Advanced search
1 file | 215.22 KB

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

Author
Organization
Project
IWT SBO project 60043, “Fuzzy Finite Element Method”
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.
Keywords
linear programming, maximin, uncertainty, maximality, implementation

Downloads

  • NH-2012-FLINS-paper.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 215.22 KB

Citation

Please use this url to cite or link to this publication:

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 Cengiz 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.
@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},
}

Altmetric
View in Altmetric
Web of Science
Times cited: