|edoc-Server der Humboldt-Universität zu Berlin|
Morten Riis, University of Aarhus|
Rüdiger Schultz, Gerhard-Mercator University Duisburg
|Title:||Applying the minimum risk criterion in stochastic recourse programs|
|Date of Acceptance:||26.06.2001|
Stochastic Programming E-Print Series |
|Editors:||Julie L. Higle; Werner Römisch; Surrajeet Sen|
Computational optimization and applications : an international journal 2-3 (Vol. 24, 2003)
Springer Science + Business Media B.V. (New York, NY [u.a.])
|Metadata export: To export the complete metadata set as Endote or Bibtex format please click to the appropriate link.||Endnote Bibtex|
|In the setting of stochastic recourse programs, we consider the problem of minimizing the probability of total costs exceeding a certain threshold value. The problem is referred to as the minimum risk problem and is posed in order to obtain a more adequate description of risk aversion than that of the accustomed expected value problem. We establish continuity properties of the recourse function as a function of the first-stage decision, as well as of the underlying probability distribution or random parameters. This leads to stability results for the optimal solution of the minimum risk problem when the underlying probability distribution is subjected to perturbations. Furthermore, an algorithm for the minimum risk problem is elaborated and we present results of some preliminary computational experiments.|
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