Risk‐Averse Two‐Stage Stochastic Linear Programming: Modeling and Decomposition

Risk‐Averse Two‐Stage Stochastic Linear Programming: Modeling and Decomposition

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Article ID: iaor20113622
Volume: 59
Issue: 1
Start Page Number: 125
End Page Number: 132
Publication Date: Jan 2011
Journal: Operations Research
Authors: ,
Keywords: programming: linear
Abstract:

We formulate a risk‐averse two‐stage stochastic linear programming problem in which unresolved uncertainty remains after the second stage. The objective function is formulated as a composition of conditional risk measures. We analyze properties of the problem and derive necessary and sufficient optimality conditions. Next, we construct a new decomposition method for solving the problem that exploits the composite structure of the objective function. We illustrate its performance on a portfolio optimization problem.

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