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Solving the Set Packing Problem via a Maximum Weighted Independent Set Heuristic.

Authors :
Li, Ruizhi
Wang, Yupan
Hu, Shuli
Jiang, Jianhua
Ouyang, Dantong
Yin, Minghao
Source :
Mathematical Problems in Engineering. 12/16/2020, p1-11. 11p.
Publication Year :
2020

Abstract

The set packing problem (SPP) is a significant NP-hard combinatorial optimization problem with extensive applications. In this paper, we encode the set packing problem as the maximum weighted independent set (MWIS) problem and solve the encoded problem with an efficient algorithm designed to the MWIS problem. We compare the independent set-based method with the state-of-the-art algorithms for the set packing problem on the 64 standard benchmark instances. The experimental results show that the independent set-based method is superior to the existing algorithms in terms of the quality of the solutions and running time obtained the solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1024123X
Database :
Academic Search Index
Journal :
Mathematical Problems in Engineering
Publication Type :
Academic Journal
Accession number :
147640318
Full Text :
https://doi.org/10.1155/2020/3050714