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Partitions : optimality and clustering / Frank K. Hwang, Uriel G. Rothblum and Hong-Bin Chen.

By: Hwang, Frank K.
Contributor(s): Rothblum, Uriel G | Chen, Hong-Bin.
Material type: materialTypeLabelBookSeries: Series on applied mathematics ; v 19, 20.Publisher: New Jersey : World Scientific, c2012-2013Description: 2 v. : ill. ; 24 cm.ISBN: 9789812708120 (v. 1 : hardcover : alk. paper); 9789814412346 (v. 2 : hardcover : alk. paper).Subject(s): Partitions (Mathematics)DDC classification: 512.73
Contents:
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.
Summary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
512.73 H991 (Browse shelf) Available 135958
Books Books ISI Library, Kolkata
 
512.73 H991 (Browse shelf) Available 135959
Total holds: 0

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.

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.

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