About: Constrained optimization

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In mathematical optimization, constrained optimization (in some contexts called constraint optimization) is the process of optimizing an objective function with respect to some variables in the presence of constraints on those variables. The objective function is either a cost function or energy function, which is to be minimized, or a reward function or utility function, which is to be maximized. Constraints can be either hard constraints, which set conditions for the variables that are required to be satisfied, or soft constraints, which have some variable values that are penalized in the objective function if, and based on the extent that, the conditions on the variables are not satisfied.

Attributes	Values
rdf:type	Election
rdfs:label	Constrained optimization (en)
rdfs:comment	In mathematical optimization, constrained optimization (in some contexts called constraint optimization) is the process of optimizing an objective function with respect to some variables in the presence of constraints on those variables. The objective function is either a cost function or energy function, which is to be minimized, or a reward function or utility function, which is to be maximized. Constraints can be either hard constraints, which set conditions for the variables that are required to be satisfied, or soft constraints, which have some variable values that are penalized in the objective function if, and based on the extent that, the conditions on the variables are not satisfied. (en)
sameAs	Constrained optimization
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Main dbt:Reflist
Subject	Constraint programming Mathematical optimization
Link from a Wikipage to an external page	https://archive.org/details/constraintproces00rina
gold:hypernym	Process
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Constrained_optimization?oldid=1070397210&ns=0
Wikipage page ID	4171950 (xsd:integer)
page length (characters) of wiki page	12763 (xsd:nonNegativeInteger)
Wikipage revision ID	1070397210 (xsd:integer)
Link from a Wikipage to another Wikipage	Local consistency NP-hardness Nonlinear programming Superiorization Branch and bound Constraint programming Mathematical optimization Distributed constraint optimization Quadratic programming Linear programming Time complexity Constrained least squares Constraint (mathematics) Constraint programming Constraint satisfaction problem Convex function Dynamic programming Ellipsoid method Fritz John conditions Composition operator Karush–Kuhn–Tucker conditions Penalty method Integer programming Interior-point method Interval arithmetic Lagrange multiplier Utility Continuous and discrete variables Loss function Mathematical optimization Maxima and minima Reinforcement learning Simplex algorithm dbr:Geometric_optimality_conditions
has abstract	In mathematical optimization, constrained optimization (in some contexts called constraint optimization) is the process of optimizing an objective function with respect to some variables in the presence of constraints on those variables. The objective function is either a cost function or energy function, which is to be minimized, or a reward function or utility function, which is to be maximized. Constraints can be either hard constraints, which set conditions for the variables that are required to be satisfied, or soft constraints, which have some variable values that are penalized in the objective function if, and based on the extent that, the conditions on the variables are not satisfied. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Constrained_optimization
is Wikipage redirect of	Hard constraint Algorithms for solving constrained optimization problems Maratos effect Constrained minimisation Constrained minimization Constrained optimization problem Constraint optimization Methods for solving constrained optimization problems Soft constraint
is Link from a Wikipage to another Wikipage of	Frank–Wolfe algorithm Nurse scheduling problem Adversarial machine learning Barbara Kaltenbacher Black–Litterman model Cascading classifiers Cellular deconvolution Differential evolution Discounted utility Distributed constraint optimization Chemical equilibrium List of numerical analysis topics Constrained conditional model Constrained least squares Constraint Constraint (mathematics) Constraint satisfaction problem Consumer choice Dynamic discrete choice Microeconomics Newton's method in optimization Galahad library Kan extension Hard constraint Design Hamiltonian (control theory) Info-metrics Intertemporal budget constraint Inverse problem Lagrangian relaxation Mathematical programming with equilibrium constraints Maximum likelihood estimation ABS methods Algorithms for solving constrained optimization problems Maratos effect Constrained minimisation Constrained minimization Constrained optimization problem Constraint optimization Methods for solving constrained optimization problems

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