A hybrid genetic hill-climbing algorithm for four-coloring map problems

  • Authors:
  • Bah-Hwee Gwee;Josep S. Chang

  • Affiliations:
  • Centre of Integrated Circuits and Systems, School of EEE, Nanyang Technological University, Singapore;Centre of Integrated Circuits and Systems, School of EEE, Nanyang Technological University, Singapore

  • Venue:
  • Design and application of hybrid intelligent systems
  • Year:
  • 2003

Quantified Score

Hi-index 0.00

Visualization

Abstract

We propose a Hybrid Genetic hill-climbing Algorithm (HGA) search algorithm and in this paper, demonstrated for n-region 4-coloring map problems. The HGA incorporates the usual Genetic Algorithm (with reproduction, crossover and mutation genetic operators) and a local hill-climbing algorithm. To effectively reduce the magnitude of the search space by 23 times (equivalent to better than one order of magnitude), in particular where n6, we propose a group representation that does not result in any loss of generality. We further propose an objective measure as a guide for the search process. To depict the efficacy of the proposed HGA algorithm, we compare its performance against the established standard Genetic Algorithm, Hill-climbing and an artificial neural network optimization algorithm for several n-region 4-color maps. We show that the proposed HGA is the only algorithm that is able to obtain an optimal solution for large maps (n500). Furthermore, we show that the proposed HGA is the fastest algorithm to yield an optimal solution in all n-region 4-color maps compared.