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Implementation of maximin and maximal solutions for linear programming problems under uncertainty

Nathan Huntley UGent, Rolando Augusto Quiñones Lara UGent, Keivan Shariatmadar UGent, Erik Quaeghebeur UGent, Gert De Cooman UGent and Etienne Kerre UGent (2012) World Scientific Proceedings Series on Computer Engineering and Decision Making. 7. p.465-470
abstract
We present a software implementation of the methods for solving linear programming problems under uncertainty from previous work. Uncertainties about constraint parameters can be expressed as intervals or trapezoidal possibility distributions. The software computes the solutions for the optimality criteria maximin and maximality. For maximality with possibility distributions, only an approximate solution is obtained.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
linear programming, maximin, uncertainty, maximality, implementation
in
World Scientific Proceedings Series on Computer Engineering and Decision Making
editor
Cengiz Kahraman, Etienne Kerre UGent and Faik Tunc Bozbura
volume
7
issue title
Uncertainty modeling in knowledge engineering and decision making : proceedings of the 10th international FLINS conference
article_number
204
pages
465 - 470
publisher
World Scientific
place of publication
Singapore, Singapore
conference name
10th International FLINS conference on Uncertainty Modeling in Knowledge Engineering and Decision Making (FLINS 2012)
conference location
Istanbul, Turkey
conference start
2012-08-26
conference end
2012-08-29
Web of Science type
Proceedings Paper
Web of Science id
000338165600079
ISBN
9789814417730
DOI
10.1142/9789814417747_0075
project
IWT SBO project 60043, “Fuzzy Finite Element Method”
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
3028486
handle
http://hdl.handle.net/1854/LU-3028486
date created
2012-10-14 13:27:16
date last changed
2014-08-28 16:10:25
@inproceedings{3028486,
  abstract     = {We present a software implementation of the methods for solving linear programming problems under uncertainty from previous work. Uncertainties about constraint parameters can be expressed as intervals or trapezoidal possibility distributions. The software computes the solutions for the optimality criteria maximin and maximality. For maximality with possibility distributions, only an approximate solution is obtained.},
  articleno    = {204},
  author       = {Huntley, Nathan and Qui{\~n}ones Lara, Rolando Augusto and Shariatmadar, Keivan and Quaeghebeur, Erik and De Cooman, Gert and Kerre, Etienne},
  booktitle    = {World Scientific Proceedings Series on Computer Engineering and Decision Making},
  editor       = {Kahraman, Cengiz  and Kerre, Etienne and Tunc Bozbura, Faik},
  isbn         = {9789814417730},
  keyword      = {linear programming,maximin,uncertainty,maximality,implementation},
  language     = {eng},
  location     = {Istanbul, Turkey},
  pages        = {204:465--204:470},
  publisher    = {World Scientific},
  title        = {Implementation of maximin and maximal solutions for linear programming problems under uncertainty},
  url          = {http://dx.doi.org/10.1142/9789814417747\_0075},
  volume       = {7},
  year         = {2012},
}

Chicago
Huntley, Nathan, Rolando Augusto Quiñones Lara, Keivan Shariatmadar, Erik Quaeghebeur, Gert De Cooman, and Etienne Kerre. 2012. “Implementation of Maximin and Maximal Solutions for Linear Programming Problems Under Uncertainty.” In World Scientific Proceedings Series on Computer Engineering and Decision Making, ed. Cengiz Kahraman, Etienne Kerre, and Faik Tunc Bozbura, 7:465–470. Singapore, Singapore: World Scientific.
APA
Huntley, N., Quiñones Lara, R. A., Shariatmadar, K., Quaeghebeur, E., De Cooman, G., & Kerre, E. (2012). Implementation of maximin and maximal solutions for linear programming problems under uncertainty. In C. Kahraman, E. Kerre, & F. Tunc Bozbura (Eds.), World Scientific Proceedings Series on Computer Engineering and Decision Making (Vol. 7, pp. 465–470). Presented at the 10th International FLINS conference on Uncertainty Modeling in Knowledge Engineering and Decision Making (FLINS 2012), Singapore, Singapore: World Scientific.
Vancouver
1.
Huntley N, Quiñones Lara RA, Shariatmadar K, Quaeghebeur E, De Cooman G, Kerre E. Implementation of maximin and maximal solutions for linear programming problems under uncertainty. In: Kahraman C, Kerre E, Tunc Bozbura F, editors. World Scientific Proceedings Series on Computer Engineering and Decision Making. Singapore, Singapore: World Scientific; 2012. p. 465–70.
MLA
Huntley, Nathan, Rolando Augusto Quiñones Lara, Keivan Shariatmadar, et al. “Implementation of Maximin and Maximal Solutions for Linear Programming Problems Under Uncertainty.” World Scientific Proceedings Series on Computer Engineering and Decision Making. Ed. Cengiz Kahraman, Etienne Kerre, & Faik Tunc Bozbura. Vol. 7. Singapore, Singapore: World Scientific, 2012. 465–470. Print.