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Inventory models with lost sales and large lead times have traditionally been considered intractable due to the curse of dimensionality. Recently, Goldberg and co-authors laid the foundations for a new approach to solving these models, by…

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

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 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

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

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 continuous time stochastic inventory model for a commodity traded in the spot market and whose supply purchase is affected by price and demand uncertainty. A firm aims at meeting a random demand of the commodity at…

最优化与控制 · 数学 2015-06-12 Maria B. Chiarolla , Giorgio Ferrari , Gabriele Stabile

In this paper, we develop mixed integer linear programming models to compute near-optimal policy parameters for the non-stationary stochastic lot sizing problem under Bookbinder and Tan's static-dynamic uncertainty strategy. Our models…

最优化与控制 · 数学 2014-09-18 Roberto Rossi , Onur A. Kilic , S. Armagan Tarim

We study the classical single-item inventory system in which unsatisfied demands are backlogged. Replenishment lead times are random, independent identically distributed, causing orders to cross in time. We develop a new inventory policy to…

概率论 · 数学 2021-02-02 Alexander Stolyar , Qiong Wang

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

交易与市场微观结构 · 定量金融 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang

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

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

We formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

概率论 · 数学 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos

In the present paper, we study the optimal execution problem under stochastic price recovery based on limit order book dynamics. We model price recovery after execution of a large order by accelerating the arrival of the refilling order,…

交易与市场微观结构 · 定量金融 2015-02-17 Masashi Ieda

When sales of a product are affected by randomness in demand, retailers can use dynamic pricing strategies to maximise their profits. In this article the pricing problem is formulated as a stochastic optimal control problem, where the…

最优化与控制 · 数学 2017-10-17 Asbjørn N. Riseth , Jeff N. Dewynne , Chris L. Farmer

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

机器学习 · 统计学 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

In this paper, we study the offline sequential feature-based pricing and inventory control problem where the current demand depends on the past demand levels and any demand exceeding the available inventory is lost. Our goal is to leverage…

机器学习 · 统计学 2026-03-12 Korel Gundem , Zhengling Qi

We consider a general class of high-volume, fast-moving production-inventory systems based on both lost-sales and backorder inventory models. Such systems require a fundamental understanding of the asymptotic behavior of key performance…

最优化与控制 · 数学 2015-01-29 Yingdong Lu , Mark S. Squillante , David D. Yao

We consider the Item Pricing problem for revenue maximization in the limited supply setting, where a single seller with $n$ items caters to $m$ buyers with unknown subadditive valuation functions who arrive in a sequence. The seller sets…

计算机科学与博弈论 · 计算机科学 2009-05-21 Tanmoy Chakraborty , Zhiyi Huang , Sanjeev Khanna

We consider a periodic-review, fixed-lifetime perishable inventory control problem where demand is a general stochastic process. The optimal solution for this problem is intractable due to "curse of dimensionality". In this paper, we first…

最优化与控制 · 数学 2016-05-10 Can Zhang , Turgay Ayer , Chelsea C. White

We study inventory control policies for pharmaceutical supply chains, addressing challenges such as perishability, yield uncertainty, and non-stationary demand, combined with batching constraints, lead times, and lost sales. Collaborating…

人工智能 · 计算机科学 2025-01-22 Francesco Stranieri , Chaaben Kouki , Willem van Jaarsveld , Fabio Stella
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