Category:Vanishing constraints - Revision history

JonasSchulze: Text replacement - "" to ""

2016-01-23T10:10:59Z

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	== References ==		== References ==
	<~~bibreferences~~/>		<biblist />

	[[Category:Objective characterization]]		[[Category:Objective characterization]]

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2016-01-20T17:54:23Z

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	with smooth functions <math>g, h: \R^{n_y} \mapsto \R^m</math> is called MPVC. Note that every MPVC can be transformed into an [[:Category:Equilibrium constraints \| MPEC]] <~~bibref>~~Achtziger2008</~~bibref~~><~~bibref>~~Izmailov2009</~~bibref~~>. Examples for vanishing constraints are engine speed constraints that are only active if the corresponding gear control is nonzero.		with smooth functions <math>g, h: \R^{n_y} \mapsto \R^m</math> is called MPVC. Note that every MPVC can be transformed into an [[:Category:Equilibrium constraints \| MPEC]] <bib id="Achtziger2008" /><bib id="Izmailov2009" />. Examples for vanishing constraints are engine speed constraints that are only active if the corresponding gear control is nonzero.

	== References ==		== References ==

SebastianSager: Initial setup of IMA paper text

2010-11-20T12:14:24Z

Initial setup of IMA paper text

New page

This category contains mathematical programs with vanishing constraints (MPVCs). The problem

<center>
<math>
\begin{array}{llcl}
\displaystyle \min_{y} & & & \Phi(y) \\[1.5ex]
\mbox{s.t.} & 0 & \ge & g_i(y) h_i(y), \quad i \in \{1, \dots, m\}\\
& 0 & \le & \le h(y) \\
\end{array}
</math>
</center>

with smooth functions <math>g, h: \R^{n_y} \mapsto \R^m</math> is called MPVC. Note that every MPVC can be transformed into an [[:Category:Equilibrium constraints | MPEC]] <bibref>Achtziger2008</bibref><bibref>Izmailov2009</bibref>. Examples for vanishing constraints are engine speed constraints that are only active if the corresponding gear control is nonzero.

== References ==
<bibreferences/>

[[Category:Objective characterization]]