1Blurb::
2Samples variables on full factorial grid of study points
3
4Description::
5Dakota's multidimensional parameter study computes response data sets
6for an n-dimensional grid of points. Each continuous and discrete
7range variable is partitioned into equally spaced intervals between
8its upper and lower bounds, each discrete set variable is partitioned
9into equally spaced index intervals. The partition boundaries in
10n-dimensional space define a grid of points, and every point is
11evaluated.
12
13<b> Default Behavior </b>
14
15By default, the multidimensional parameter study operates over all
16types of variables.
17
18<b> Expected Outputs </b>
19
20A multidimensional parameter study produces a set of responses for
21each parameter set that is generated.
22
23<b> Usage Tips </b>
24
25Since the initial values from the variables specification will not be
26used, they need not be specified.
27
28Topics::	parameter_studies
29Examples::
30This example is taken from the Users Manual and is a good comparison to the examples on
31\ref method-centered_parameter_study and \ref method-vector_parameter_study.
32\verbatim
33# tested on Dakota 6.0 on 140501
34environment
35  tabular_data
36    tabular_data_file = 'rosen_multidim.dat'
37
38method
39  multidim_parameter_study
40    partitions = 10 8
41
42model
43  single
44
45variables
46  continuous_design = 2
47    lower_bounds     -2.0     -2.0
48    upper_bounds      2.0      2.0
49    descriptors       'x1'     "x2"
50
51interface
52  analysis_driver = 'rosenbrock'
53    fork
54
55responses
56  response_functions = 1
57  no_gradients
58  no_hessians
59
60\endverbatim
61
62This example illustrates the full factorial combinations of parameter values created
63by the multidim_parameter_study. With 10 and 8 partitions, there are actually
6411 and 9 values for each variable. This means that \f$ 11 \times 9 = 99 \f$
65function evaluations will be required.
66
67Theory::
68Faq::
69See_Also::	method-centered_parameter_study, method-list_parameter_study, method-vector_parameter_study
70