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CORR
2004
Springer
113views Education» more  CORR 2004»
13 years 9 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 9 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»
12 years 6 days 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
14 years 3 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
14 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