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This paper discusses the revenue management (RM) problem to maximize revenue by pricing items or services. One challenge in this problem is that the demand distribution is unknown and varies over time in real applications such as airline…

机器学习 · 计算机科学 2024-05-09 Kazuma Shimizu , Junya Honda , Shinji Ito , Shinji Nakadai

In this paper, we consider an online resource allocation problem where a decision maker accepts or rejects incoming customer requests irrevocably in order to maximize expected reward given limited resources. At each time, a new…

数据结构与算法 · 计算机科学 2022-05-03 Guanting Chen , Xiaocheng Li , Yinyu Ye

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

We study the canonical quantity-based network revenue management (NRM) problem where the decision-maker must irrevocably accept or reject each arriving customer request with the goal of maximizing the total revenue given limited resources.…

最优化与控制 · 数学 2022-07-08 Rui Sun , Xinshang Wang , Zijie Zhou

We study the classical Network Revenue Management (NRM) problem with accept/reject decisions and $T$ IID arrivals. We consider a distributional form where each arrival must fall under a finite number of possible categories, each with a…

机器学习 · 计算机科学 2025-01-03 Jiashuo Jiang , Will Ma , Jiawei Zhang

We consider an online resource allocation problem where multiple resources, each with an individual initial capacity, are available to serve random requests arriving sequentially over multiple discrete time periods. At each time period, one…

最优化与控制 · 数学 2020-12-21 Jiashuo Jiang , Jiawei Zhang

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

Online linear programming (OLP) has gained significant attention from both researchers and practitioners due to its extensive applications, such as online auction, network revenue management, order fulfillment and advertising. Existing OLP…

数据结构与算法 · 计算机科学 2025-11-18 Guokai Li , Zizhuo Wang , Jingwei Zhang

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

机器学习 · 计算机科学 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

This paper introduces a dual-based algorithm framework for solving the regularized online resource allocation problems, which have potentially non-concave cumulative rewards, hard resource constraints, and a non-separable regularizer. Under…

机器学习 · 计算机科学 2023-07-18 Wanteng Ma , Ying Cao , Danny H. K. Tsang , Dong Xia

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

机器学习 · 计算机科学 2026-03-18 Yiming Zong , Jiashuo Jiang

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

机器学习 · 计算机科学 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

Online allocation problems with resource constraints are central problems in revenue management and online advertising. In these problems, requests arrive sequentially during a finite horizon and, for each request, a decision maker needs to…

数据结构与算法 · 计算机科学 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

Motivated by applications in service systems, we consider queueing systems where each customer must be handled by a server with the right skill set. We focus on optimizing the routing of customers to servers in order to maximize the total…

机器学习 · 计算机科学 2024-12-16 Sanne van Kempen , Jaron Sanders , Fiona Sloothaak , Maarten G. Wolf

We study nonstationary Online Linear Programming (OLP), where $n$ orders arrive sequentially with reward-resource consumption pairs that form a sequence of independent, but not necessarily identically distributed, random vectors. At the…

数据结构与算法 · 计算机科学 2026-03-17 Haoran Xu , Owen Shen , Peter Glynn , Yinyu Ye , Patrick Jaillet

Online learning and model reference adaptive control have many interesting intersections. One area where they differ however is in how the algorithms are analyzed and what objective or metric is used to discriminate "good" algorithms from…

系统与控制 · 电气工程与系统科学 2025-01-24 Travis E. Gibson , Sawal Acharya

We consider adaptive control of the Linear Quadratic Regulator (LQR), where an unknown linear system is controlled subject to quadratic costs. Leveraging recent developments in the estimation of linear systems and in robust controller…

机器学习 · 计算机科学 2018-05-25 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

机器学习 · 统计学 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

We consider online allocation problems with concave revenue functions and resource constraints, which are central problems in revenue management and online advertising. In these settings, requests arrive sequentially during a finite horizon…

最优化与控制 · 数学 2021-11-08 Haihao Lu , Santiago Balseiro , Vahab Mirrokni

Price-based revenue management is an important problem in operations management with many practical applications. The problem considers a retailer who sells a product (or multiple products) over $T$ consecutive time periods and is subject…

最优化与控制 · 数学 2021-01-01 Yining Wang , He Wang
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