The Utility of Nonlinear Programming Methods for Engineering Design,
PURDUE UNIV LAFAYETTE IN SCHOOL OF MECHANICAL ENGINEERING
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Herein is considered the relative merits of modern optimization methods for engineering design applications. The design and implementation of two major comparative experiments is reviewed in detail. The first, an investigation of the merits of general purpose nonlinear programming codes was conducted over the period 1973 to 1977. The second, an investigation of the relative merits of various geometric programming strategies and their code implementations was conducted over the period 1974 to 1978. The various major decisions associated with such studies are discussed such as the selection and collection of problems and codes, the nature of data to be collected, evaluation criteria, ranking schemes, presentation and distribution of results, and the technical design of the experiment itself. The statistical implications of the results in light of the experiment design are examined as are the effects of various experiment parameters such as number of variables, number of constraints, degree of nonlinearity in the objective and constraints, and starting point placement.