2012-04-09Buch DOI: 10.18452/8424
SDDP for multistage stochastic linear programs based on spectral risk measures
We consider risk-averse formulations of multistage stochastic linear programs. Forthese formulations, based on convex combinations of spectral risk measures, risk-averse dynamicprogramming equations can be written. As a result, the Stochastic Dual Dynamic Programming(SDDP) algorithm can be used to obtain approximations of the corresponding risk-averse recoursefunctions. This allows us to deﬁne a risk-averse nonanticipative feasible policy for the stochasticlinear program. Formulas for the cuts that approximate the recourse functions are given.
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