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In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

Computational Geometry · Computer Science 2018-03-21 Sharath Raghvendra

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…

Data Structures and Algorithms · Computer Science 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

We consider the problem faced by a service platform that needs to match limited supply with demand but also to learn the attributes of new users in order to match them better in the future. We introduce a benchmark model with heterogeneous…

Machine Learning · Computer Science 2020-08-07 Ramesh Johari , Vijay Kamble , Yash Kanoria

Due to limited transit network coverage and infrequent service, suburban commuters often face the transit first mile/last mile (FMLM) problem. To deal with this, they either drive to a park-and-ride location to take transit, use carpooling,…

Data Structures and Algorithms · Computer Science 2022-08-25 Pramesh Kumar , Alireza Khani

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…

Optimization and Control · Mathematics 2022-07-14 Zishuo Zhao , Xi Chen , Xuefeng Zhang , Yuan Zhou

This paper presents a new research direction for the Min-cost Perfect Matching with Delays (MPMD) - a problem introduced by Emek et al. (STOC'16). In the original version of this problem, we are given an $n$-point metric space, where…

Data Structures and Algorithms · Computer Science 2025-01-07 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

We consider multi-component matching systems in heavy traffic consisting of $K\geq 2$ distinct perishable components which arrive randomly over time at high speed at the assemble-to-order station, and they wait in their respective queues…

Probability · Mathematics 2024-05-21 Bowen Xie

Problem definition: Transportation terminals such as airports often experience persistent oversupply of idle ride-sourcing drivers, resulting in long driver waiting times and inducing externalities such as curbside congestion. While…

Optimization and Control · Mathematics 2025-09-30 Tianming Liu , Yafeng Yin , Vijay Subramanian

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…

Optimization and Control · Mathematics 2024-01-10 Xiaoming Li , Chun Wang , Xiao Huang

Ride-hailing platforms typically classify drivers as either employees or independent contractors. These classifications tend to emphasize either wage certainty or flexibility, but rarely both. We study an alternative or complementary…

Optimization and Control · Mathematics 2024-08-27 Andrés Fielbaum , David Salas , Ruilin Zhang , Francisco Castro

Mobility-on-Demand (MoD) systems have become a fixture in urban transportation networks, with the rapid growth of ride-hailing services such as Uber and Lyft. Ride-hailing is typically complemented with ridepooling options, which can reduce…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yang Liu , Qi Luo , Raga Gopalakrishnan , Samitha Samaranayake

We study a natural combinatorial pricing problem for sequentially arriving buyers with equal budgets. Each buyer is interested in exactly one pair of items and purchases this pair if and only if, upon arrival, both items are still available…

Computer Science and Game Theory · Computer Science 2023-02-24 Christoph Dürr , Mathieu Mari , Ulrike Schmidt-Kraepelin

Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

By utilising vehicle capacity more efficiently, ride-pooling platforms can potentially lead to reduced congestion levels without adversely prolonging travel times. While previous studies concluded that shared rides can offer substantial…

Physics and Society · Physics 2021-07-15 Arjan de Ruijter , Oded Cats , Javier Alonso-Mora , Serge Hoogendoorn

The difference between the speed of the actions of different processes is typically considered as an obstacle that makes the achievement of cooperative goals more difficult. In this work, we aim to highlight potential benefits of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-15 Ofer Feinerman , Amos Korman , Shay Kutten , Yoav Rodeh

We analyse a non-cooperative strategic game among two ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a certain patience level) are assumed to arrive according to a Poisson process at a…

Optimization and Control · Mathematics 2022-08-04 Tushar Shankar Walunj , Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

We analyse a non-cooperative game between two competing ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a limited level of patience) are assumed to arrive according to a Poisson process…

Optimization and Control · Mathematics 2025-10-07 Tushar Shankar Walunj , Shiksha Singhal , Jayakrishnan Nair , Veeraruna Kavitha

Spurred by the growth of transportation network companies and increasing data capabilities, vehicle routing and ride-matching algorithms can improve the efficiency of private transportation services. However, existing routing solutions do…

Systems and Control · Computer Science 2018-10-25 Ian Schneider , Jun Jie Joseph Kuan , Mardavij Roozbehani , Munther Dahleh

Although many well-known algorithms can solve each bipartite matching problem instance efficiently, it remains an open question how one could estimate the expected optimal matching distance for arbitrary numbers of randomly distributed…

Optimization and Control · Mathematics 2025-09-24 Shiyu Shen , Yuhui Zhai , Yanfeng Ouyang