The tree center problems are designed to find a subtree minimizing the maximum distance from any vertex. This paper shows that these problems in a tree network are related to the bottleneck knapsack problems and presents linear-time algorithms for the tree center problems by using the relation.
The bottleneck problem with minimum quantity commitments
β Scribed by Andrew Lim; Zhou Xu
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 206 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Given an edgeβdistance graph of a set of suppliers and clients, the bottleneck problem is to assign each client to a selected supplier minimizing their maximum distance. We introduce minimum quantity commitments to balance workloads of suppliers, provide the best possible approximation algorithm, and study its generalizations and specializations. Β© 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006
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