Algorithmica

, Volume 53, Issue 2, pp 157–171

A PTAS for Cutting Out Polygons with Lines

Article

Abstract

We present a simple O(m+n6/ε12) time (1+ε)-approximation algorithm for finding a minimum-cost sequence of lines to cut a convex n-gon out of a convex m-gon.

Keywords

Approximation algorithms Stock cutting 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of Texas at DallasRichardsonUSA
  2. 2.Department of Computer ScienceUtah State UniversityLoganUSA

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