Should we use just one value for each realization? Or different quartiles? What if one of the quartiles is eliminated in the reduced model?
You may use the two stage stochastic modeling technique. Some decisions are made before realizations of the uncertain events and some of them are after them.
https://www.researchgate.net/publication/258835771_Decision_making_under_uncertainty_in_energy_systems_State_of_the_art?ev=prf_pub
Article Decision making under uncertainty in energy systems: State of the art
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