Reproduce “Towards Optimal Inventory Control under Censored Demand: A Biased Sample-Average Approximation Approach” on OpenResearch

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About this paper

Yuxuan Han, Xiaoyu Fan, Jiawei Zhang, Zhengyuan Zhou

The authors develop algorithms for learning multi-period inventory policies when sales are censored by stock limits. They use directional bias in estimated demand distributions: DP-UCB favors lower stock targets for offline data, while DP-LCB raises online targets to reveal demand before reducing the bias. Under bounded costs and independent bounded demand, online regret scales as (h∞+b∞)MT√K, up to logarithmic and burn-in terms; coverage remains necessary.

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