On the Glivenko–Cantelli problem in stochastic programming: Mixed-integer linear resource

On the Glivenko–Cantelli problem in stochastic programming: Mixed-integer linear resource

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Article ID: iaor19992653
Country: Germany
Volume: 47
Issue: 1
Start Page Number: 39
End Page Number: 49
Publication Date: Jan 1998
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: , ,
Abstract:

Expected recourse functions in linear two-stage stochastic programs with mixed-integer second stage are approximated by estimating the underlying probability distribution via empirical measures. Under mild conditions, almost sure uniform convergence of the empirical means to the original expected recourse function is established.

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