Solving traveling salesman problem by simulated electric field method

The simulated electric field method is used to solve the traveling salesman problem. Assume a unit positive electric charge is placed at each city. A unified static electric field is then formed in the whole territory of the area of cities. The potential differences between each pair of cities form a stereo map. Each city now is considered to be located on a height equal to its relative potential. Imagine that this stereo map is a map of closed-loop mountain chain which is formed by connecting several conic hills of different heights, sizes and configurations one after another. Now the traveling salesman problem turns to be a problem of optimally programming the conic hills and the closed-loop mountain chain. Then a high-dimension global optimization is reduced to a low-dimension dispersive one, and the computation is greatly reduced.