Title
The Mean-Partition Problem
Abstract
In mean-partition problems the goal is to partition a finite set of elements, each associated with a d-vector, into p disjoint parts so as to optimize an objective, which depends on the averages of the vectors that are assigned to each of the parts. Each partition is then associated with a d 脳 p matrix whose columns are the corresponding averages and a useful approach in studying the problem is to explore the mean-partition polytope, defined as the convex hull of the set of matrices associated with feasible partitions.
Year
DOI
Venue
2006
10.1007/s10898-006-9025-0
J. Global Optimization
Keywords
Field
DocType
Partition Problems,Combinatorial Optimization,Means
Partition problem,Discrete mathematics,Mathematical optimization,Combinatorics,Finite set,Disjoint sets,P-matrix,Matrix (mathematics),Convex hull,Convex polytope,Partition (number theory),Mathematics
Journal
Volume
Issue
ISSN
36
1
0925-5001
Citations 
PageRank 
References 
0
0.34
9
Authors
3
Name
Order
Citations
PageRank
Fei-Hwang Chang130.72
Frank K. Hwang200.34
Uriel G. Rothblum3595125.62