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State-Aware Graph Dynamics for Urban Transport Systems with Topology-Based Rate Modulation

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  • Yiwei Shi

    (Mathematics Teaching and Research Center, Tianfu College of Southwestern University of Finance and Economics, No. 399 Longgang Road, Longtan Subdistrict, Chenghua District, Chengdu 610052, China)

  • Chunyu Li

    (Mathematics Teaching and Research Center, Tianfu College of Southwestern University of Finance and Economics, No. 399 Longgang Road, Longtan Subdistrict, Chenghua District, Chengdu 610052, China)

  • Wei Wang

    (Mathematics Teaching and Research Center, Tianfu College of Southwestern University of Finance and Economics, No. 399 Longgang Road, Longtan Subdistrict, Chenghua District, Chengdu 610052, China)

  • Yaowen Hu

    (College of Computer Science and Technology, National University of Defense Technology, Changsha 410073, China)

Abstract

We introduce a novel optimization method, the Bud Lifecycle Algorithm (BLA), and present a mathematical model for optimizing urban transportation systems, demonstrated through a Baltimore case study. Our approach centers on the Proximity Topology Attribute Model, which integrates topological graph properties with K-means clustering to partition city nodes and identify key activity areas via betweenness centrality. A simulated bridge collapse reveals significant impacts on insurance companies and transport users. To balance traffic efficiency with construction costs in public transport projects, we propose a multi-objective optimization model prioritizing transit hubs while minimizing expenses in congested zones. We introduce the Bud Lifecycle Algorithm (BLA) to enhance traditional Genetic Algorithm performance, achieving improvements in system coverage, cost-efficiency, and user satisfaction. Our findings suggest that expanding public transport networks and optimizing rail projects could substantially boost employment and tourism in West Baltimore. We propose the Smart Traffic Management System (STMS) and Community Traffic Safety Program (CTSP) to enhance traffic safety, reduce congestion, and improve residents’ quality of life.

Suggested Citation

  • Yiwei Shi & Chunyu Li & Wei Wang & Yaowen Hu, 2025. "State-Aware Graph Dynamics for Urban Transport Systems with Topology-Based Rate Modulation," Mathematics, MDPI, vol. 13(16), pages 1-23, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:16:p:2574-:d:1722704
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    References listed on IDEAS

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    1. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
    2. Archetti, Claudia & Peirano, Lorenzo & Speranza, M. Grazia, 2022. "Optimization in multimodal freight transportation problems: A Survey," European Journal of Operational Research, Elsevier, vol. 299(1), pages 1-20.
    3. Frederick A. Armah & David O. Yawson & Alex A. N. M. Pappoe, 2010. "A Systems Dynamics Approach to Explore Traffic Congestion and Air Pollution Link in the City of Accra, Ghana," Sustainability, MDPI, vol. 2(1), pages 1-14, January.
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