In the most general terms, optimization theory is a body of mathematical results and numerical methods for finding and identifying the best candidate from a collection of alternatives without having to explicitly enumerate and evaluate all possible alternatives. The process of optimization lies at the root of engineering, since the classical function of the engineer is to design new, better, more efficient and less expensive systems as well as to devise plans and procedures for the improved operation of existing systems. Most optimization routines are lengthy and therefore are efficiently applied through the use of the computer, but an understanding of the processes is needed to identify needs and interpret results. This book supplies the student and practicing engineer with the tools to understand and use optimization theory.

This book presents the theory and practical application of engineering optimization methods. It covers formulation of optimization problems, single- and multivariable optimization, linear programming, constrained optimality criteria, transformation and direct-search methods, linearization and direction-generation methods, quadratic approximation techniques, structured optimization problems and algorithms, and comparative strategies for optimization studies. The text also includes engineering case studies and discusses practical implementation and interpretation of optimization results.