Title
Clustering In Discrete Path Planning For Approximating Minimum Length Paths
Abstract
In this paper we consider discrete robot path planning problems on metric graphs. We propose a clustering method, Gamma-Clustering for the planning graph that significantly reduces the number of feasible solutions, yet retains a solution within a constant factor of the optimal. By increasing the input parameter Gamma, the constant factor can be decreased, but with less reduction in the search space. We provide a simple polynomial-time algorithm for finding optimal Gamma-Clusters, and show that for a given Gamma, this optimal is unique. We demonstrate the effectiveness of the clustering method on traveling salesman instances, showing that for many instances we obtain significant reductions in computation time with little to no reduction in solution quality.
Year
Venue
DocType
2017
2017 AMERICAN CONTROL CONFERENCE (ACC)
Conference
Volume
ISSN
Citations 
abs/1702.08410
0743-1619
0
PageRank 
References 
Authors
0.34
12
2
Name
Order
Citations
PageRank
Frank Imeson1533.74
Stephen L Smith2116383.01