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线性多目标规划的神经网络方法
A new neural network for solving mutiobjective linear programming
【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 .
【Abstract】 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.
【关键词】 线性多目标规划;
神经网络;
渐近稳定性;
非劣解;
【Key words】 mutiobjective linear programming; neural network; asymptotical stability; non inferior solution;
【Key words】 mutiobjective linear programming; neural network; asymptotical stability; non inferior solution;
- 【文献出处】 陕西师范大学学报(自然科学版) ,Journal of Shaanxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2000年04期
- 【被引频次】5
- 【下载频次】188