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Linear programming with uncertainty

(2016)
Author
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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:

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}},
}