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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

Direct searches do not use gradient or second-derivative information. They do not use models of the surface. Direct searches only use function evaluation, and the trial solution sequence is directed either by human logical or stochastic rules. Typically they creep up to optima, as opposed to understanding the surface and jumping to, or near to, the perfect answer. One might think, then, that direct searches are inferior. Well, they are inferior to second-order methods but only for the limited class of applications that meet the ideal conditions of deterministic functions with continuum variables and derivatives, no constraints, no flat spots,...

11.1
Introduction
11.2
Cyclic Heuristic Direct (CHD) Search
11.3
Hooke–Jeeves (HJ)
11.4
Compare and Contrast CHD and HJ Features: A Summary
11.5
Nelder–Mead (NM) Simplex: Spendley, Hext, and Himsworth
11.6
Multiplayer Direct Search Algorithms
11.7
Leapfrogging
11.8
Particle Swarm Optimization
11.9
Complex Method (CM)
11.10
A Brief Comparison
11.11
Takeaway
11.12
Exercises
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