A note on solving quadratic programs using mixed-integer programming (Q1115803)
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scientific article; zbMATH DE number 4087433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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