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Optimization: Introduction and Concepts

Excerpt

Optimization is a procedure for seeking the best choices, and there are essential elements to the procedure. First, there must be criteria for rating choices. This can be alternately stated as a method for determining the value of a metric of goodness, the assessment value of how a person balances desirables and undesirables. One must have this assessable or quantifiable metric of desirability to be able to choose the best. Also, there must be a relation between choices and the evaluation of the outcome. This relation can be either a model or an experiment. The procedure (equation, algorithm, experimental method) for determining the value of the desirability metric is called the objective function (OF). The choices that you can change to improve the OF value are called the decision variables (DVs).

Optimization is a procedure for seeking the best choices, and there are essential elements to the procedure. First, there must be criteria for rating choices. This can be alternately stated as a method for determining the value of a metric of goodness, the assessment value of how a person balances desirables and undesirables. One must have this assessable or quantifiable metric of desirability to be able to choose the best. Also, there must be a relation between choices and the evaluation of the outcome. This relation can be either a model or an experiment. The procedure (equation, algorithm, experimental method) for determining the value of the desirability metric is called the objective function (OF). The choices that you can change to improve the OF value are called the decision variables (DVs).

1.1Optimization and Terminology
1.2Optimization Concepts and Definitions
1.3Examples
1.4Terminology Continued
1.5Optimization Procedure
1.6Issues That Shape Optimization Procedures
1.7Opposing Trends
1.8Uncertainty
1.9Over- and Under-specification in Linear Equations
1.10Over- and Under-specification in Optimization
1.11Test Functions
1.12Significant Dates in Optimization
1.13Iterative Procedures
1.14Takeaway
1.15Exercises
1.1Optimization and Terminology
1.2Optimization Concepts and Definitions
1.3Examples
1.4Terminology Continued
1.5Optimization Procedure
1.6Issues That Shape Optimization Procedures
1.7Opposing Trends
1.8Uncertainty
1.9Over- and Under-specification in Linear Equations
1.10Over- and Under-specification in Optimization
1.11Test Functions
1.12Significant Dates in Optimization
1.13Iterative Procedures
1.14Takeaway
1.15Exercises
Topics: Optimization

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