Title
On Lazy Bin Covering and Packing problems
Abstract
In this paper, we study two interesting variants of the classical bin packing problem, called Lazy Bin Covering (LBC) and Cardinality Constrained Maximum Resource Bin Packing (CCMRBP) problems. For the offline LBC problem, we first prove the approximation ratio of the First-Fit-Decreasing and First-Fit-Increasing algorithms, then present an APTAS. For the online LBC problem, we give a competitive analysis for the algorithms of Next-Fit, Worst-Fit, First-Fit, and a modified HARMONIC"M algorithm. The CCMRBP problem is a generalization of the Maximum Resource Bin Packing (MRBP) problem Boyar et al. (2006) [1]. For this problem, we prove that its offline version is no harder to approximate than the offline MRBP problem.
Year
DOI
Venue
2010
10.1016/j.tcs.2009.10.006
Theor. Comput. Sci.
Keywords
Field
DocType
cardinality constrained maximum resource,packing problem,maximum resource bin packing,offline version,approximation algorithms,lazy bin covering,offline mrbp problem,ccmrbp problem,classical bin packing problem,offline lbc problem,online lbc problem,bin packing,bin packing problem,competitive analysis
Resource management,Discrete mathematics,Combinatorics,Bin,Packing problems,Computer science,Cardinal number,Cardinality,Bin packing problem,Competitive analysis
Journal
Volume
Issue
ISSN
411
1
Theoretical Computer Science
ISBN
Citations 
PageRank 
3-540-36925-2
5
0.55
References 
Authors
15
3
Name
Order
Citations
PageRank
Mingen Lin1664.27
Yang Yang225918.33
Jinhui Xu366578.86