Implementation of maximin and maximal solutions for linear programming problems under uncertainty
- Author
- Nathan Huntley (UGent) , Rolando Augusto Quiñones Lara (UGent) , Keivan Shariatmadar, Erik Quaeghebeur (UGent) , Gert De Cooman (UGent) and Etienne Kerre (UGent)
- Organization
- 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
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-3028486
- MLA
- Huntley, Nathan, et al. “Implementation of Maximin and Maximal Solutions for Linear Programming Problems under Uncertainty.” World Scientific Proceedings Series on Computer Engineering and Decision Making, edited by Cengiz Kahraman et al., vol. 7, World Scientific, 2012, pp. 465–70, doi:10.1142/9789814417747_0075.
- 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). https://doi.org/10.1142/9789814417747_0075
- Chicago author-date
- 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, edited by Cengiz Kahraman, Etienne Kerre, and Faik Tunc Bozbura, 7:465–70. Singapore, Singapore: World Scientific. https://doi.org/10.1142/9789814417747_0075.
- Chicago author-date (all authors)
- 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 by. Cengiz Kahraman, Etienne Kerre, and Faik Tunc Bozbura, 7:465–470. Singapore, Singapore: World Scientific. doi:10.1142/9789814417747_0075.
- 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.
- IEEE
- [1]N. Huntley, R. A. Quiñones Lara, K. Shariatmadar, E. Quaeghebeur, G. De Cooman, and E. Kerre, “Implementation of maximin and maximal solutions for linear programming problems under uncertainty,” in World Scientific Proceedings Series on Computer Engineering and Decision Making, Istanbul, Turkey, 2012, vol. 7, pp. 465–470.
@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 Quiñones 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}},
keywords = {{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://doi.org/10.1142/9789814417747_0075}},
volume = {{7}},
year = {{2012}},
}
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