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A note on solving quadratic programs using mixed-integer programming - MaRDI portal

A note on solving quadratic programs using mixed-integer programming (Q1115803)

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scientific article; zbMATH DE number 4087433
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A note on solving quadratic programs using mixed-integer programming
scientific article; zbMATH DE number 4087433

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    A note on solving quadratic programs using mixed-integer programming (English)
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    1989
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    It is well-known that quadratic programs can be solved with linear programming-based algorithms utilizing Kuhn-Tucker optimality conditions. However, due to certain linear complementary conditions, these algorithms require a specialized simplex code with modified rules for basis entry. In this paper we show that these linear complementary conditions can be enforced via a mixed-integer formulation of the quadratic programming problem. This formulation may be solved using any general purpose mixed- integer programming code.
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    Kuhn-Tucker optimality conditions
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    linear complementary
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    mixed-integer formulation
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