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EOR
2002
105views more  EOR 2002»
15 years 29 days ago
Two-dimensional packing problems: A survey
We consider problems requiring to allocate a set of rectangular items to larger rectangular standardized units by minimizing the waste. In two-dimensional bin packing problems the...
Andrea Lodi, Silvano Martello, Michele Monaci
FOCS
2006
IEEE
15 years 7 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
AAIM
2008
Springer
116views Algorithms» more  AAIM 2008»
15 years 7 months ago
An Improved Randomized Approximation Algorithm for Maximum Triangle Packing
This paper deals with the maximum triangle packing problem. For this problem, Hassin and Rubinstein gave a randomized polynomial-time approximation algorithm that achieves an expe...
Zhi-Zhong Chen, Ruka Tanahashi, Lusheng Wang
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
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
15 years 2 months ago
An improved approximation algorithm for the partial latin square extension problem
Previous work on the partial Latin square extension (PLSE) problem resulted in a 2-approximation algorithm based on the LP relaxation of a three-dimensional assignment IP formulat...
Carla P. Gomes, Rommel G. Regis, David B. Shmoys