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Solving a Path Assignment Problem using s-t Cuts  

Kim, Tae-Jung (Department of Mechanical Engineering, Dankook Univ.)
Publication Information
Journal of the Korean Society for Precision Engineering / v.26, no.2, 2009 , pp. 141-147 More about this Journal
Abstract
We introduce a noble method to find a variation of the optimal path problem. The problem is to find the optimal decomposition of an original planar region such that the number of paths in the region is minimized. The paths are required to uniformly cover each subregion and the directions of the paths in each sub-region are required to be either entirely vertical or entirely horizontal. We show how we can transform the path problem into a graph s-t cut problem. We solve the transformed s-t cut problem using the Ford-Fulkerson method and show its performance. The approach can be used in zig-zag milling and layerd manufacturing.
Keywords
Toolpaths; s-t Cut; Layered Manufacturing; Graph;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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