Using possibility investigation of recurrent Hopfield network to travelling salesman problem solving

Muzychin V., Matsievsky S.

The first part such well-known concepts as Hopfield neural network, dynamical system, travelling salesman problem are introduced and explained. The main part a specific Hopfield network is built, the setting of the travelling salesman problem is given and its mathematical model on the basis of the Hopfield neural network is built. Numerical methods are proposed to solve the proposed mathematical model.

Keywords:Hopfield network, dynamical system, travelling salesman problem, mathematical model, numerical analysis.