The design variable space of a design synthesis problem may contain mu
ltiple local optima. In the approximation concepts approach to design
synthesis, the design objective and constraint functions are approxima
ted in order to reduce the overall cost. If the approximations accurat
ely capture the actual behavior of the objective function and constrai
nts, then the approximate design variable space may also contain local
optima. In this work, a multistart optimization algorithm is used to
search for the global optimum of the actual design using just a few de
sign cycles. Example problems are presented to illustrate the methodol
ogy set forth.