- Author
- Keivan Shariatmadar and Gert de Cooman (UGent)
- Organization
- Abstract
- We consider linear programming problems for which there is uncertainty about coefficient matrices in constraints and/or in goal function. The aim is to reduce such problems to (linear) optimization problems without uncertainty using imprecise decision theory. Our approach is based on reformulating of the original problem as a decision problem under uncertainty. We investigate what results can be obtained for different types of uncertainty models—linear and vacuous previsions, and possibility distributions—for two different optimality criteria: maximinity and maximality. We present some general results and simple illustrations.
- Keywords
- maximinity, imprecise decision making, linear programming, coherent lower prevision, hypograph., maximality
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-3028491
- MLA
- Shariatmadar, Keivan, and Gert de Cooman. Linear Programming with Uncertainty. 2016.
- APA
- Shariatmadar, K., & de Cooman, G. (2016). Linear programming with uncertainty.
- Chicago author-date
- Shariatmadar, Keivan, and Gert de Cooman. 2016. “Linear Programming with Uncertainty.”
- Chicago author-date (all authors)
- Shariatmadar, Keivan, and Gert de Cooman. 2016. “Linear Programming with Uncertainty.”
- Vancouver
- 1.Shariatmadar K, de Cooman G. Linear programming with uncertainty. 2016.
- IEEE
- [1]K. Shariatmadar and G. de Cooman, “Linear programming with uncertainty.” 2016.
@misc{3028491,
abstract = {{We consider linear programming problems for which there is uncertainty about coefficient matrices in constraints and/or in goal function. The aim is to reduce such problems to (linear) optimization problems without uncertainty using imprecise decision theory. Our approach is based on reformulating of the original problem as a decision problem under uncertainty. We investigate what results can be obtained for different types of uncertainty models—linear and vacuous previsions, and possibility distributions—for two different optimality criteria: maximinity and maximality. We present some general results and simple illustrations.}},
author = {{Shariatmadar, Keivan and de Cooman, Gert}},
keywords = {{maximinity,imprecise decision making,linear programming,coherent lower prevision,hypograph.,maximality}},
language = {{eng}},
pages = {{23}},
title = {{Linear programming with uncertainty}},
year = {{2016}},
}