中文摘要：

为高效求解混合整数非线性规划问题,提出了一种优化的扩展联合多目标差分进化方法（ECMODE）。该方法借助整数变量连续化方法,把混合整数非线性规划（MINLP）问题转换成只有连续变量的非线性规划（NLP）问题,再采用联合多目标的差分进化方法 （CMODE）来求解。通过对7个MINLP测试问题的计算研究,验证了ECMODE方法的可行性和有效性,所获得的寻优结果优于文献报道的MDE和DETL方法,具有较大的应用潜力。

英文摘要：

An extended combining multiobjective differential evolution method,named as ECMODE,is proposed to solve mixed integer non-linear programming problems.The proposed method uses continuous representation method for integer variables,and the mixed integer non-liner programming（MINLP） are transformed into non-linear programming（NLP） with only continuous variables.Combined multiobjective differential evolution（CMODE） is used to solve them.Seven MINLP problems are selected for experiment study.It is demonstrated that ECMODE is feasible and effective,superior to MDE and DETL reported in literature.EECMODE provides a new method for MINLP problems,with great potential.