区间斜率方法已应用于解决全局优化问题,且得到了较好的结果。讨论目标函数为因子函数的离散无约束min-max-min问题,利用区间斜率,构造目标函数的区间扩张和区间斜率删除原则,建立了求解离散无约束min-max-min问题的区间斜率算法,并给出了数值算例。相关结论和数值结果都表明:该方法可以同时求出问题的最优值和全部全局最优解,是可靠和有效的。
Interval slope method has been used for solving global optimization problems and obtained preferable property.Interval slope method is proposed for a class of unconstrained min-max-min problems,in which the objective functions are factorable functions.An interval algorithm is given by interval slope discard tests and interval extension of objective functions.Numerical results are also presented.Theory and numerical results show that the method gets both the best value and all global solutions.The algorithm is reliable and efficient.