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There are many ways to approach your problem and there is a lot of literature on similar problems. You could look at the following article: Gorissen, Bram L., et al. “A Practical Guide to Robust Optimization.” Omega, vol. 53, June 2015, pp. 124–37. ScienceDirect, https://doi.org/10.1016/j.omega.2014.12.006. A simple approach would be to add 'safety slack' ...