Physical programming: Effective optimization for computational design

A new effective and computationally efficient approach for design optimization, hereby entitled physical programming, is developed, This new approach is intended to substantially reduce the computational intensity of large problems and to place the design process into a more flexible and natural framework. Knowledge of the desired attributes of the optimal design is judiciously exploited, For each attribute of interest to the designer (each criterion), regions are defined that delineate degrees of desirability: unacceptable, highly undesirable, undesirable, tolerable, desirable, and highly desirable, This approach completely eliminates the need for iterative weight setting, which is the object of the typical computational bottleneck in large design optimization problems, Two key advantages of physical programming are 1) once the designer's preferences are articulated, obtaining the corresponding optimal design is a noniterative process-in stark contrast to conventional weight-based methods and 2) it provides the means to reliably employ optimization with minimal prior knowledge thereof, The mathematical infrastructure that supports the physical programming design optimization framework is developed, and a numerical example provided. Physical programming is a new approach to realistic design optimization that may be appealing to the design engineer in an industrial setting.