Format:
1 Online-Ressource (34 Seiten)
Series Statement:
Stochastic Programming E-Print Series 2005,2005,1
Content:
We consider the objective function of a simple recourse problem with fixed technology matrix and integer second-stage variables. Separability due to the simple recourse structure allows to study a one-dimensional version instead.Based on an explicit formula for the objective function, we derive a complete description of the class of probability density functions such that the objective function is convex. This result is also stated in terms of random variables.Next, we present a class of convex approximations of the function, which are obtained by perturbing the distributions of the right-hand side parameters. We derive a uniform bound on the absolute error of the approximation. Finally, we give a representation of convex simple integer recourse problems as continuous simple recourse problems, so that they can be solved by existing special purpose algorithms.
Language:
English
URN:
urn:nbn:de:kobv:11-10046346
URL:
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