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CORR
2004
Springer
113views Education» more  CORR 2004»
13 years 4 months ago
A General Framework for Bounds for Higher-Dimensional Orthogonal Packing Problems
Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. In the context of a branch-and-bound framewo...
Sándor P. Fekete, Jörg Schepers
EOR
2007
104views more  EOR 2007»
13 years 4 months ago
A cutting-plane approach for the two-dimensional orthogonal non-guillotine cutting problem
The two-dimensional orthogonal non-guillotine cutting problem (NGCP) appears in many industries (like wood and steel industries) and consists in cutting a rectangular master surfa...
Roberto Baldacci, Marco A. Boschetti
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 7 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
COMPGEOM
2004
ACM
13 years 10 months ago
Binary space partitions of orthogonal subdivisions
We consider the problem of constructing binary space partitions (BSPs) for orthogonal subdivisions (space filling packings of boxes) in d-space. We show that a subdivision with n...
John Hershberger, Subhash Suri, Csaba D. Tó...
FOCS
2006
IEEE
13 years 10 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