A dynamic programming algorithm for tree-like weighted set packing problem

In hierarchical organizations, hierarchical structures naturally correspond to nested sets. That is, we have a collection of sets such that for any two sets, either one of them is a subset of the other, or they are disjoint. In other words, a nested set system forms a hierarchy in the form of a tree structure. The task assignment problem on such hierarchical organizations is a real life problem. In this paper, we introduce the tree-like weighted set packing problem, which is a weighted set packing problem restricted to sets forming tree-like hierarchical structure. We propose a dynamic programming algorithm with cubic time complexity.


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Citation Formats
M. Gulek and İ. H. Toroslu, “A dynamic programming algorithm for tree-like weighted set packing problem,” INFORMATION SCIENCES, pp. 3974–3979, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39189.