Title
An auto-adaptive convex map generating path-finding algorithm: Genetic Convex A*.
Abstract
Path-finding is a fundamental problem in many applications, such as robot control, global positioning system and computer games. Since A* is time-consuming when applied to large maps, some abstraction methods have been proposed. Abstractions can greatly speedup on-line path-finding by combing the abstract and the original maps. However, most of these methods do not consider obstacle distributions, which may result in unnecessary storage and non-optimal paths in certain open areas. In this paper, a new abstract graph-based path-finding method named Genetic Convex A* is proposed. An important convex map concept which guides the partition of the original map is defined. It is proven that the path length between any two nodes within a convex map is equal to their Manhattan distance. Based on the convex map, a fitness function is defined to improve the extraction of key nodes; and genetic algorithm is employed to optimize the abstraction. Finally, the on-line refinement is accelerated by Convex A*, which is a fast alternative to A* on convex maps. Experimental results demonstrated that the proposed abstraction generated by Genetic Convex A*guarantees the optimality of the path whilst searches less nodes during the on-line processing. © 2012 Springer-Verlag.
Year
DOI
Venue
2013
10.1007/s13042-012-0120-x
Int. J. Machine Learning & Cybernetics
Keywords
Field
DocType
path-finding,abstract graph,g-ca*,genetic algorithm,convex map
Mathematical optimization,Convex combination,Convex hull,Algorithm,Convex set,Subderivative,Convex polytope,Proper convex function,Convex optimization,Mathematics,Convex analysis
Journal
Volume
Issue
ISSN
4
5
1868808X
Citations 
PageRank 
References 
8
0.54
20
Authors
4
Name
Order
Citations
PageRank
Pan Su18211.72
Yan Li210111.46
Yingjie Li380.54
Simon Shiu480.54