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This paper studies a diffusion model that arises as the limit of a queueing system scheduling problem in the asymptotic heavy traffic regime of Halfin and Whitt. The queueing system consists of several customer classes and many servers…

Probability · Mathematics 2007-05-23 Rami Atar

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…

Optimization and Control · Mathematics 2026-03-17 Ang Xu , Chiwei Yan

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

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

This paper provides a unified framework for the problem of controlling a fleet of ride-hailing vehicles under stochastic demand. We introduce a sequential decision-making model that consolidates several problem characteristics and can be…

Optimization and Control · Mathematics 2025-12-29 Stefan Pilot , Murwan Siddig

This paper considers the dispatching of large-scale real-time ride-sharing systems to address congestion issues faced by many cities. The goal is to serve all customers (service guarantees) with a small number of vehicles while minimizing…

Optimization and Control · Mathematics 2020-03-25 Connor Riley , Pascal Van Hentenryck , Enpeng Yuan

The dynamic pricing problem of a freeway corridor with high-occupancy toll (HOT) lanes was formulated and solved based on a point queue abstraction of the traffic system [Yin and Lou, 2009]. However, existing pricing strategies cannot…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Xuting Wang , Wen-Long Jin , Yafeng Yin

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

Congestion pricing has become an effective instrument for traffic demand management on road networks. This paper proposes an optimal control approach for congestion pricing for day-to-day timescale that incorporates demand uncertainty and…

Systems and Control · Computer Science 2019-07-23 Hemant Gehlot , Harsha Honnappa , Satish V. Ukkusuri

A multiclass queueing system is considered, with heterogeneous service stations, each consisting of many servers with identical capabilities. An optimal control problem is formulated, where the control corresponds to scheduling and routing,…

Probability · Mathematics 2007-05-23 Rami Atar

Dynamic pricing schemes are increasingly employed across industries to maintain a self-organized balance of demand and supply. However, throughout complex dynamical systems, unintended collective states exist that may compromise their…

Physics and Society · Physics 2021-06-01 Malte Schröder , David-Maximilian Storch , Philip Marszal , Marc Timme

Significant development of ride-sharing services presents a plethora of opportunities to transform urban mobility by providing personalized and convenient transportation while ensuring efficiency of large-scale ride pooling. However, a core…

Multiagent Systems · Computer Science 2021-06-15 Marina Haliem , Ganapathy Mani , Vaneet Aggarwal , Bharat Bhargava

In ride-hailing systems, en-route time refers to the time that elapses from the moment a car is dispatched to pick up a rider until the rider is picked up. A fundamental phenomenon in ride-hailing systems is that there is a trade-off…

Optimization and Control · Mathematics 2021-11-24 Anton J. Kleywegt , Hongzhang Shao

In this paper, we study a variant of the dynamic ridesharing problem with a specific focus on peak hours: Given a set of drivers and rider requests, we aim to match drivers to each rider request by achieving two objectives: maximizing the…

Databases · Computer Science 2020-04-07 Hui Luo , Zhifeng Bao , Farhana M. Choudhury , J. Shane Culpepper

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

The rise of e-hailing taxis has significantly altered urban transportation and resulted in a competitive taxi market with both traditional street-hailing and e-hailing taxis. The new mobility services provide similar door-to-door rides as…

Applications · Statistics 2018-12-06 Wenbo Zhang , Harsha Honnappa , Satish V. Ukkusuri

In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

Optimization and Control · Mathematics 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

Optimization and Control · Mathematics 2018-04-25 Tonghoon Suk , Xinchang Wang

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

Optimization and Control · Mathematics 2026-02-03 Tianze Qu , Sushil Mahavir Varma

With the rapid development of smart mobile devices, the car-hailing platforms (e.g., Uber or Lyft) have attracted much attention from both the academia and the industry. In this paper, we consider an important dynamic car-hailing problem,…

Machine Learning · Computer Science 2021-08-12 Peng Cheng , Jiabao Jin , Lei Chen , Xuemin Lin , Libin Zheng
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