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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…

Data Structures and Algorithms · Computer Science 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

We consider the problem of designing sublinear time algorithms for estimating the cost of a minimum metric traveling salesman (TSP) tour. Specifically, given access to a $n \times n$ distance matrix $D$ that specifies pairwise distances…

Data Structures and Algorithms · Computer Science 2020-06-11 Yu Chen , Sampath Kannan , Sanjeev Khanna

Autonomous ride-hailing platforms must strategically position idle robotaxis to minimize the wait times of prospective riders. We formalize this as the \emph{robotaxi placement problem} ($k$-RP). Given a finite metric space and a demand…

Data Structures and Algorithms · Computer Science 2026-05-18 Ioannis Caragiannis , Kostas Kollias , Mohammad Roghani , Aaron Schild , Ali Kemal Sinop

We consider the problem of \emph{optimal matching with queues} in dynamic systems and investigate the value-of-information. In such systems, the operators match tasks and resources stored in queues, with the objective of maximizing the…

Optimization and Control · Mathematics 2015-03-30 Longbo Huang

We study matching markets with ties, where workers on one side of the market may have tied preferences over jobs, determined by their matching utilities. Unlike classical two-sided markets with strict preferences, no single stable matching…

Computer Science and Game Theory · Computer Science 2025-10-23 Shiyun Lin , Simon Mauras , Nadav Merlis , Vianney Perchet

Optimizing shared vehicle systems (bike/scooter/car/ride-sharing) is more challenging compared to traditional resource allocation settings due to the presence of \emph{complex network externalities} -- changes in the demand/supply at any…

Computer Science and Game Theory · Computer Science 2021-05-12 Siddhartha Banerjee , Daniel Freund , Thodoris Lykouris

We propose a centralized transportation system that integrates public transit with ridesharing to provide multimodal transportation. At each time interval, the system receives a set of personal drivers, designated drivers, and public…

Data Structures and Algorithms · Computer Science 2025-05-06 Qian-Ping Gu , Jiajian Leo Liang

Search and matching increasingly takes place on online platforms. These platforms have elements of centralized and decentralized matching; platforms can alter the search process for its users, but are unable to eliminate search frictions…

Theoretical Economics · Economics 2025-06-11 Cole Wittbrodt

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

Computer Science and Game Theory · Computer Science 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

In this paper, we address the existence and computation of competitive equilibrium in the transportation market for autonomous carpooling first proposed by [Ostrovsky and Schwarz, 2019]. At equilibrium, the market organizes carpooled trips…

Computer Science and Game Theory · Computer Science 2021-02-19 Saurabh Amin , Patrick Jaillet , Manxi Wu

One of the most relevant challenges regarding on-demand ridepooling relates to the spatial imbalances of the demand, which induce a mismatch between the position of the vehicles and the origins of the emerging requests. Most ridepooling…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Andres Fielbaum , Maximilian Kronmuller , Javier Alonso-Mora

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

Motivated by ride-sharing platforms' efforts to reduce their riders' wait times for a vehicle, this paper introduces a novel problem of placing vehicles to fulfill real-time pickup requests in a spatially and temporally changing…

Artificial Intelligence · Computer Science 2017-12-05 Abhinav Jauhri , Carlee Joe-Wong , John Paul Shen

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

Transportation Network Companies employ dynamic pricing methods at periods of peak travel to incentivise driver participation and balance supply and demand for rides. Surge pricing multipliers are commonly used and are applied following…

Computational Complexity · Computer Science 2020-05-01 Renos Karamanis , Eleftherios Anastasiadis , Panagiotis Angeloudis , Marc Stettler

We study the distortion of one-sided and two-sided matching problems on the line. In the one-sided case, $n$ agents need to be matched to $n$ items, and each agent's cost in a matching is their distance from the item they were matched to.…

Computer Science and Game Theory · Computer Science 2025-02-04 Aris Filos-Ratsikas , Vasilis Gkatzelis , Mohamad Latifian , Emma Rewinski , Alexandros A. Voudouris

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…

Data Structures and Algorithms · Computer Science 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja

Finding an available on-street parking spot is a relevant problem of day-to-day life. In recent years, cities such as Melbourne and San Francisco deployed sensors that provide real-time information about the occupation of parking spots.…

Artificial Intelligence · Computer Science 2024-04-17 Niklas Strauß , Lukas Rottkamp , Sebatian Schmoll , Matthias Schubert

Contrary to traditional transit services, supply in ridesourcing systems emerges from individual labour decisions of gig workers. The effect of decentralisation in supply on the evolution of on-demand transit services is largely unknown. To…

Physics and Society · Physics 2022-01-27 Arjan de Ruijter , Oded Cats , Rafal Kucharski , Hans van Lint