Optimization of Parametric Studies Using Strategies of Sampling Techniques
To improve the efficiency of parametric studies or
tests planning the method is proposed, that takes into account all input parameters, but only a few simulation runs are performed to
assess the relative importance of each input parameter. For K input
parameters with N input values the total number of possible combinations of input values equals NK. To limit the number of runs,
only some (totally N) of possible combinations are taken into account. The sampling procedure Updated Latin Hypercube
Sampling is used to choose the optimal combinations. To measure the
relative importance of each input parameter, the Spearman rank
correlation coefficient is proposed. The sensitivity and the influence
of all parameters are analyzed within one procedure and the key
parameters with the largest influence are immediately identified.
[1] A. Florian, "An Efficient Sampling Scheme: Updated Latin Hypercube
Sampling," J. Probabilistic Engineering Mechanics, vol. 7, no. 2, 1992, pp. 123-130.
[2] M. McKay, R. J. Beckman, and W. J. Conover, "A Comparison of Three
Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code," Technometrics, no. 2, 1979, pp. 239-245.
[3] R. L. Iman, and W. J. Conover, "A Distribution-Free Approach to Inducing Rank Correlation Among Input Variables," Commun. Statist.,
no. B11, 1982, pp. 311-334.
[4] ANSYS Academic Research, Release 13, Help System, Theory
Reference Guide for Mechanical APDL, ANSYS, Inc., 2011.
[1] A. Florian, "An Efficient Sampling Scheme: Updated Latin Hypercube
Sampling," J. Probabilistic Engineering Mechanics, vol. 7, no. 2, 1992, pp. 123-130.
[2] M. McKay, R. J. Beckman, and W. J. Conover, "A Comparison of Three
Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code," Technometrics, no. 2, 1979, pp. 239-245.
[3] R. L. Iman, and W. J. Conover, "A Distribution-Free Approach to Inducing Rank Correlation Among Input Variables," Commun. Statist.,
no. B11, 1982, pp. 311-334.
[4] ANSYS Academic Research, Release 13, Help System, Theory
Reference Guide for Mechanical APDL, ANSYS, Inc., 2011.
@article{"International Journal of Architectural, Civil and Construction Sciences:60080", author = "Lenka Ševelová and Aleš Florian", title = "Optimization of Parametric Studies Using Strategies of Sampling Techniques", abstract = "To improve the efficiency of parametric studies or
tests planning the method is proposed, that takes into account all input parameters, but only a few simulation runs are performed to
assess the relative importance of each input parameter. For K input
parameters with N input values the total number of possible combinations of input values equals NK. To limit the number of runs,
only some (totally N) of possible combinations are taken into account. The sampling procedure Updated Latin Hypercube
Sampling is used to choose the optimal combinations. To measure the
relative importance of each input parameter, the Spearman rank
correlation coefficient is proposed. The sensitivity and the influence
of all parameters are analyzed within one procedure and the key
parameters with the largest influence are immediately identified.", keywords = "Concrete, pavement, simulation, reliability, Latin Hypercube Sampling, parametric studies.", volume = "6", number = "10", pages = "849-4", }