NDLI: Improved Approximation Guarantees for Packing and Covering Integer Programs

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Srinivasan, Aravind
Copyright Year	1999
Abstract	Several important NP-hard combinatorial optimization problems can be posed as packing/covering integer programs; the randomized rounding technique of Raghavan and Thompson is a powerful tool with which to approximate them well. We present one elementary unifying property of all these integer linear programs and use the FKG correlation inequality to derive an improved analysis of randomized rounding on them. This yields a pessimistic estimator, thus presenting deterministic polynomial-time algorithms for them with approximation guarantees that are significantly better than those known.
Starting Page	648
Ending Page	670
Page Count	23
File Format	PDF
ISSN	00975397
DOI	10.1137/S0097539796314240
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	2
Volume Number	29
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-27
Access Restriction	Subscribed
Subject Keyword	integer programming linear relaxations Combinatorial probability Linear programming positive correlation derandomization linear programming approximation algorithms randomized rounding Discrete location and assignment Combinatorial optimization Integer programming combinatorial optimization packing integer programs covering integer programs Combinatorics rounding theorems correlation inequalities
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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Improved Approximation Guarantees for Packing and Covering Integer Programs