Title :
A new approach to solve the traveling salesman problem by using the improved Kohonen´s self-organizing feature map
Author :
Kitaori, Ken ; Murakoshi, Hideki ; Funakubo, Noboru
Author_Institution :
Dept. of Electron. Syst. Eng., Tokyo Metropolitan Inst. of Technol., Japan
Abstract :
This paper proposes methods that would develop the ability of Kohonen´s self-organizing features map (SOFM) to solve optimization problems and also shows how useful SOFM is in solving optimization problems. The authors focused on the traveling salesman problem (TSP) as a typical example of an optimization problem. The conventional SOFM can solve the TSP. But the solution is not the optimum solution because the path intersects itself. Therefore, the authors propose new methods to keep the path from intersecting itself at all times. By adding these methods to the rule of changing synaptic strengths, the path length is improved by decreasing the iteration time and increasing the convergence rate
Keywords :
control system synthesis; convergence of numerical methods; iterative methods; motion control; neurocontrollers; optimal control; optimisation; path planning; self-organising feature maps; travelling salesman problems; Kohonen´s self-organizing feature map; convergence rate; iteration time; optimization problem; path intersection; path length; synaptic strengths; traveling salesman problem; Hopfield neural networks; Neural networks; Optimization methods; Organizing; Pattern recognition; Traveling salesman problems;
Conference_Titel :
Industrial Electronics, Control, and Instrumentation, 1995., Proceedings of the 1995 IEEE IECON 21st International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-3026-9
DOI :
10.1109/IECON.1995.484152