Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Gotzes, Uwe
Titre(s) : Decision making with dominance constraints in two-stage stochastic integer programming [Texte électronique] / Uwe Gotzes ; with a foreword by Rüdiger Schultz
Édition : 1. Aufl
Publication : Wiesbaden : Vieweg+Teubner Research, cop. 2009
Description matérielle : 1 online resource (89 pages)
Collection : Vieweg+Teubner research. Stochastic programming
Note(s) : Includes bibliographical references and index. - Print version record.
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
Sujet(s) : Analyse stochastique
Programmation stochastique
Prise de décision
Indice(s) Dewey :
510 (23e éd.) = Mathématiques
Identifiants, prix et caractéristiques : ISBN 9783834899910
Identifiant de la notice : ark:/12148/cb44716068h
Notice n° :
FRBNF44716068
(notice reprise d'un réservoir extérieur)
Table des matières : Increasing Convex Order Constraints Induced by Mixed-Integer Linear Recourse ; Competitive
Risk-Averse Selling Price Determination for Electricity Retailers ; Decomposition
Method ; Test Instances ; An Alternative Formulation for Optimization under Stochastic
Dominance Constraints.