摘要
基于对偶理论和射影理论 ,提出了一个求解大规模线性多目标规划问题的新神经网络 ,严格证明了该网络是Lyapunov稳定的 ,并且大范围渐近收敛于它的平衡点 ,而且该平衡点正是线性多目标规划问题的非劣解 .
A new neural network for solving large scale mutiobjective linear programming problems is proposed on duality theory and projection theory. It is proven to be Lyapunov stable and asymptotically convergent to its equilibrium point which is just the non inferior solution of mutiobjective linear programming problems.
出处
《陕西师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2000年第4期15-18,共4页
Journal of Shaanxi Normal University:Natural Science Edition
关键词
线性多目标规划
神经网络
渐近稳定性
非劣解
mutiobjective linear programming
neural network
asymptotical stability
non inferior solution