# 09 - Chapter 9 Optimization in Design and Operations...

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Chapter 9 Optimization in Design and Operations

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2 Optimization in Design and Operations Classical optimization theory Unconstrained classical optimization Constrained classical optimization Optimization involving multiple criteria Constrained optimization by linear programming
3 Classical optimization theory Optimization in Design Operations An optimization model consists of: Objective function Constraints Examples?

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4 Basics of optimization Everything should be expressed in terms of the decision variables. Variables: Binary Integer Continuous Number of variables: Single Multiple
5 Basics of optimization Slope of a function Derivatives Partial derivatives Unconstrained optimization ) ( x f y = n n dx y d ) ,.., , ( 2 1 m x x x f y = n n i x y

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6 Unconstrained classical optimization Optimal first cost of a bridge construction Parameters: L : bridge length (feet) W : superstructure weight (pounds per foot)
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09 - Chapter 9 Optimization in Design and Operations...

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