The main goal is to perform the design, analysis and implementation of a new algorithm for optimization with continuous as well as discrete variables, relying on stochastic global optimization methods. This is a very active subarea of optimization. Typical integer linear programs, like set-partitioning and traveling salesman problems, as well as nonlinear problems coming from chemical and mechanical engineering areas will be considered as practical challenges for the project. Our strategy will incorporate specific heuristics into the stochastic global optimization method.