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IPCO
2008
129views Optimization» more  IPCO 2008»
15 years 2 months ago
A Polynomial Time Approximation Scheme for the Square Packing Problem
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomi...
Klaus Jansen, Roberto Solis-Oba
JCO
2010
182views more  JCO 2010»
14 years 11 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
SODA
2008
ACM
138views Algorithms» more  SODA 2008»
15 years 2 months ago
Fully polynomial time approximation schemes for stochastic dynamic programs
We develop a framework for obtaining Fully Polynomial Time Approximation Schemes (FPTASs) for stochastic univariate dynamic programs with either convex or monotone single-period c...
Nir Halman, Diego Klabjan, Chung-Lun Li, James B. ...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 4 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
FOCS
2008
IEEE
15 years 7 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...