NDLI: New Bounds for Multidimensional Packing

Content Provider	Springer Nature Link
Copyright Year	2003
Abstract	New upper and lower bounds are presented for a multidimensional generalization of bin packing called box packing. Several variants of this problem, including bounded space box packing, square packing, variable-sized box packing and resource augmented box packing are also studied. The main results, stated for d=2 , are as follows: a new upper bound of 2.66013 for online box packing, a new 14/9 + ɛ polynomial time offline approximation algorithm for square packing, a new upper bound of 2.43828 for online square packing, a new lower bound of 1.62176 for online square packing, a new lower bound of 2.28229 for bounded space online square packing and a new upper bound of 2.32571 for online two-sized box packing.
Starting Page	261
Ending Page	293
Page Count	33
File Format	PDF
ISSN	01784617
Journal	Algorithmica
Volume Number	36
Issue Number	3
e-ISSN	14320541
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-05-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bin packing Box packing Approximation algorithms Online algorithms Algorithm Analysis and Problem Complexity Theory of Computation Mathematics of Computing Algorithms Computer Systems Organization and Communication Networks Data Structures, Cryptology and Information Theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Science Applications

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New Bounds for Multidimensional Packing