Linear optimization: Parametrical objective function 4: Unterschied zwischen den Versionen

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=Linear optimization: Parametrical objective function=
 
  
 
'''Parametrical objective function''' is a special part  of linear optimization.
 
'''Parametrical objective function''' is a special part  of linear optimization.
 
The foundation of parametrical optimization is the sensitivity analysis.
 
The foundation of parametrical optimization is the sensitivity analysis.
 
Compared  to the [[sensitivity analysis]] the Parametrical objective function ''makes a statement about large changes in the input data''.
 
Compared  to the [[sensitivity analysis]] the Parametrical objective function ''makes a statement about large changes in the input data''.
 
 
  
 
=Basic  Knowledge=
 
=Basic  Knowledge=

Version vom 26. Juni 2013, 13:28 Uhr

Parametrical objective function is a special part of linear optimization. The foundation of parametrical optimization is the sensitivity analysis. Compared to the sensitivity analysis the Parametrical objective function makes a statement about large changes in the input data.

Basic Knowledge

To include large changes in the input data you have to add a new variable "q". For simple cases you just summate the new variable "q" multiplicated with a constant vektor "ß" to the objective function. In this case the constant vektor is the value which change the input parameter "c".

The objectiv function is now with a parameter:

c(q)=c+q*ß

Thereby there is a new optimization problem which can be solved.


P(q)=(c+q*ß)^T x --> max! Ax=b

Fehler beim Parsen (http://mathoid.testme.wmflabs.org Serverantwort ist ungültiges JSON.): x=>0


Exemplification