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Operations Research Letters
Article . 2010 . Peer-reviewed
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Piecewise linear approximation of functions of two variables in MILP models

descriptionPublicationkeyboard_double_arrow_right Article , Journal 01 Jan 2010 Canada, Italy Publisher:Elsevier BVJournal:Operations Research Letters, volume 38, pages 39-46 (issn: 0167-6377, Copyright policy )
Authors: D'AMBROSIO, CLAUDIA; LODI, ANDREA; MARTELLO, SILVANO;

doi: 10.1016/j.orl.2009.09.005

handle: 11585/78272

Piecewise linear approximation of functions of two variables in MILP models

Abstract

We consider three easy-to-implement methods for the piecewise linear approximation of functions of two variables. We experimentally evaluate their approximation quality, and give a detailed description of how the methods can be embedded in a MILP model. The advantages and drawbacks of the three methods are discussed on numerical examples.

Countries
Canada, Italy
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Keywords

MIXED INTEGER LINEAR PROGRAMMING; NON-LINEAR FUNCTIONS OF TWO VARIABLES; PIECEWISE LINEAR APPROXIMATION

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
160
Top 1%
Top 1%
Top 10%
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