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We study non-stationary single-item, periodic-review inventory control problems in which the demand distribution is unknown and may change over time. We analyze how demand non-stationarity affects learning performance across inventory…

最优化与控制 · 数学 2026-02-06 Nele H. Amiri , Sean R. Sinclair , Maximiliano Udenio

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

最优化与控制 · 数学 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

We consider Assemble-to-Order (ATO) inventory systems with a general Bill of Materials and general deterministic lead times. Unsatisfied demands are always backlogged. We apply a four-step asymptotic framework to develop inventory policies…

最优化与控制 · 数学 2021-08-16 Martin I. Reiman , Haohua Wan , Qiong Wang

Lost sales inventory models with large lead times, which arise in many practical settings, are notoriously difficult to optimize due to the curse of dimensionality. In this paper we show that when lead times are large, a very simple…

In this paper we study a periodic-review single-commodity setup-cost inventory model with backorders and holding/backlog costs satisfying quasiconvexity assumptions. We show that the Markov decision process for this inventory model…

最优化与控制 · 数学 2017-11-09 Eugene A. Feinberg , Yan Liang

We consider the canonical periodic review lost sales inventory system with positive lead-times and stochastic i.i.d. demand under the average cost criterion. We introduce a new policy that places orders such that the expected inventory…

概率论 · 数学 2024-01-17 Willem van Jaarsveld , Joachim Arts

We study the canonical periodic review lost sales inventory system with positive leadtime and independent and identically distributed (i.i.d.) demand under the average cost criterion. We demonstrate that the relative value function under…

概率论 · 数学 2025-08-05 Poulad Moradi , Joachim Arts , Melvin Drent

We develop a stochastic inventory system which accounts for the limited patience of backlogged customers. While limited patience is a feature that is closer to the nature of unmet demand, our model also unifies the classic backlogging and…

最优化与控制 · 数学 2024-04-02 Andrew E. B. Lim , Zhao-Xuan Wei , Hanqin Zhang

Dual-sourcing inventory systems, in which one supplier is faster (i.e. express) and more costly, while the other is slower (i.e. regular) and cheaper, arise naturally in many real-world supply chains. These systems are notoriously difficult…

概率论 · 数学 2016-04-21 Linwei Xin , David A. Goldberg

Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in…

最优化与控制 · 数学 2015-09-23 Michael N. Katehakis , Benjamin Melamed , Jim Shi

We tackle online inventory problems where at each time period the manager makes a replenishment decision based on partial historical information in order to meet demands and minimize costs. To solve such problems, we build upon recent works…

最优化与控制 · 数学 2024-12-02 Massil Hihat , Adeline Fermanian

We consider a continuous-review inventory system in which the setup cost of each order is a general function of the order quantity and the demand process is modeled as a Brownian motion with a positive drift. Assuming the holding and…

最优化与控制 · 数学 2020-09-03 Shuangchi He , Dacheng Yao , Hanqin Zhang

We consider a network inventory system motivated by one-way, on-demand vehicle sharing services. Under uncertain and correlated network demand, the service operator periodically repositions vehicles to match a fixed supply with spatial…

机器学习 · 统计学 2025-10-20 Hansheng Jiang , Chunlin Sun , Zuo-Jun Max Shen

This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

最优化与控制 · 数学 2021-08-13 Zhen Chen , Roberto Rossi

Solutions to address the periodic review inventory control problem with nonstationary random demand, lost sales, and stochastic vendor lead times typically involve making strong assumptions on the dynamics for either approximation or…

机器学习 · 统计学 2023-10-26 Dean Foster , Randy Jia , Dhruv Madeka

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

最优化与控制 · 数学 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

This paper continues the examination of inventory control in which the inventory is modelled by a diffusion process and a long-term average cost criterion is used to make decisions. The class of such models under consideration have general…

最优化与控制 · 数学 2018-09-10 Kurt L. Helmes , Richard H. Stockbridge , Chao Zhu

There has been growing interest in applying reinforcement learning (RL) to inventory management, either by optimizing over temporal transitions or by learning directly from full historical demand trajectories. This contrasts sharply with…

机器学习 · 统计学 2026-02-03 Yaqi Xie , Will Ma , Linwei Xin

Since its inception in the mid-60s, the inventory staggering problem has been explored and exploited in a wide range of application domains, such as production planning, stock control systems, warehousing, and aerospace/defense logistics.…

数据结构与算法 · 计算机科学 2025-06-13 Noga Alon , Danny Segev

This study presents a comprehensive approach to optimizing inventory management under stochastic demand by leveraging Monte Carlo Simulation (MCS) with grid search and Bayesian optimization. By using a business case of historical demand…

最优化与控制 · 数学 2024-07-01 Sarit Maitra
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