Approximation algorithms for shortest path motion planning
STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Approximate Euclidean shortest path in 3-space
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
A single-exponential upper bound for finding shortest paths in three dimensions
Journal of the ACM (JACM)
An introduction to genetic algorithms
An introduction to genetic algorithms
Practical Handbook of Genetic Algorithms
Practical Handbook of Genetic Algorithms
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
ACM SIGCOMM Computer Communication Review - Workshop on data communication in Latin America and the Caribbean
New results on shortest paths in three dimensions
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
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We present an evolutionary approach to search for near-optimal solutions for the shortest path motion problem in three dimensions (between a starting and an ending point) in the presence of obstacles. The proposed genetic algorithm makes use of newly defined concepts of crossover and mutation and effective, problem optimized, methods for candidate solution generation. We test the performances of the algorithm on several test cases.