摘要：Since hard continuous optimization models contain more than one solution and even continuum solution, it is impossible to seek all the solution by using the existent optimization methods. Therefore, in this paper we introduce a co-joint deterministic and probabilistic approach which modifies a soft approach for solving hard continuous optimization models. An algorithm of co-joint approach and several numerical experiments have been presented in this paper. The special numerical test results have shown that the co-joint approach is more effective than soft approach algorithm. Fortunately, we have found that the co-joint algorithm can be used to determine whether the optimization model is hard continuous optimization models or not.
关键词：Hard continuous optimization;Deterministic and Probabilistic Approach;Steepest Descent Method.
