Convergence and Bound Computation for Chance Constrained Distributionally Robust Models using Sample Approximation

Jiaqi Lei; Sanjay Mehrotra

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arXiv · 2408.12018

Convergence and Bound Computation for Chance Constrained Distributionally Robust Models using Sample Approximation

Jiaqi Lei·Sanjay Mehrotra

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Abstract

This paper considers a distributionally robust chance constraint model with a general ambiguity set. We show that a sample based approximation of this model converges under suitable sufficient conditions. We also show that upper and lower bounds on the optimal value of the model can be estimated statistically. Specific ambiguity sets are discussed as examples.

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Jiaqi Lei, Sanjay Mehrotra. 2024-08-21. Convergence and Bound Computation for Chance Constrained Distributionally Robust Models using Sample Approximation. https://arxiv.org/abs/2408.12018

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