Geometric programming for engineering design optimization
Abstract
A computer program with the capabilities to handle generalized polynomial optimization problems was developed. Geometric programming theory for posynomial problems is used as the basis for this work. Signomial problems are converted to posynomial form through condensation. In the preparation of the program, features are built-in such that the user can control output by specifying input variables. An example is included to illustrate the step-by-step procedure for the use of this program. Several civil engineering optimization problems are formulated and solved using the algorithm GPALL. Practical suggestions are made to reduce the large size problems to a manageable size for an efficient solution. Convergence of the algorithm and its drawbacks are discussed.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- June 1981
- Bibcode:
- 1981PhDT........65B
- Keywords:
-
- Computer Aided Design;
- Descriptive Geometry;
- Engineering Drawings;
- Optimization;
- Algorithms;
- Computer Programs;
- Polynomials;
- Engineering (General)