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Matching demand (riders) to supply (drivers) efficiently is a fundamental problem for ride-sharing platforms who need to match the riders (almost) as soon as the request arrives with only partial knowledge about future ride requests. A…

最优化与控制 · 数学 2025-08-07 Omar El Housni , Vineet Goyal , Oussama Hanguir , Clifford Stein

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

数据结构与算法 · 计算机科学 2022-12-01 Yiding Feng , Rad Niazadeh

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

Important pricing problems in centralized matching markets -- such as carpooling, food delivery and freight shipping platforms -- often exhibit a bi-level structure. At the upper level, the platform sets prices for heterogeneous demand…

最优化与控制 · 数学 2026-02-12 Junlin Chen , Chiwei Yan , Hai Jiang

The classic online stochastic matching problem typically requires immediate and irrevocable matching decisions. However, in many modern decentralized systems such as real-time ride-hailing and distributed cloud computing, the primary…

数据结构与算法 · 计算机科学 2026-05-15 Sara Ahmadian , Edith Cohen , Mohammad Roghani

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

最优化与控制 · 数学 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

Modern online platforms such as marketplaces, ride-hailing services, and food-delivery systems serve a dual role: they are both markets where participants interact and transact, and operators that design and govern how these markets…

计算机科学与博弈论 · 计算机科学 2026-05-11 Gary Qiurui Ma

We study a dispatching and pricing problem in two-sided spatial queues with fixed supply, motivated by ride-hailing and robotaxi platforms. Idle drivers queue on one side, waiting to pick up riders, while riders queue on the other, waiting…

最优化与控制 · 数学 2026-03-17 Ang Xu , Chiwei Yan

A major challenge for ridesharing platforms is to guarantee profit and fairness simultaneously, especially in the presence of misaligned incentives of drivers and riders. We focus on the dispatching-pricing problem to maximize the total…

最优化与控制 · 数学 2022-07-14 Zishuo Zhao , Xi Chen , Xuefeng Zhang , Yuan Zhou

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

数据结构与算法 · 计算机科学 2022-05-12 Vineet Goyal , Rajan Udwani

Electric vehicles (EVs) play a pivotal role in sustainable ride-hailing services primarily due to their potential in reducing carbon emissions and enhancing environmental protection. Despite their significance, current research in the realm…

最优化与控制 · 数学 2024-01-10 Xiaoming Li , Chun Wang , Xiao Huang

Matching platforms, from ridesharing to food delivery to competitive gaming, face a fundamental operational dilemma: match agents immediately to minimize waiting costs, or delay to exploit the efficiency gains of thicker markets. Yet…

最优化与控制 · 数学 2026-01-30 Jie Liu , Hailun Zhang , Jiheng Zhang

We consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

最优化与控制 · 数学 2024-11-19 Zixian Yang , Lei Ying

This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

系统与控制 · 电气工程与系统科学 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

最优化与控制 · 数学 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

Online bipartite matching has been extensively studied. In the unweighted setting, Karp et al. gave an optimal $(1 - 1/e)$-competitive randomized algorithm. In the weighted setting, optimal algorithms have been achieved only under…

数据结构与算法 · 计算机科学 2021-11-03 Nguyen Kim Thang

Our work introduces the effect of supply/demand imbalances into the literature on online matching with stochastic rewards in bipartite graphs. We provide a parameterized definition that characterizes instances as over- or undersupplied (or…

数据结构与算法 · 计算机科学 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

We study generalizations of online bipartite matching in which each arriving vertex (customer) views a ranked list of offline vertices (products) and matches to (purchases) the first one they deem acceptable. The number of products that the…

数据结构与算法 · 计算机科学 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

Although shared rides have the potential to increase vehicle utilization and reduce congestion and emissions, these benefits depend heavily on ridesharing platforms' ability to match riders effectively. As such, shared rides have seen…

最优化与控制 · 数学 2026-04-21 Yifan Shen , Junlin Chen , Julia Yan , Chiwei Yan

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

数据结构与算法 · 计算机科学 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja
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