摘要
对非线性双级多目标决策问题,提出了一类非线性二级决策问题的遗传算法的解法,即各级目标函数共用相同的约束条件,对问题分级进行处理;对于每一层利用线性加权法将问题进行简化,将一个非线性二级决策问题转化为多个一级非线性决策问题,再利用遗传算法分别进行求解,可得到原问题的非劣解,从而提供了解决非线性决策问题的一种方法。
From a perspective of non-linear bilevel multi-objective decision - making of the leader-follower Stackelberg game, a bilevel non-linear multi-objective decision- making model and an algorithm for solving the problem are presented. In this model all objectives use the same constrains. The problems is decomposed to make each objectives have its own constraints. Then the linear weighted methods are used to transform a bilevel non-linear multi-objective problem to several single non-linear problem, and the Genetic Algorithm is then used to solve the problem.
出处
《哈尔滨理工大学学报》
CAS
1999年第6期41-44,共4页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(69874009)
