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Start Over Topic algorithms Topic assignment problems (programming) Topic mathematical optimization Topic transportation problems (programming) Database Academic Search Index
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1. A dynamic programming algorithm for tree-like weighted set packing problem

Author

Gulek, Mehmet and Toroslu, Ismail Hakki

Subjects
*DYNAMIC programming, *ALGORITHMS, *SET theory, *COMBINATORIAL packing & covering, *ASSIGNMENT problems (Programming), *TRANSPORTATION problems (Programming), *COMPUTATIONAL complexity, *TREE graphs, *MATHEMATICAL optimization
Abstract

Abstract: 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. [ABSTRACT FROM AUTHOR]

Published
2010
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2. O(N log N) Algorithm for the Rectilinear Round-Trip Location Problem.

Author

Drezner, Zvi

Subjects
*MEASUREMENT of distances, *ALGORITHMS, *TRANSPORTATION problems (Programming), *TRAFFIC assignment, *TRANSPORTATION, *MATHEMATICAL models, *MATHEMATICAL optimization, *ASSIGNMENT problems (Programming), *LINEAR programming
Abstract

The article presents O(N log N) algorithm for the rectilinear round-trip location problem. It refers to papers by authors A.W. Chan and D.W. Hearn, where the problem definition is given and by authors T. Ichimori and T. Nishida, where it is shown that this problem can be solved in O(N log N) time.

Published
1985
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