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Optimization

Explore the fundamentals of optimization, from available controls to specific interfaces, to avoid potential pitfalls and achieve best-fit solutions. Learn about local and global minima, solution spaces, and stopping conditions with practical examples. Discover various search methods like Newton-Raphson and Hooke and Jeeves for quick and robust results.

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Optimization

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  1. Optimization Gary Garrison • Dave Calkins

  2. Optimization • Basics • Potential Pitfalls • Available Controls • Specific interfaces • Best fit points to points • Best fit points to surfaces • Relationship fit • USMN

  3. Basics • Over-determined system • Input system/Objective f(x) • Solution space • Local and global minima • Stopping condition

  4. Example problem

  5. Minima: Finding the “correct” solution

  6. Search method • “Run Optimization” • Newton Raphson • Quick • “Run Direct Search” • Hooke and Jeeves • Robust (local minima)

  7. Run Optimization (Newton Raphson)

  8. Run Direct Search (Hooke and Jeeves)

  9. Potential Pitfalls • Long run time • Really short run time • Highly leveraged fit • Wrong solution

  10. Available Controls • OK to cancel & apply fit • User Options, Units tab • Starting condition • Working Frame during fit • Iterative Approach • Weighting

  11. User Options

  12. Specific Interfaces • Best fit points to points • Best fit points to objects • Relationship fit • USMN

  13. Best fit points to points

  14. Best fit points to objects

  15. Best fit points to objects, cont’d

  16. Relationship fit

  17. Relationship fit, cont’d

  18. Relationship fit, cont’d

  19. Relationship fit, cont’d

  20. USMN

  21. USMN, cont’d

  22. Thank You

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