Requiring Connectivity in the Set Covering Problem
β Scribed by J. Orestes Cerdeira; Leonor S. Pinto
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 124 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1382-6905
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study a generalization of the weighted set covering problem where every element needs to be covered multiple times. When no set contains more than two elements, we can solve the problem in polynomial time by solving a corresponding weighted perfect __b__βmatching problem. In general,
In this paper a simple Lagrangian heuristic is proposed for the set covering problem. It is based on simple and classica1 ideas: Lagrangian duality, greedy heuristic for the set covering problem, subgradient optimization and redundant covers. The main interesting point of the paper lies in the fact