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Hi
To use GenOpt with continuous and discrete parameters, I suggest to use either a hybrid Particle Swarm and Pattern Search Algorithm or the Particle Swarm Optimization algorithm by itself. See Sections 5.5 and 5.4, respectively.
GAs should also work, but they are not part of the GenOpt distribution. See also the paper
Michael Wetter and Jonathan Wright. A comparison of deterministic and probabilistic optimization algorithms for nonsmooth simulation-based optimization. Building and Environment, 39(8):989--999, 2004. http://dx.doi.org/doi:10.1016/j.buildenv.2004.01.022
that compares a variety of optimization algorithms used with GenOpt and EnergyPlus, including a GA.