Total dual integrality

In mathematical optimization, total dual integrality is a sufficient condition for the integrality of a polyhedron. ^[1]

4 relations: Integer programming, Linear programming, Mathematical optimization, Simplex algorithm.

Integer programming

An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.

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Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

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Mathematical optimization

In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.

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Simplex algorithm

In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming.

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References

[1] https://en.wikipedia.org/wiki/Total_dual_integrality

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