ABSTRACT

Probabilistic methods are used in engineering where a computational model contains random variables. The probabilistic computational methods for reliability calculations can be split e.g. into the three following groups: simulation based techniques, approximation techniques and numerical integration. Series of probabilistic methods were developed; each of them encounters problems of efficiency. The solution may be the use of multiprocessor systems (e.g. supercomputers such as supercomputer Anselm hosted by IT4 Innovations National Supercomputing Center in Ostrava), which enable a large number of computing operations divided by the number of used processing units or cores. Series of probabilistic methods advantageously allows implementing the algorithm of parallelization. Also, a newly developed method Direct Optimized Probabilistic Calculation—“DOProC”, seems for usage in parallel systems as very efficient.