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About: Total dual integrality     Goto   Sponge   NotDistinct   Permalink

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In mathematical optimization, total dual integrality is a sufficient condition for the integrality of a polyhedron. Thus, the optimization of a linear objective over the integral points of such a polyhedron can be done using techniques from linear programming. A linear system , where and are rational, is called totally dual integral (TDI) if for any such that there is a feasible, bounded solution to the linear program there is an integer optimal dual solution. Note that TDI is a weaker sufficient condition for integrality than total unimodularity.