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This study introduces an optimal mechanism in a dynamic stochastic knapsack environment. The model features a single seller who has a fixed quantity of a perfectly divisible item. Impatient buyers with a piece-wise linear utility function…

计算机科学与博弈论 · 计算机科学 2024-02-23 Jihyeok Jung , Chan-Oi Song , Deok-Joo Lee , Kiho Yoon

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

Production logistics has an important role as a chain that connects the components of the production system. The most important goal of production logistics plans is to keep the flow of the production system well. However, compared to the…

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

人工智能 · 计算机科学 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for example in applications with bounded domains such that the…

最优化与控制 · 数学 2021-02-23 Jennifer Weißen , Simone Göttlich , Claudia Totzeck

The main focus of this paper is radius-based (supplier) clustering in the two-stage stochastic setting with recourse, where the inherent stochasticity of the model comes in the form of a budget constraint. In addition to the standard…

数据结构与算法 · 计算机科学 2024-04-09 Brian Brubach , Nathaniel Grammel , David G. Harris , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

We address a dynamic pricing problem for airlines aiming to maximize expected revenue from selling cargo space on a single-leg flight. The cargo shipments' weight and volume are uncertain and their precise values remain unavailable at the…

最优化与控制 · 数学 2024-04-09 Chengyu Du , Fang He , Xi Lin

Growing demand for sustainable logistics and higher space utilization, driven by e-commerce and urbanization, increases the need for storage systems that are both energy- and space-efficient. Compact storage systems aim to maximize space…

计算复杂性 · 计算机科学 2025-10-16 Malte Fliedner , Julian Golak , Yağmur Gül , Simone Neumann

We study a wholesale supply chain ordering problem. In this problem, the supplier has an initial stock, and faces an unpredictable stream of incoming orders, making real-time decisions on whether to accept or reject each order. What makes…

数据结构与算法 · 计算机科学 2025-04-08 Will Ma , David Simchi-Levi , Jinglong Zhao

Lately, the problem of designing multi-stage dynamic mechanisms has been shown to be both theoretically challenging and practically important. In this paper, we consider the problem of designing revenue optimal dynamic mechanism for a…

计算机科学与博弈论 · 计算机科学 2016-07-07 Vahab Mirrokni , Renato Paes Leme , Pingzhong Tang , Song Zuo

Assortment optimization is a fundamental challenge in modern retail and recommendation systems, where the goal is to select a subset of products that maximizes expected revenue under complex customer choice behaviors. While recent advances…

机器学习 · 统计学 2026-03-11 Miao Lu , Yuxuan Han , Han Zhong , Zhengyuan Zhou , Jose Blanchet

With the growth of data-driven services and expansion of mobile application usage, traditional methods of capacity and resource planning methods may not be efficient and often fall short in meeting rapid changes in the business landscape.…

最优化与控制 · 数学 2025-11-12 Xiaoyue Liu , Yujia Xu , Benoit Montreuil

Retailers have significant potential to improve recommendations through strategic bundling and pricing. By taking into account different types of customers and their purchasing decisions, retailers can better accommodate customer…

最优化与控制 · 数学 2024-09-06 Maxime Bouscary , Mazen Danaf , Saurabh Amin

We study huge-scale assortment optimization problems to maximize expected revenue under customer choice, addressing a fundamental challenge in industries such as transportation, retail, and healthcare. The choice-based linear programming…

最优化与控制 · 数学 2026-02-27 Donghao Zhu , Hanzhang Qin , Ching-pei Lee , Yuki Saito , Takahiro Kawashima , Kenji Fukumizu

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

最优化与控制 · 数学 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

最优化与控制 · 数学 2023-03-29 Guanghui Lan , Alexander Shapiro

We study a robust selling problem where a seller attempts to sell one item to a buyer but is uncertain about the buyer's valuation distribution. Existing literature shows that robust screening provides a stronger theoretical guarantee than…

理论经济学 · 经济学 2024-09-27 Shixin Wang

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

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

数据结构与算法 · 计算机科学 2023-10-25 Andre Linhares , Chaitanya Swamy