An analogue approach to the travelling salesman problem using an elastic net method

@article{Durbin1987AnAA,
  title={An analogue approach to the travelling salesman problem using an elastic net method},
  author={Richard Durbin and David J. Willshaw},
  journal={Nature},
  year={1987},
  volume={326},
  pages={689-691}
}
The travelling salesman problem1 is a classical problem in the field of combinatorial optimization, concerned with efficient methods for maximizing or minimizing a function of many independent variables. Given the positions of N cities, which in the simplest case lie in the plane, what is the shortest closed tour in which each city can be visited once? We describe how a parallel analogue algorithm, derived from a formal model2–3 for the establishment of topographically ordered projections in… 
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An improved elastic net method for the traveling salesman problem
  • D. Burr
  • Computer Science
    IEEE 1988 International Conference on Neural Networks
  • 1988
TLDR
An elastic net method is presented for finding traveling-salesman tours; the method improves on the convergence properties of a recent model proposed by R. Durbin and D. Willshaw (1987) and produces either optimum tours or tours within a few percent of optimum.
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