Abstract
Exact optimal designs have generally been constructed using a finite design space and various exchange algorithms, which are subject to premature convergence. Branch-and-bound methods guarantee optimal designs, but are only computationally feasible for small problems. We apply the generalized simulated annealing algorithm to the construction of exact optimal designs, and evaluate its effectiveness on both finite and continuous design spaces.
Original language | English (US) |
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Pages (from-to) | 329-359 |
Number of pages | 31 |
Journal | American Journal of Mathematical and Management Sciences |
Volume | 8 |
Issue number | 3-4 |
DOIs | |
State | Published - Jan 1 1988 |
Keywords
- D-optimality
- Exchange algorithms
- Nonlinear optimization
- Optimal designs