arXiv Machine Learning By Nele H. Amiri, Sean R. Sinclair, Maximiliano Udenio

Non-Stationary Inventory Control with Lead Times

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arXiv:2602. 05799v2 Announce Type: replace-cross Abstract: We study non-stationary single-item, periodic-review inventory control problems in which the demand distribution is unknown and may change over time.

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arXiv Statistics ML
3d ago

Towards Optimal Inventory Control under Censored Demand: A Biased Sample-Average Approximation Approach

The paper presents a data‑driven framework for multi‑period lost‑sales inventory control when demand is censored, meaning stockouts only reveal that demand exceeded the stocking level. It introduces a new cost decomposition for base‑stock policies and a biased sample‑average approximation (SAA) method, leading to two algorithms: an upper‑biased SAA that achieves near‑optimal sample complexity under an offline coverage condition, and a lower‑biased SAA that actively generates coverage to achieve near‑optimal online regret. The biased SAA approach offers a general principle for applying pessimism and optimism in settings with censored feedback.

By Yuxuan Han, Xiaoyu Fan, Jiawei Zhang, Zhengyuan Zhou