Xin Chen

TL;DR: This work shows that when the demand model is additive, the profit-to-go functions arek-concave and hence an ( s, S, p) policy is optimal and introduces a new concept, the symmetrick-con cave functions, and applies it to provide a characterization of the optimal policy.

TL;DR: An approach for constructing uncertainty sets for robust optimization using new deviation measures for random variables termed the forward and backward deviations is introduced, which converts the original model into a second-order cone program, which is computationally tractable both in theory and in practice.

TL;DR: This paper proposes a framework for incorporating risk aversion in multiperiod inventory models as well as multiperiod models that coordinate inventory and pricing strategies and demonstrates that the optimal policy is relatively insensitive to small changes in the decision-maker's level of risk aversion.

TL;DR: An infinite horizon, single-product, periodic review model in which pricing and production/inventory decisions are made simultaneously is analyzed, showing that a stationary ( s,S,p) policy is optimal for both the discounted and average profit models with general demand functions.

TL;DR: This paper proposes tractable methods of addressing a general class of multistage stochastic optimization problems, which assume only limited information of the distributions of the underlying uncertainties, such as known mean, support, and covariance, and proposes several new decision rules that improve upon linear decision rules, while keeping the approximate models computationally tractable.