A Lagrangian-based heuristic for large-scale set covering problems
✍ Scribed by Sebastián Ceria; Paolo Nobili; Antonio Sassano
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 976 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0025-5610
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## 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 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
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