TY  - BOOK
AU  - Hwang,Frank K.
AU  - Rothblum,Uriel G.
AU  - Chen,Hong-Bin
TI  - Partitions: optimality and clustering 
T2  - Series on applied mathematics
SN  - 9789812708120 (v. 1 : hardcover : alk. paper)
U1  - 512.73 23
PY  - 2012///-2013
CY  - New Jersey
PB  - World Scientific
KW  - Partitions (Mathematics)
N1  - Hong-Bin Chen is co-author of vol.2; Includes bibliographical references and index; v. I. Single-parameter:
1. Formulation and examples--
2. Sum-Partition problems over single-parameter spaces: Explicit solutions--
3.Extreme points and optimality--
4. Permutation polytopes--
5. Sum-partition problems over single-parameter spaces: polyhedral approach--
6. Partitions over single-parameter spaces: combinatorial structure--
7. Partition problems over single-parameter spaces: combinatorial approach--
Bibliography--
Index.

v. II. Multi-parameter:
1. Bounded-shape sum-partition problems: polyhedral approach--
2. Constrained-shape and single-size sum-partition problems: polynomial approach--
3. Partitions over multi-parameter spaces: combinatorial structure--
4. Clustering problems over multi-parameter spaces--
5. Sum-multipartition problems over single-parameter spaces--
6. Applications--
Bibliography--
Index
N2  - The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The "clustering" problem, which has received a lot of attention, is a special case of optimal partitioning. This book attempts to collect the theoretical developments of optimal partitions
ER  -