This paper highlights a previously unnoticed property of commonly-used discrete choice models, which is that they feature parallel demand curves. Specifically, we show in additive random utility inverse aggregate curves shift with respect to variety if and only the shocks follow Gumbel (Type 1 Extreme Value) distribution. Using results from Value Theory, provide conditions for other distributio...

We study parallel machine scheduling for makespan minimization with uncertain job processing times. To incorporate uncertainty and generate solutions that are, in some way, insensitive to unfolding information, three different modeling paradigms are adopted: a robust model, chance-constrained distributionally model. focus on devising generic solution methods can efficiently handle these models....