Decision Making With Dominance Constraints In Two-Stage Stochastic Integer Programming (Stochastic Programming) - Softcover

Gotzes, Uwe

 
9783834808431: Decision Making With Dominance Constraints In Two-Stage Stochastic Integer Programming (Stochastic Programming)
Softcover
ISBN 10: 3834808431 ISBN 13: 9783834808431
Verlag: Vieweg and Teubner, 2009

Inhaltsangabe

Two-stage stochastic programming models are considered as attractive tools for making optimal decisions under uncertainty. Traditionally, optimality is formalized by applying statistical parameters such as the expectation or the conditional value at risk to the distributions of objective values. Uwe Gotzes analyzes an approach to account for risk aversion in two-stage models based upon partial orders on the set of real random variables. These stochastic orders enable the incorporation of the characteristics of whole distributions into the decision process. The profit or cost distributions must pass a benchmark test with a given acceptable distribution. Thus, additional objectives can be optimized. For this new class of stochastic optimization problems, results on structure and stability are proven and a tailored algorithm to tackle large problem instances is developed. This implications of the modeling background and numerical results from the application of the proposed algorithm are demonstrated with case studies from energy trading.

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Über die Autorin bzw. den Autor

Dr. Uwe Gotzes completed his doctoral thesis at the Department of Mathematics at the University of Duisburg-Essen. He is a network planner at E.ON Gastransport.

Von der hinteren Coverseite

Two-stage stochastic programming models are considered as attractive tools for making optimal decisions under uncertainty. Traditionally, optimality is formalized by applying statistical parameters such as the expectation or the conditional value at risk to the distributions of objective values.

Uwe Gotzes analyzes an approach to account for risk aversion in two-stage models based upon partial orders on the set of real random variables. These stochastic orders enable the incorporation of the characteristics of whole distributions into the decision process. The profit or cost distributions must pass a benchmark test with a given acceptable distribution. Thus, additional objectives can be optimized. For this new class of stochastic optimization problems, results on structure and stability are proven and a tailored algorithm to tackle large problem instances is developed. The implications of the modelling background and numerical results from the application of the proposed algorithm are demonstrated with case studies from energy trading.

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Verlag
Vieweg and Teubner
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3834808431
ISBN 13 
9783834808431
Einband
Tapa blanda
Anzahl der Seiten
104
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Verantwortliche Person
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