Advanced Methods in Intelligent Transportation Systems, 2nd Edition

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

Deadline for manuscript submissions: 20 September 2025 | Viewed by 740

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Cosys-Grettia, University Gustave Eiffel, F-77454 Marne-la-Vallée, France
Interests: mathematical modeling; optimization; optimal control; reinforcement learning; max-plus algebra
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Special Issue Information

Dear Colleagues,

For many years, transportation systems have been in a continuous state of mutation thanks to the rapid development of information and communication technologies, sensors, digitization, data analysis approaches and tools, and data-driven models, as well as to the growth of vehicle automation with the new arrival of automated and autonomous vehicles. This new context requires updating the existing mathematical models for intelligent transportation systems (ITSs) and developing new ones, integrating all of the new features of the context, as well as the main perspectives for the future. We are interested, in this Special Issue, in advanced mathematical methods invoking mathematical models (traffic models, dynamic models for vehicles and passengers, traffic assignment models, etc.), as well as optimization approaches (optimal control, discrete optimization, reinforcement learning, data-driven optimization, etc.) for ITSs. One of the main objectives of the development of ITSs is to progress towards intelligent and sustainable mobility.

This Special Issue aims to collate original and high-quality research articles dealing with mathematics and summarizing the main directions in advanced mathematical methods for ITSs.

Dr. Nadir Farhi
Guest Editor

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Keywords

  • mathematical models for ITSs
  • traffic optimization and control
  • multiobjective optimization for ITSs
  • mathematical models for road traffic
  • mathematical models for public transport
  • reinforcement learning models and applications for ITSs
  • optimal control for ITSs
  • artificial Intelligence for ITSs
  • machine learning for ITSs
  • algebraic models for ITSs
  • dynamic systems and models for ITSs
  • cellular automaton models for ITSs
  • multi-agent models for ITSs
  • mean-field models for ITSs
  • new approaches and models for ITSs
  • stochastic modeling for ITSs
  • data-based models for ITSs
  • traffic control systems
  • autonomous vehicles
  • mathematical models and methods for micromobility

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Research

12 pages, 596 KB  
Article
Quantum Computing for Intelligent Transportation Systems: VQE-Based Traffic Routing and EV Charging Scheduling
by Uman Khalid, Usama Inam Paracha, Syed Muhammad Abuzar Rizvi and Hyundong Shin
Mathematics 2025, 13(17), 2761; https://doi.org/10.3390/math13172761 - 27 Aug 2025
Viewed by 378
Abstract
Complex optimization problems, such as traffic routing and electric vehicle (EV) charging scheduling, are becoming increasingly challenging for intelligent transportation systems (ITSs), in particular as computational resources are limited and network conditions evolve frequently. This paper explores a quantum computing approach to address [...] Read more.
Complex optimization problems, such as traffic routing and electric vehicle (EV) charging scheduling, are becoming increasingly challenging for intelligent transportation systems (ITSs), in particular as computational resources are limited and network conditions evolve frequently. This paper explores a quantum computing approach to address these issues by proposing a hybrid quantum-classical (HQC) workflow that leverages the variational quantum eigensolver (VQE), an algorithm particularly well suited for execution on noisy intermediate-scale quantum (NISQ) hardware. To this end, the EV charging scheduling and traffic routing problems are both reformulated as binary optimization problems and then encoded into Ising Hamiltonians. Within each VQE iteration, a parametrized quantum circuit (PQC) is prepared and measured on the quantum processor to evaluate the Hamiltonian’s expectation value, while a classical optimizer—such as COBYLA, SPSA, Adam, or RMSProp—updates the circuit parameters until convergence. In order to find optimal or nearly optimal solutions, VQE uses PQCs in combination with classical optimization algorithms to iteratively minimize the problem Hamiltonian. Simulation results exhibit that the VQE-based method increases the efficiency of EV charging coordination and improves route selection performance. These results demonstrate how quantum computing will potentially advance optimization algorithms for next-generation ITSs, representing a practical step toward quantum-assisted mobility solutions. Full article
(This article belongs to the Special Issue Advanced Methods in Intelligent Transportation Systems, 2nd Edition)
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