The risk-averse (and prudent) newsboy
Management Science
Convex Optimization
Online make-to-order joint replenishment model: primal dual competitive algorithms
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Revenue Management with Limited Demand Information
Management Science
Provably Near-Optimal Sampling-Based Policies for Stochastic Inventory Control Models
Mathematics of Operations Research
Risk Aversion in Inventory Management
Operations Research
A Nonparametric Asymptotic Analysis of Inventory Planning with Censored Demand
Mathematics of Operations Research
Mathematics of Operations Research
Worst-Case Analysis for a General Class of Online Lot-Sizing Heuristics
Operations Research
Fully Distribution-Free Profit Maximization: The Inventory Management Case
Mathematics of Operations Research
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We study inventory management problems where demands are revealed incrementally and procurement decisions must be made before the demands are realized. There are no probabilistic distributions nor non-trivial bounds to characterize demands. We consider two cost minimization problems: (1) perishable products with lost sales and (2) durable products with backlogged demand. In both problems, costs are period dependent. These problems are analyzed by utilizing linear-fractional programming and duality theory. Structural results are proved and then developed into practical strategies.