Computational design optimization: A review and future directions

A mathematical model for design optimization of engineering systems is defined. Computational algorithms to treat the model are reviewed and their features are discussed. The attributes of a good algorithm are given. Sequential quadratic programming algorithms that generate and use the approximate Hessian of the Lagrange function to calculate the search direction are the most recent methods. They are the most reliable methods among the available ones. Several other computational aspects, such as robust implementation of algorithms, use of a knowledge base, interactive use of optimization, and use of a database and database management system, are discussed. Recent developments in the field and future directions are presented.