Stochastic Petri Nets with Low Variation Matrix Exponentially Distributed Firing Time

@inproceedings{Buchholz2010StochasticPN,
  title={Stochastic Petri Nets with Low Variation Matrix Exponentially Distributed Firing Time},
  author={Peter Buchholz and Andr{\'a}s Horv{\'a}th and Mikl{\'o}s Telek},
  year={2010}
}
The set of order n matrix exponential (ME) distributions is strictly larger than the set of phase type (PH) distributions for n > 2 and contains elements with squared coefficient of variation (scv) significantly lower than 1/n. ME distributions with very low scv are such that the density function becomes zero at some points in (0,∞). For such distributions there is no equivalent finite dimensional PH representation, which inhibits the application of existing methodologies for the numerical… CONTINUE READING