A robust-generalized reduced gradient program (R-GRG) : with engineering design optimization applications

This report specifically describes algorithms, programming, and applications of a Robust-Generalized Reduced Gradient (R-GRG) for optimum engineering design. The first part of the report depicts the mathematical principles and implementation of the R-GRG method. The second part describes two engineering applications using RGRG. The mathematical models, usage of R-GRG, and design results are presented. The comparisons with other optimization algorithms are made to test the algorithm and programming of R-GRG. The algorithm and design results indicate R-GRG is an efficient and desirable optimization program for engineering optimization problems. Further improvements of R-GRG are discussed in the conclusion section of this report.