Application of Mathematical Methods to Transportation: Modeling and Analysis

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 28 February 2025 | Viewed by 643

Special Issue Editors


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Guest Editor
School of Transportation, Southeast University, 2 Sipailou, Nanjing 210096, China
Interests: multimodal transportation system simulation; traffic behavior and safety analysis; emergency traffic management; active transport optimization; transportation resilience
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
School of Transportation, Southeast University, 2 Sipailou, Nanjing 210096, China
Interests: traffic behavior and safety analysis; data mining and analyses; traffic congestion tracking; trajectory processing; active transport optimization; transportation resilience

Special Issue Information

Dear Colleagues,

During the last decade, there has been a remarkable surge in the utilization of mathematical methods to tackle multifaceted issues in transportation systems, ranging from traffic congestion to efficient resource allocation. At present, with the advent of big data, smart cities, and an increased focus on sustainability, the need for advanced mathematical models and rigorous analytical techniques in this domain is more pressing than ever.

This Special Issue aims to consolidate and showcase the latest advancements and innovative applications of mathematical methods in transportation modeling and analysis. It seeks to provide a comprehensive view of how these methods are revolutionizing our understanding and management of modern transportation systems.

The topics of interest for publication include, but are not limited to:

  1. Development and application of novel mathematical models for traffic flow prediction and control, including those employing machine learning algorithms.
  2. Use of optimization techniques for solving complex problems such as vehicle routing, public transportation scheduling, and multimodal transportation system simulation.
  3. Stochastic modeling for analyzing uncertainty and risk in transportation systems, including passenger demand fluctuations, travel time variability, and network resilience.
  4. Game theoretical frameworks for studying strategic interactions among stakeholders in transportation markets and networks.
  5. Network analysis and graph theory applications for understanding and optimizing the structure and dynamics of transportation networks.
  6. Data-driven modeling and statistical analyses for extracting valuable insights from large-scale transportation datasets, including traffic flow patterns, user behavior, and environmental impacts.
  7. Simulation-based approaches to assess and compare alternative transportation policies, scenarios, or technologies.
  8. Integration of mathematical models with decision support systems to enhance transportation planning and policy formulation at local, regional, and national levels.

Prof. Dr. Gang Ren
Dr. Qi Cao
Guest Editors

Manuscript Submission Information

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Keywords

  • transportation modeling and analysis
  • traffic flow prediction and control
  • vehicle routing
  • public transportation scheduling
  • multimodal transportation system simulation
  • passenger demand fluctuations
  • travel time variability
  • network resilience

Published Papers (1 paper)

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Research

17 pages, 2519 KiB  
Article
Cooperative Vehicle Infrastructure System or Autonomous Driving System? From the Perspective of Evolutionary Game Theory
by Wei Bai, Xuguang Wen, Jiayan Zhang and Linheng Li
Mathematics 2024, 12(9), 1404; https://doi.org/10.3390/math12091404 - 3 May 2024
Viewed by 420
Abstract
In this paper, we explore the trade-offs between public and private investment in autonomous driving technologies. Utilizing an evolutionary game model, we delve into the complex interaction mechanisms between governments and auto manufacturers, focusing on how strategic decisions impact overall outcomes. Specifically, we [...] Read more.
In this paper, we explore the trade-offs between public and private investment in autonomous driving technologies. Utilizing an evolutionary game model, we delve into the complex interaction mechanisms between governments and auto manufacturers, focusing on how strategic decisions impact overall outcomes. Specifically, we predict that governments may opt for strategies such as constructing and maintaining infrastructure for Roadside Infrastructure-based Vehicles (RIVs) or subsidizing high-level Autonomous Driving Vehicles (ADVs) without additional road infrastructure. Manufacturers’ choices involve deciding whether to invest in RIVs or ADVs, depending on governmental policies and market conditions. Our simulation results, based on scenarios derived from existing economic data and forecasts on technology development costs, suggest that government subsidy policies need to dynamically adjust in response to manufacturers’ shifting strategies and market behavior. This dynamic adjustment is crucial as it addresses the evolving economic environment and technological advancements, ensuring that subsidies effectively incentivize the desired outcomes in autonomous vehicle development. The findings of this paper could serve as valuable decision-making tools for governments and auto manufacturers, guiding investment strategies that align with the dynamic landscape of autonomous driving technology. Full article
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