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

Nathan Huntley; Rolando Quiñones; Keivan Shariatmadar; Erik Quaeghebeur; Gert De Cooman; Etienne Kerre

doi:10.1142/9789814417747_0075

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

Nathan Huntley, Rolando Quiñones, Keivan Shariatmadar, Erik Quaeghebeur, Gert De Cooman, Etienne Kerre

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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.

Original language	English
Title of host publication	World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.
Publisher	World Scientific
Pages	465-470
Number of pages	6
ISBN (Print)	9789814417730
DOIs	https://doi.org/10.1142/9789814417747_0075
Publication status	Published - 2012
Externally published	Yes
Event	10th International Fuzzy Logic and Intelligent Technologies inNuclear Science Conference, FLINS 2012 - Istanbul, Turkey Duration: 26 Aug 2012 → 29 Aug 2012

Publication series

Name	World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.
Volume	7

Conference

Conference	10th International Fuzzy Logic and Intelligent Technologies inNuclear Science Conference, FLINS 2012
Country/Territory	Turkey
City	Istanbul
Period	26/08/12 → 29/08/12

Access to Document

10.1142/9789814417747_0075

http://hdl.handle.net/1854/LU-3028486

Cite this

Huntley, N., Quiñones, R., Shariatmadar, K., Quaeghebeur, E., De Cooman, G., & Kerre, E. (2012). Implementation of maximin and maximal solutions for linear programming problems under uncertainty. In World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf. (pp. 465-470). (World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.; Vol. 7). World Scientific. https://doi.org/10.1142/9789814417747_0075

Huntley, Nathan ; Quiñones, Rolando ; Shariatmadar, Keivan et al. / Implementation of maximin and maximal solutions for linear programming problems under uncertainty. World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.. World Scientific, 2012. pp. 465-470 (World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.).

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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.",

author = "Nathan Huntley and Rolando Qui{\~n}ones and Keivan Shariatmadar and Erik Quaeghebeur and {De Cooman}, Gert and Etienne Kerre",

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booktitle = "World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.",

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Huntley, N, Quiñones, R, Shariatmadar, K, Quaeghebeur, E, De Cooman, G & Kerre, E 2012, Implementation of maximin and maximal solutions for linear programming problems under uncertainty. in World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.. World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf., vol. 7, World Scientific, pp. 465-470, 10th International Fuzzy Logic and Intelligent Technologies inNuclear Science Conference, FLINS 2012, Istanbul, Turkey, 26/08/12. https://doi.org/10.1142/9789814417747_0075

Implementation of maximin and maximal solutions for linear programming problems under uncertainty. / Huntley, Nathan; Quiñones, Rolando; Shariatmadar, Keivan et al.

World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.. World Scientific, 2012. p. 465-470 (World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.; Vol. 7).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Huntley N, Quiñones R, Shariatmadar K, Quaeghebeur E, De Cooman G, Kerre E. Implementation of maximin and maximal solutions for linear programming problems under uncertainty. In World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.. World Scientific. 2012. p. 465-470. (World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.). https://doi.org/10.1142/9789814417747_0075

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

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