The Direct Determined Fully Probabilistic Method ("DDFPM") is newly developed probabilistic numerical calculation usable especially in the assessment of structural reliability. The random input variables (such as the load, geometry, material properties, or imperfections) can be expressed by means of histograms with parametric and non-parametric distribution created from sets of random quantities that have been measured or observed.

Reliability of load-carrying structures has been assessed by various calculation procedures based on probability theory and mathematic statistics, which have been becoming more and more popular. The calculation procedures are well-suited for the design of elements in load-carrying structures with the required level of reliability if at least some input parameters are random and contribute to a qualitatively higher level of the reliability assessment and, in turn, higher safety of those who use the buildings and facilities. This paper discusses application of the original and new probabilistic methods – the Direct Optimized Probabilistic Calculation (“DOProC”), which uses a purely numerical approach without any simulation techniques. This provides more accurate solutions to probabilistic tasks, and, in some cases, to considerably faster completion of computations.

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The probabilistic methods are used in engineering tasks where a computational model contains random variables. The new method the Direct Optimised Probabilistic Calculation (DOProC) - which is being developed now seems to be highly efficient in terms of calculation time and accuracy of solution. The computation is purely numerical and does not use any simulation techniques. The algorithm has been implemented in several software applications which have been used in probabilistic tasks and probabilistic reliability assessments.

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