Swarm intelligence for mixed-variable design optimization

Many engineering optimization problems frequently encounter continuous variables and discrete variables which adds considerably to the solution complexity.Very few of the existing methods can yield a globally optimal solution when the objective functions are non-convex and non-differentiable.This paper presents a hybrid swarm intelligence approach(HSIA)for solving these nonlinear optimization problems which contain integer,discrete,zero-one and continuous variables.HSIA provides an improvement in global search reliability in a mixed-variable space and converges steadily to a good solution.An approach to handle various kinds of variables and constraints is discussed.Comparison testing of several examples of mixed-variable optimization problems in the literature showed that the proposed approach is superior to current methods for finding the best solution,in terms of both solution quality and algorithm robustness.