PATH FINDING OF INDOOR MOBILE ROBOT USING HARMONIC POTENTIALS VIA EXPLICIT DECOUPLED GROUP MODIFIED ACCELERATED OVER RELAXATION METHOD

Authors

  • A’qilah Ahmad Dahalan Mathematics Department, Centre for Defence Foundation Studies, National Defence University of Malaysia, 57000 Kuala Lumpur, Malaysia Author
  • Ruzanna Mat Jusoh Mathematics Department, Centre for Defence Foundation Studies, National Defence University of Malaysia, 57000 Kuala Lumpur, Malaysia Author
  • Azali Saudi Faculty of Computing and Informatics, Universiti Malaysia Sabah, 88400 Kota Kinabalu, Sabah, Malaysia Author
  • Jumat Sulaiman Faculty of Science and Natural Resources, Universiti Malaysia Sabah, 88400 Kota Kinabalu, Sabah, Malaysia Author

Keywords:

Laplace’s Equation, Collision Free, Optimal Path, Iterative Method

Abstract

The harmonic potential fields, a solution to equation of Laplace are widely used in robot path finding as a suggestion for robot course-plotting in an identified environment. The computation of these harmonic functions often involves simulations on high performance computer. In pursuit to solve the problem of robot navigation, this article suggests a technique called Half-Sweep Block Modified Accelerated Over-Relaxation or better known as Explicit Decoupled Group Modified Accelerated Over-Relaxation (EDGMAOR). To verify the effectiveness of EDGMAOR, simulations of robot navigation were applied in a static known enclosed environment. Experiments are provided to assess the performance of the suggested technique. In particular, different starting and goal positions are used to assess the paths generated from the simulations. The outcomes show the advantages of the proposed algorithm. In the end, the research indicates that the proposed method in computing harmonic functions is appealing and attainable for solving path planning problem.

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Published

27-07-2025