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| Mathematical Programming Model and Algorithm for Time-Varying Transit Network |
| XU Yong1, LI Jie2, AN Liping3, WANG Ping4, CHU Chao-Hsien5
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1. School of Science, Hebei University of Technology, Tianjin 300401, China;
2. School of Software and Microelectronics at Wuxi, Peking University, Wuxi 214125, China;
3. School of Business, Nankai University, Tianjin 300072, China;
4. School of Software and Microelectronics, Peking University, Beijing 100260, China;
5. School of Information Systems, Singapore Management University, Singapore 178902 |
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Abstract The shortest path query problem in large scale time-varying transit network is NP-hard. Approximate search algorithm is not satisfactory, and the exact search algorithm is inefficient. In this paper, a time-varying mathematical model for transit network is formulated according to the time-varying and uncertainty characteristic of public transport network. The choice of the optimal path for transit network is decomposed into transfer times and transfer line query problem. A query algorithm for transfer times is proposed based on the line mapping network and an algorithm for both transfer site and travel distance is proposed based on site mapping network. Both of them are polynomial. Finally we use a numerical example to illustrate the solution process of the proposed method.
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Received: 15 December 2013
Published: 22 June 2026
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