Ys. Xia et Js. Wang, NEURAL-NETWORK FOR SOLVING LINEAR-PROGRAMMING PROBLEMS WITH BOUNDED VARIABLES, IEEE transactions on neural networks, 6(2), 1995, pp. 515-519
A new neural network for solving linear programming problems with boun
ded variables is presented. The network is shown to be completely stab
le and globally convergent to the solutions to the linear programming
problems. The proposed new network is capable of achieving the exact s
olutions, in contrast to existing optimization neural networks which n
eed a suitable choice of the network parameters and thus can obtain on
ly approximate solutions. Futhermore, both the primal problems and the
ir dual problems are solved simultaneously by the new network.