Parametric programming: Difference between revisions

Revision as of 18:41, 8 January 2018

Revision as of 18:43, 8 January 2018

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* If more than one parameter is present, i.e. <math>m > 1</math>, then it is often referred to as multiparametric programming problem<ref>{{cite journal|last1=Gal|first1=Tomas|last2=Nedoma|first2=Josef|title=Multiparametric Linear Programming|journal=Management Science|date=1972|volume=18|issue=7|pages=406–422|jstor=2629358}}</ref>

* If integer variables are present, then the problem is referred to as (multi)parametric mixed-integer programming problem<ref>{{cite journal|last1=Dua|first1=Vivek|last2=Pistikopoulos|first2=Efstratios N.|title=Algorithms for the Solution of Multiparametric Mixed-Integer Nonlinear Optimization Problems|journal=Industrial & Engineering Chemistry Research|date=October 1999|volume=38|issue=10|pages=3976–3987|doi=10.1021/ie980792u}}</ref>

* If constraints are [[Affine transformation|affine]], then additional classifications depending to nature of the objective function in (multi)parametric (mixed-integer) linear, quadratic and nonlinear programming problems is performed. Note that this generally assumes the constraints to be affine.<ref>{{cite book|last1=Pistikopoulos, Efstratios|first1=E. N.; |last2=Georgiadis, Michael|first2=M. C.; |last3=Dua, Vivek|first3=V. |date=2007 |title=Multi-parametric programming:Programming Theory, algorithmsAlgorithms and applications. Weinheim,Applications |publisher=Wiley-VCH, 2007|___location=Weinheim |doi=10.1002/9783527631216 |isbn=9783527316915 }}</ref>

==References==