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This paper develops a unified modeling framework to capture the equilibrium-state interactions among ride-hailing companies, travelers, and traffic of mixed-autonomy transportation networks. Our framework integrates four interrelated…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Jiaxin Hou , Kexin Wang , Ruolin Li , Jong-shi Pang

Our aim is to explain mathematical programs with equilibrium constraints (MPECs), motivate them through applications, present the main equivalent formulations of equilibrium constraints, and summarize the basic existence theory for optimal…

Optimization and Control · Mathematics 2026-05-04 Louis Shuo Wang

The performance of multimodal mobility systems relies on the seamless integration of conventional mass transit services and the advent of Mobility-on-Demand (MoD) services. Prior work is limited to individually improving various transport…

Computational Engineering, Finance, and Science · Computer Science 2021-05-24 Qi Luo , Samitha Samaranayake , Siddhartha Banerjee

Markovian network equilibrium generalizes the classical Wardrop equilibrium in network games. At a Markovian network equilibrium, each player of the game solves a Markov decision process instead of a shortest path problem. We propose two…

Optimization and Control · Mathematics 2021-10-19 Yue Yu , Dan Calderone , Sarah H. Q. Li , Lillian J. Ratliff , Behçet Açıkmeşe

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

Computer Science and Game Theory · Computer Science 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

Shared Mobility Services (SMSs) are transforming urban transportation systems by offering flexible travel options. These services, which help reduce the number of cars on the roads, have the potential to enhance the transportation system's…

Optimization and Control · Mathematics 2025-08-21 Khadidja Kadem , Mostafa Ameli , Mahdi Zargayouna , Latifa Oukhellou

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

Systems and Control · Computer Science 2016-02-03 Sadra Sadraddini , Calin Belta

The goal of this paper is to develop a modeling framework that captures the inter-decision dynamics between mobility service providers (MSPs) and travelers that can be used to optimize and analyze policies/regulations related to MSPs. To…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Florian Dandl , Roman Engelhardt , Michael Hyland , Gabriel Tilg , Klaus Bogenberger , Hani S. Mahmassani

Mobility-as-a-Service (MaaS) systems are two-sided markets, with two mutually exclusive sets of agents, i.e., travelers/users and operators, forming a mobility ecosystem in which multiple operators compete or cooperate to serve customers…

Computer Science and Game Theory · Computer Science 2024-09-04 Bingqing Liu , Joseph Y. J. Chow

We consider a network equilibrium model (i.e. a combined model), which was proposed as an alternative to the classic four-step approach for travel forecasting in transportation networks. This model can be formulated as a convex minimization…

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

In the era of connected and automated mobility, commuters will possess strong computation power, enabling them to strategically make sequential travel choices over a planning horizon. This paper investigates the multiday traffic patterns…

Optimization and Control · Mathematics 2024-08-15 Minghui Wu , Yafeng Yin , Jerome P. Lynch

In this paper we present a model predictive control (MPC) approach to optimize vehicle scheduling and routing in an autonomous mobility-on-demand (AMoD) system. In AMoD systems, robotic, self-driving vehicles transport customers within an…

Systems and Control · Computer Science 2017-08-15 Rick Zhang , Federico Rossi , Marco Pavone

While multimodal mobility systems have the potential to bring many benefits to travelers, drivers, the environment, and traffic congestion, such systems typically involve multiple non-cooperative decision-makers who may selfishly optimize…

Methodology · Statistics 2026-01-08 Md Nafees Fuad Rafi , Zhaomiao Guo

In this paper, we introduce a metric to evaluate the equity in mobility and a routing framework to enhance the metric within multi-modal intelligent transportation systems. The mobility equity metric (MEM) simultaneously accounts for…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Heeseung Bang , Aditya Dave , Filippos N. Tzortzoglou , Andreas A. Malikopoulos

Kinodynamic Motion Planning (KMP) is to find a robot motion subject to concurrent kinematics and dynamics constraints. To date, quite a few methods solve KMP problems and those that exist struggle to find near-optimal solutions and exhibit…

Robotics · Computer Science 2021-01-19 Linjun Li , Yinglong Miao , Ahmed H. Qureshi , Michael C. Yip

Multi-access Edge Computing (MEC) facilitates the deployment of critical applications with stringent QoS requirements, latency in particular. This paper considers the problem of jointly planning the availability of computational resources…

Networking and Internet Architecture · Computer Science 2021-09-09 Bin Xiang , Jocelyne Elias , Fabio Martignon , Elisabetta Di Nitto

The evolution of existing transportation systems,mainly driven by urbanization and increased availability of mobility options, such as private, profit-maximizing ride-hailing companies, calls for tools to reason about their design and…

This paper considers mathematical programs, whose constraints are expressed by a parameterized vector equilibrium problem. The latter is a well recognized framework, which is able to cover multicriteria optimization, vector variational…

Optimization and Control · Mathematics 2022-10-18 Amos Uderzo

In this paper, we study the pickup and delivery problem with multiple transportation modalities, and address the challenge of efficiently allocating transportation resources while price matching users with their desired delivery modes. More…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Mark Beliaev , Negar Mehr , Ramtin Pedarsani
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