5 More on Optimum Design Concepts
Upon completion of this chapter, you will be able to:
• Write and use an alternate form of optimality conditions for constrained problems
• Determine if the candidate points are irregular
• Check the second-order optimality conditions at the candidate minimum points for general constrained problems
In this chapter, we discuss some additional topics related to the optimality condition for constrained problems. Implications of the regularity requirements in the Karush-Kuhn-Tucker (KKT) necessary conditions are discussed. Second-order optimality conditions for the problem are presented and discussed. These topics are usually not covered in a first course on optimization or in a first reading of the book. They ...
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