Optimum sampling search system and method with risk assessment, and graphical user interface

An optimum sampling search method with risk estimation, comprising:

• obtaining at least one objective function outputting value and at least one constraint function outputting value according to at least one executed sampling parameter;
• obtaining an objective satisfaction score model according to the at least one executed sampling parameter and the at least one objective function outputting value;
• obtaining a constraint satisfaction probability model according to the at least one sampling parameter and the at least one constraint function outputting value;
• obtaining a recommended sampling parameter according to the objective satisfaction score model;
• estimating a constraint satisfaction probability of the recommended sampling parameter according to the recommended sampling parameter and the constraint satisfaction probability model;
• outputting the recommended sampling parameter, if the constraint satisfaction probability of the recommended sampling parameter is larger than or equal to a first predetermined value;
• and
• adjusting the recommended sampling parameter to optimize the constraint satisfaction probability model, if the constraint satisfaction probability of the recommended sampling parameter is between the first predetermined value and a second predetermined value.

A graphical user interface, comprising:

• an objective satisfaction score model window, used for displaying an objective satisfaction score model, wherein the objective satisfaction score model is obtained according to at least one executed sampling parameter and at least one objective function outputting value;
• a constraint satisfaction probability model window, used for displaying a constraint satisfaction probability model, wherein the constraint satisfaction probability model is obtained according the at least one executed sampling parameter and at least one constraint function outputting value;
• and
• a sampling information window, used for displaying a recommended sampling parameter and a constraint satisfaction probability, wherein the recommended sampling parameter is obtained according to the objective satisfaction score model, and the constraint satisfaction probability is obtained according to the recommended sampling parameter and the constraint satisfaction probability model.