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This paper studies a continuous-review backlogged inventory model considered by Helmes et al. (2015) but with discontinuous quantity-dependent setup cost for each order. In particular, the setup cost is characterized by a two-step function…

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

We study periodic review stochastic inventory control in the data-driven setting where the retailer makes ordering decisions based only on historical demand observations without any knowledge of the probability distribution of the demand.…

统计理论 · 数学 2021-11-05 Xun Zhang , Zhisheng Ye , William B. Haskell

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

最优化与控制 · 数学 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

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 consider an infinite horizon, continuous-review, stochastic inventory system in which cumulative customers' demand is price-dependent and is modeled as a Brownian motion. Excess demand is backlogged. The revenue is earned…

最优化与控制 · 数学 2018-07-12 Dacheng Yao

We consider an inventory system in which inventory level fluctuates as a Brownian motion in the absence of control. The inventory continuously accumulates cost at a rate that is a general convex function of the inventory level, which can be…

最优化与控制 · 数学 2014-01-21 Jim Dai , Dacheng Yao

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

In classic adversarial online resource allocation problems such as AdWords, customers arrive online while products are given offline with a fixed initial inventory. To ensure revenue guarantees under uncertainty, the decision maker must…

数据结构与算法 · 计算机科学 2025-11-21 Yiding Feng , Rad Niazadeh , Amin Saberi

We consider a stochastic inventory control problem under censored demands, lost sales, and positive lead times. This is a fundamental problem in inventory management, with significant literature establishing near-optimality of a simple…

机器学习 · 计算机科学 2019-05-14 Shipra Agrawal , Randy Jia

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

The continuous-review (s,S) inventory model is a cornerstone of stochastic inventory theory, yet its analysis becomes analytically intractable when dealing with non-Markovian systems. In such systems, evaluating long-run performance…

机器学习 · 计算机科学 2026-01-21 Eliran Sherzer , Yonit Barron

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 an inventory system whose state is modeled by a L\'{e}vy process. There are two types of costs--the running costs and the inventory control costs. The running costs (also known as the holding/penalty costs) are incurred…

最优化与控制 · 数学 2016-09-02 Jinbiao Wu , Haolin Feng , Dacheng Yao

A high-tech manufacturer often produces products that consist of many modules. These modules are either sourced from one of its suppliers or produced in-house. In this paper we study an assembly system in which one module is sourced from a…

最优化与控制 · 数学 2021-05-20 Mirjam S Meijer , Willem van Jaarsveld , Ton de Kok

We consider the classical discrete time lost-sales model under stationary continuous demand and linear holding and penalty costs and positive constant lead time. To date the optimal policy structure is only known implicitly by solving…

最优化与控制 · 数学 2024-10-21 Ton de Kok , Mirjam S. Meijer

Inventory management problems with periodic and controllable resets occur in the context of managing water storage in the developing world and retailing limited-time availability products. In this paper, we consider a set of sequential…

最优化与控制 · 数学 2022-09-09 Yoon Lee , Yonatan Mintz , Anil Aswani , Zuo-Jun Max Shen , Cong Yang

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

最优化与控制 · 数学 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

We consider a distribution warehouse where both the inbound inventory replenishment and outbound dispatch decisions are subject to fixed (as well as per-unit) transportation charges and demand is stochastic. In order to realize scale…

最优化与控制 · 数学 2020-12-07 Bo Wei , Sila Cetinkaya , Daren B. H. Cline

We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed…

最优化与控制 · 数学 2015-10-20 Apostolos N. Burnetas , Odysseas Kanavetas

In this paper we address the problem of learning and backtesting inventory control policies in the presence of general arrival dynamics -- which we term as a quantity-over-time arrivals model (QOT). We also allow for order quantities to be…

机器学习 · 计算机科学 2024-01-23 Sohrab Andaz , Carson Eisenach , Dhruv Madeka , Kari Torkkola , Randy Jia , Dean Foster , Sham Kakade