Primal and dual neural networks for shortest-path routing
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A new neural network for solving linear programming problems and its application
IEEE Transactions on Neural Networks
Primal and dual assignment networks
IEEE Transactions on Neural Networks
Analysis and design of primal-dual assignment networks
IEEE Transactions on Neural Networks
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This paper presents a one-layer recurrent neural network for solving linear programming problems. The proposed neural network is guaranteed to be globally convergent in finite time to the optimal solutions under a mild condition on a derived lower bound of a single gain parameter. The number of neurons in the neural network is the same as the number of decision variables of the dual optimization problem. Compared with the existing neural networks for linear programming, the proposed neural network has salient features such as finite-time convergence and lower model complexity. Specifically, the proposed neural network is tailored for solving the linear assignment problem with simulation results to demonstrate the effectiveness and characteristics of the proposed neural network.