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SPEPS Preprint

Author(s): Werner Römisch, Humboldt University Berlin
Rüdiger Schultz, Gerhard-Mercator-University Duisburg
Title: Multistage stochastic integer programs – An introduction
Date of Acceptance: 04.04.2001
Submission Date: 02.02.2001
Series Title: Stochastic Programming E-Print Series
(SPEPS)
Editors: Julie L. Higle; Werner Römisch; Surrajeet Sen
Appeared in: Online Optimization of Large Scale Systems (Buch) (2001)
Springer (Berlin [u.a.])
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Abstract (eng):
We consider linear mulitstage stochastic integer programs and study their functional and dynamic programming formulations as well as conditions for optimality and stability of solutions. Furthermore, we study the application of the Rockafellar-Wets dualization approach as well as the structure and algorithmic potential of corresponding dual problems. For discrete underlying probability distributions we discuss possible large scale mixed-integer linear programming formulations and three dual decomposition approaches, namely, scenario, component and nodal decomposition.
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