Title
On greedy algorithms, partially ordered sets, and submodular functions
Abstract
Recent developments in the use of greedy algorithms in linear programming are reviewed and extended. We find a common generalization of some theorems of Queyranne—Spieksma— Tardella, Faigle—Kern, and Fujishige about greedy algorithms for linear programs in diverse contexts. Additionally, we extend a well-known theorem of Topkis about submodular functions on the product of chains to submodular functions on the product of lattices.
Year
DOI
Venue
2003
10.1147/rd.471.0025
IBM Journal of Research and Development
Keywords
Field
DocType
greedy algorithm,linear program,partially ordered set
Maximum coverage problem,Mathematical optimization,Computer science,Submodular set function,Greedy algorithm,Real-time computing,Theoretical computer science,Greedy randomized adaptive search procedure,Partially ordered set
Journal
Volume
Issue
ISSN
47
1
0018-8646
Citations 
PageRank 
References 
11
0.86
4
Authors
2
Name
Order
Citations
PageRank
Brenda L. Dietrich1110.86
Alan J. Hoffman2111.20