Generalized Simulated Annealing for Global Optimization: The GenSA Package
Yang Xiang, Sylvain Gubian, Brian Suomela and Julia Hoeng
, The R Journal (2013) 5:1, pages 13-28.
Abstract Many problems in statistics, finance, biology, pharmacology, physics, mathematics, eco nomics, and chemistry involve determination of the global minimum of multidimensional functions. R packages for different stochastic methods such as genetic algorithms and differential evolution have been developed and successfully used in the R community. Based on Tsallis statistics, the R package GenSA was developed for generalized simulated annealing to process complicated non-linear objective functions with a large number of local minima. In this paper we provide a brief introduction to the R package and demonstrate its utility by solving a non-convex portfolio optimization problem in finance and the Thomson problem in physics. GenSA is useful and can serve as a complementary tool to, rather than a replacement for, other widely used R packages for optimization.
Received: 2011-11-29; online 2013-06-03@article{RJ-2013-002, author = {Yang Xiang and Sylvain Gubian and Brian Suomela and Julia Hoeng}, title = {{Generalized Simulated Annealing for Global Optimization: The GenSA Package}}, year = {2013}, journal = {{The R Journal}}, doi = {10.32614/RJ-2013-002}, url = {https://doi.org/10.32614/RJ-2013-002}, pages = {13--28}, volume = {5}, number = {1} }