Parameter setting of the Hopfield network applied to TSP
Neural Networks
Convergence Analysis of Recurrent Neural Networks (Network Theory and Applications, V. 13)
Convergence Analysis of Recurrent Neural Networks (Network Theory and Applications, V. 13)
A Competitive-Layer Model for Feature Binding and Sensory Segmentation
Neural Computation
A new approach to solve the traveling salesman problem
Neurocomputing
“Optimal” Hopfield network for combinatorial optimization with linear cost function
IEEE Transactions on Neural Networks
Analog integrated circuits for the Lotka-Volterra competitive neural networks
IEEE Transactions on Neural Networks
A columnar competitive model for solving combinatorial optimization problems
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Four-Quadrant division with HNN for euclidean TSP
ICIC'12 Proceedings of the 8th international conference on Intelligent Computing Theories and Applications
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This paper proposes a new approach to solve traveling salesman problem (TSP) by using a class of Lotka-Volterra neural networks (LVNN) with global inhibition. Some stability criteria that ensure the convergence of valid solutions are obtained. It is proved that an equilibrium state is stable if and only if it corresponds to a valid solution of the TSP. Thus, a valid solution can always be obtained whenever the network convergence to a stable state. A set of analytical conditions for optimal settings of LVNN is derived. Simulation results illustrate the theoretical analysis.