Research ArticleOpen AccessGoogle Scholar indexed
The Paired Assignment Problem
Department of Mathematics, Ohio University, Athens, USA
- 1 Department of Mathematics, Ohio University, Athens, USA
Open Journal of Discrete Mathematics·Volume 04 (2014)·Pages 44–54·Published 10 April 2014·DOI10.4236/ojdm.2014.42007
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Abstract
We consider a variation of the maximum bipartite matching problem where each completed task must have at least two agents assigned to it. We give an integer programming formulation for the problem, and prove that the basic solutions of LP-relaxation are half-integral. It is shown that a fractional basic solution can be further processed to obtain an optimal solution to the problem.
KeywordsMatching ProblemsLinear ProgrammingBasic SolutionsGraph Algorithms
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