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
An effective and simple heuristic for the set covering problem
β Scribed by Guanghui Lan; Gail W. DePuy; Gary E. Whitehouse
- Book ID
- 108118030
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 776 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0377-2217
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A heuristic solution procedure for set covering is presented that works well for large, relatively dense problems. In addition, a confidence interval is established about the unknown global optimum. Results are presented for 30 large randomly generated problems.
In a recent paper, a new surrogate heuristic (SH) has been proposed for the set covering problem. Here we present an adaptation of it in order to solve more efficiently the location set covering problem. We will show that our new version not only outperforms algorithm SH but that it is more accurate
We present a theoretical analysis and an experimental evaluation of four serial heuristics and four parallel heuristics for the minimum set cover problem. The serial heuristics trade off run time with the quality of the solution. The parallel heuristics are derived from one of the serial heuristics.