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The Paired Assignment Problem

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DOI: 10.4236/ojdm.2014.42007    3,013 Downloads   4,396 Views  


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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Melkonian, V. (2014) The Paired Assignment Problem. Open Journal of Discrete Mathematics, 4, 44-54. doi: 10.4236/ojdm.2014.42007.


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