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Basic Concepts of Optimization

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Presentation on theme: "Basic Concepts of Optimization"— Presentation transcript:

1 Basic Concepts of Optimization
Chapter 4 Basic Concepts of Optimization Chapter 4

2 Chapter 4 Objective Function issues:
continuity of f (discrete cases, e.g., insulation, pipe sizes) (2) convexity, concavity stationary points (necessary condition) quadratic vs. non-quadratic functions scalar vs. vector case (6) sufficiency condition (min) Chapter 4

3 Chapter 4

4 Chapter 4

5 Chapter 4

6 Chapter 4

7 Chapter 4

8 Chapter 4

9 Chapter 4

10 Chapter 4

11 Chapter 4

12 Chapter 4 FIGURE 4.9 Convex and nonconvex sets.

13 Chapter 4

14 Chapter 4

15 Chapter 4

16 Chapter 4

17 Chapter 4

18 Chapter 4

19 Chapter 4

20 Chapter 4

21 Chapter 4

22 Chapter 4

23 Chapter 4

24 Chapter 4

25 Chapter 4

26 Chapter 4

27 Chapter 4

28 Chapter 4

29 Chapter 4

30 Chapter 4

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33 Chapter 4


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