Open Journal of Discrete Mathematics
Volume 4, Issue 2 (April 2014)
ISSN Print: 2161-7635 ISSN Online: 2161-7643
Google-based Impact Factor: 0.64 Citations
The Paired Assignment Problem ()
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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.
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