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EOR
2002
105views more  EOR 2002»
14 years 9 months 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 3 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 4 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»
14 years 11 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»
14 years 11 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