Hybrid genetic algorithm with exact techniques applied to TSP

  • Authors:
  • Carlos Alberto Rossel Jahuira

  • Affiliations:
  • Systems Engineering, University of San Agustin Arequipa - Peru

  • Venue:
  • Second international workshop on Intelligent systems design and application
  • Year:
  • 2002

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Abstract

This paper presents the hybridization of the Genetic Algorithm (GA) by using ideas enclosed in exact techniques, like the Branch and Bound (B&B), Minimal Spanning Tree and Backtracking Algorithms. It also has been used the Divide and Conquer principle. Two crossovers operators were proposed to propagate the good schema. These operators together with mutation and one method to generate the initial population are based on the algorithms mentioned above.This Hybrid GA was applied to the well-known combinatorial optimization problem Traveling Salesman Problem (TSP). In almost all cases, the optimal solution was found in few generations with quite a few individuals.The Hybrid GA was implemented in software by using Visual C++ 6.0 together with VTK library (tool for scientific visualization). VTK was used to build a visual environment which allows to see how is working the Hybrid GA.