testfunctions {gek} | R Documentation |
Testfunctions in gek
Description
Overview of testfunctions available in gek.
2-dimensional testfunctions for optimization
branin
: Branin-Hoo functioncamel3
: Three-hump camel functioncamel6
: Six-hump camel functionhimmelblau
: Himmelblaus's function
Multi-dimensional testfunctions for optimization
banana
: Rosenbrock's Banana functioncigar
: Bent Cigar functiongriewank
: Griewank functionqing
: Qing functionrastrigin
: Rastrigin functionschwefel
: Schwefel functionsphere
: Sphere functionstyblinski
: Styblinski-Tang function
Testfunctions for uncertainty quantification
borehole
: Borehole functionsteel
: Steel column functionshort
: Short column functionsulfur
: Sulfur model function
Author(s)
Carmen van Meegen
References
Branin, Jr., F. H. (1972). Widely Convergent Method of Finding Multiple Solutions of Simultaneous Nonlinear Equations. IBM Journal of Research and Development, 16(5):504–522.
Jamil, M. and Yang, X.-S. (2013). A Literature Survey of Benchmark Functions for Global Optimization Problems. International Journal of Mathematical Modelling and Numerical Optimisation, 4(2):150-–194. doi:10.1504/IJMMNO.2013.055204.
Harper, W. V. and Gupta, S. K. (1983). Sensitivity/Uncertainty Analysis of a Borehole Scenario Comparing Latin Hypercube Sampling and Deterministic Sensitivity Approaches. BMI/ONWI-516, Office of Nuclear Waste Isolation, Battelle Memorial Institute, Columbus, OH.
Himmelblau, D. (1972). Applied Nonlinear Programming. McGraw-Hill. ISBN 0-07-028921-2.
Kuschel, N. and Rackwitz, R. (1997). Two Basic Problems in Reliability-Based Structural Optimization. Mathematical Methods of Operations Research, 46(3):309–333.
Morris, M., Mitchell, T., and Ylvisaker, D. (1993). Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction. Technometrics, 35(3):243–255. doi:10.1080/00401706.1993.10485320.
Plevris, V. and Solorzano, G. (2022). A Collection of 30 Multidimensional Functions for Global Optimization Benchmarking. Data, 7(4):46. doi:10.3390/data7040046.
Rosenbrock, H. H. (1960). An Automatic Method for Finding the Greatest or least Value of a Function. The Computer Journal, 3(3):175–184. doi:10.1093/comjnl/3.3.175.
Surjanovic, S. and Bingham, D. (2013). Virtual Library of Simulation Experiments: Test Functions and Datasets. https://www.sfu.ca/~ssurjano/ (retrieved January 19, 2024).
See Also
banana
, bananaGrad
,
borehole
, boreholeGrad
,
branin
, braninGrad
,
camel3
, camel3Grad
,
camel6
, camel6Grad
,
cigar
, cigarGrad
,
griewank
, griewankGrad
,
himmelblau
, himmelblauGrad
,
qing
, qingGrad
,
rastrigin
, rastriginGrad
,
schwefel
, schwefelGrad
,
short
, shortGrad
,
sphere
, sphereGrad
,
steel
, steelGrad
,
styblinski
, styblinskiGrad
,
sulfur
, sulfurGrad