CAJ | 학술논문

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.
구간사솔방법이응용우해결전국우화문제,차득도료교호적결과.토론목표함수위인자함수적리산무약속min-max-min문제,이용구간사솔,구조목표함수적구간확장화구간사솔산제원칙,건립료구해리산무약속min-max-min문제적구간사솔산법,병급출료수치산례.상관결론화수치결과도표명:해방법가이동시구출문제적최우치화전부전국최우해,시가고화유효적.
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.