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Optimality Criteria

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Encyclopedia of Operations Research and Management Science
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Mathematical conditions used to test whether or not a given feasible solution is optimal in an optimization problem. Examples include the Karush-Kuhn-Tucker conditions for some nonlinear-programming problems; the simplex algorithm test applied to the reduced costs of the nonbasic variables for linear-programming problems; the Bellman optimality equation for dynamic programming, and the Hamilton-Jacobi-Bellman equation for optimal control.

See

Bellman Optimality Equation

Hamilton-Jacobi-Bellman Equation

Karush-Kuhn-Tucker (KKT) Conditions

Linear Programming

Nonlinear Programming

Simplex Method (Algorithm)

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© 2013 Springer Science+Business Media New York

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(2013). Optimality Criteria. In: Gass, S.I., Fu, M.C. (eds) Encyclopedia of Operations Research and Management Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1153-7_200553

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  • DOI: https://doi.org/10.1007/978-1-4419-1153-7_200553

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