. "21110" . . . . . "2013-04-22+02:00"^^ . "Probabilistic analyses using Latin Hypercube Sampling method" . "Praha" . "Praha" . "99648" . "numerical modelling; tunnel; statistics; latin hypercube sampling; LHS"@en . . "Hilar, Matou\u0161" . . "Probabilistic analyses using Latin Hypercube Sampling method"@en . . "P(TA01011816)" . "Probabilistic analyses using Latin Hypercube Sampling method" . . "The Latin Hypercube Sampling (LHS) method is a numerical simulation method of the Monte Carlo type convenient for realisation of probabilistic analyses. The paper is focused on brief characterisation of algorithm of LHS method. It deals with method modifications and implementation of statistical correlation among random variables based on the optimisation of the sequence of particular samples in the columns of input variable matrix. LHS converges to the correct solution significantly faster than the Monte Carlo method and in this way substantially reduces the number of simulations and thus calculation time-demands. At the same time LHS preserves high accuracy of estimates of statistical characteristics. Further paper summarizes the LHS applications on solutions of geotechnical problems in Czech Republic and shortly characterises prepared software focused on probabilistic analyses by LHS method. The software is based on LHS mean method cooperating with simulated annealing method to take the statistical dependency of input variables into consideration." . "978-80-260-3867-2" . "Svoboda, T." . "Probabilistic analyses using Latin Hypercube Sampling method"@en . . . "2"^^ . . "RIV/68407700:21110/13:00207145!RIV14-TA0-21110___" . . "The Latin Hypercube Sampling (LHS) method is a numerical simulation method of the Monte Carlo type convenient for realisation of probabilistic analyses. The paper is focused on brief characterisation of algorithm of LHS method. It deals with method modifications and implementation of statistical correlation among random variables based on the optimisation of the sequence of particular samples in the columns of input variable matrix. LHS converges to the correct solution significantly faster than the Monte Carlo method and in this way substantially reduces the number of simulations and thus calculation time-demands. At the same time LHS preserves high accuracy of estimates of statistical characteristics. Further paper summarizes the LHS applications on solutions of geotechnical problems in Czech Republic and shortly characterises prepared software focused on probabilistic analyses by LHS method. The software is based on LHS mean method cooperating with simulated annealing method to take the statistical dependency of input variables into consideration."@en . . "[D65C08DAC46D]" . "Podzemn\u00ED stavby Praha 2013" . "1"^^ . . . . "1"^^ . . . "RIV/68407700:21110/13:00207145" . "\u010Cesk\u00E1 tunel\u00E1\u0159sk\u00E1 asociace ITA-AITES" .