Regions of preference and avoidance represents a new approach to optimization and design improvement. It is a statistical approach to optimization, which defines a region for improvement and a region for avoidance. The region of preference is a new distribution for the input variable, which one wants to achieve in order to have stable statistical improvement. In other words, truncating the input distribution in a proper way, one can achieve stable improvement. Contrary, region of avoidance represents a region, which leads to low results in the final distribution. In other words, a region in the input distribution, which needs to be avoided in order to have a good design. However, these regions can overlap. The overlap is closely connected to the influence/sensitivity of the given variable. For very influential variables, these regions will not overlap and one should avoid the region of avoidance as it will almost surely lead to bad final design. On the other hand, for non-influential variables, these regions will overlap and re-design the input distribution according to the region of preference will lead to small improvement. Due to statistical nature of the optimization, setting only few variables variables to region of preference will still lead to an improvement in the final design. However, the improvement will not be as large as predicted by our code. Nevertheless, this allows to improve the final design according to criteria, which are not (or cannot) be specified.
We define the region of preference to be on the right side of the final distribution (maximization process) and the region of avoidance on the left side of the final distribution. If the minimization is needed, than the process is reversed, i.e. the regions of avoidance becomes the regions of preference. Nevertheless, all the conclusions stay the same.In the section Region of preference/avoidance -> Inputs are showed input distributions with their regions of preference/avoidance. Under the subsection Results are showed final distributions, which are achieved with regions of preference / avoidance.
Fig. 1: Regions of preference and avoidance – Results
Table under Sets -> Options refers to the distributions, which should be visualized. Select distributions, which should be visualized. The distributions will be visualized the button apply is pushed.
The graph is fully adjustable with options, where:
Fig. 2: Regions of preference/avoidance – options
To store selected results in File (upper left corner) select save. It will allow you to choose the specific data that you want to save. The code automatically selects the format to store visualized results.
Fig. 3: Save Dialog Screen – Initial State
These three files have the same format that the analogous generated in the pre-processor.
Fig. 4: Save Dialog Screen
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