In order to assist the performance evaluation of complex stochastic models, automatic program tools were developed since a long time. Stochastic Petri nets (SPN) are applied as an effective model description language supported by several analytical and simulation tools. The analytical description and the numerical analysis of non-Markovian stochastic Petri net models gained attention recently. ...

background in spite of common usage of the inferior alveolar nerve block (ianb), this method has some well-defined restrictions. objectives the purpose of the present study was to compare these two techniques for the surgical removal of impacted lower third molars. patients and methods a total of 44 similarly impacted lower third molars (22 patients with two similar teeth) were selected. in eac...

In order to assist the performance evaluation of complex stochastic models, automatic program tools are developed since a long time. An effective model description language, supported by several software tools, is the stochastic Petri Net (SPN). But the attention to the analytical description and the numerical analysis of non-Markovian stochastic Petri Net models arose only recently. There are ...

In order to assist the performance evaluation of complex stochastic models, automatic program tools were developed since a long time. Stochastic Petri Nets (SPN) are applied as an effective model description language supported by several analytical and simulation tools. The analytical description and the numerical analysis of non-Markovian stochastic Petri Net models gained attention recently. ...

1. Matrix perturbation bounds. Given a low-rank matrix we consider what happens to the invariant subspaces when the matrix is perturbed by a small amount. We assume without loss of generality that the matrix under consideration is square and symmetric, and our methods can be extended to the general non-symmetric non-square case. We refer the interested reader to [1, 3] for more details, as the ...

We suppose that we are given a probability space (Ω, E ,P) and consider random variables defined on it taking a finite number of possible values. We use upper case letters to denote such random variables (e.g. X,Y, Z,W . . .) and calligraphic letters (e.g. X ,Y,Z,W . . .) to denote their image sets (of finite cardinality), and lower case letters (e.g. x, y, z, w . . .) to denote one of their po...

The completion time analysis of Markov reward models with partial incremental loss is provided in this paper. The complexity of the model behaviour requires the use of an extra (supplementary) variable.

We introduce a new approach for nonparametric spectral density estimation based on the subsampling technique, which we apply to important class of nonstationary time series. These are almost periodically correlated sequences. In contrary existing methods, our technique does not require demeaning data. On simulated data examples, compare estimator function with classical one. Additionally, propo...