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Engineering Optimization: Applications, Methods, and Analysis

By
R. Russell Rhinehart
R. Russell Rhinehart
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ISBN:
9781118936337
No. of Pages:
770
Publisher:
ASME Press
Publication date:
2018

The term surface aberrations refers to features of the OF response to DVs, features of the topology, that make it difficult for optimization algorithms. Finding the optimum of an unconstrained quadratic surface is a trivial exercise. However, for many applications several types of OF features cause difficulty for the algorithm. These are easily visualized in the three dimension of a 2-D application (OF response to DV1 and DV2) but translate to 1-D and N-D applications. The following illustrations show the 3-D net and/or 2-D contour map patterns.

31.1
Introduction
31.2
Cliffs (Vertical Walls)
31.3
Sharp Valleys (or Ridges)
31.4
Striations
31.5
Level Spots (Functions 1, 27, 73, 84)
31.6
Hard-to-Find Optimum
31.7
Infeasible Calculations
31.8
Uniform Minimum
31.9
Noise: Stochastic Response
31.10
Multiple Optima
31.11
Takeaway
31.12
Exercises
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