,
Abstract: Background: Component-based modeling language Modelica (OpenModelica is open
source implementation) is used for the numerical simulation of complex
processes of different nature represented by ODE system. However, in
OpenModelica standard library there is no routines for pseudo-random numbers
generation, which makes it impossible to use for stochastic modeling processes.
Purpose: The goal of this article is a brief overview of a number of algorithms
for generation a sequence of uniformly distributed pseudo random numbers and
quality assessment of the sequence given by them, as well as the ways to
implement some of these algorithms in OpenModelica system. Methods: All the
algorithms are implemented in C language, and the results of their work tested
using open source package DieHarder. For those algorithms that do not use bit
operations, we describe there realisation using OpwnModelica. The other
algorithms can be called in OpenModelica as C functions Results: We have
implemented and tested about nine algorithms. DieHarder testing revealed the
highest quality pseudo-random number generators. Also we have reviewed
libraries Noise and AdvancedNoise, who claim to be adding to the Modelica
Standard Library. Conclusions: In OpenModelica system can be implemented
generators of uniformly distributed pseudo-random numbers, which is the first
step towards to make OpenModelica suitable for simulation of stochastic
processes.