Minimax Analysis for Finite-horizon Inventory Models

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Production, Manufacturing and LogisticsConfidence-based optimisation for the newsvendor problem under binomial, Poisson and exponential demand (2014, unknown): “Bayesian approaches under fully observed demand were proposed in Scarf [1959, 1960], Iglehart [1964], Azoury [1985], Lovejoy [1990], Bradford and Sugrue [1990], Hill [1997], Eppen and Iyer [1997], Hill [1999], Lee [2008], Bensoussan et al.”
Regret in the Newsvendor Model with Demand and Yield Randomness (2021, background): “…order quantity when only the mean and variance of the random demand are speciﬁed, and a substantial amount of efforts has extended applications of the maximin criterion to more complex inventory models (see e.g., Gallego 1998, Gallego et al. 2001, Hanasusanto et al. 2015, Natarajan et al. 2018).”
A Robust Optimization Approach to Inventory Theory (2006, methodology): “Similar ideas were applied to finitehorizon inventory models by Gallego et al. (2001) , under the assumption that demand is a discrete random variable taking values in a known countable set.”