Overview

APOPT

An active-set solver...

  • Handles highly-constrained problems well
  • Tends to avoid adjusting a variable unless necessary

BPOPT

  • Performs really well in some cases where the others experience numerical difficulties
  • Really struggles with FVs

IPOPT

A large-scale interior-point method...

  • Probably the best default optimizer
  • Handles incredibly large problems
  • Struggles with highly constrained problems

Example Problem

Screening Model Parameters using Cotter's Method

Results using a linear model

References

Bettonvil, Bert, and Jack P. C. Kleijnen. “Searching for Important Factors in Simulation Models with Many Factors: Sequential Bifurcation.” European Journal of Operational Research 96, no. 1 (1997): 180–94. https://doi.org/10.1016/S0377-2217(96)00156-7.

Cotter, Sarah C. "A Screening Design for Factorial Experiments with Interactions." Biometrika 66, no. 2 (1979): 317-20. Accessed May 20, 2021. doi:10.2307/2335664.

Morris, Max D. "Factorial Sampling Plans for Preliminary Computational Experiments." Technometrics 33, no. 2 (1991): 161-74. Accessed May 20, 2021. doi:10.2307/1269043.

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