The essential multiobjectivity of linear programming

The essential multiobjectivity of linear programming

It is argued that any non-trivial real world problems involve multiple objectives. The simplistic approach of combining objectives in linear form can generate highly misleading and biased results, and is poor operational research practice. Such biases are illustrated by means of a simple example, an...

Full description

Bibliographic Details
Main Author: TJ Stewart
Format: Article
Language:English
Published: Operations Research Society of South Africa (ORSSA) 2007-06-01
Series:ORiON
Online Access:http://orion.journals.ac.za/pub/article/view/43
id doaj-50205c5497af4f3e962281e6964c6546
record_format Article
spelling doaj-50205c5497af4f3e962281e6964c65462020-11-24T22:50:35ZengOperations Research Society of South Africa (ORSSA)ORiON2224-00042007-06-0123110.5784/23-1-4343The essential multiobjectivity of linear programmingTJ Stewart0Department of Statistical Sciences, University of Cape TownIt is argued that any non-trivial real world problems involve multiple objectives. The simplistic approach of combining objectives in linear form can generate highly misleading and biased results, and is poor operational research practice. Such biases are illustrated by means of a simple example, and it is demonstrated that two simple approaches based on goal programming and piecewise linear value functions can largely resolve these problems. These methods require careful attention to problem structuring but are easily implemented by use of standard linear programming (LP) packages.http://orion.journals.ac.za/pub/article/view/43
collection DOAJ
language English
format Article
sources DOAJ
author TJ Stewart
spellingShingle TJ Stewart
The essential multiobjectivity of linear programming
ORiON
author_facet TJ Stewart
author_sort TJ Stewart
title The essential multiobjectivity of linear programming
title_short The essential multiobjectivity of linear programming
title_full The essential multiobjectivity of linear programming
title_fullStr The essential multiobjectivity of linear programming
title_full_unstemmed The essential multiobjectivity of linear programming
title_sort essential multiobjectivity of linear programming
publisher Operations Research Society of South Africa (ORSSA)
series ORiON
issn 2224-0004
publishDate 2007-06-01
description It is argued that any non-trivial real world problems involve multiple objectives. The simplistic approach of combining objectives in linear form can generate highly misleading and biased results, and is poor operational research practice. Such biases are illustrated by means of a simple example, and it is demonstrated that two simple approaches based on goal programming and piecewise linear value functions can largely resolve these problems. These methods require careful attention to problem structuring but are easily implemented by use of standard linear programming (LP) packages.
url http://orion.journals.ac.za/pub/article/view/43
work_keys_str_mv AT tjstewart theessentialmultiobjectivityoflinearprogramming
AT tjstewart essentialmultiobjectivityoflinearprogramming
_version_ 1725671942702235648

Similar Items