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How to cite this paper
APA: Zheng, S., Wang, J & Lu, X. (2025). Mixed traffic optimization considering road reservation travel based on the bi-level programming mode. International Journal of Industrial Engineering Computations, 16(3), 521-534.
Chicago/Turabian: Zheng, S., Wang, J & Lu, X. 2025. "Mixed traffic optimization considering road reservation travel based on the bi-level programming mode." International Journal of Industrial Engineering Computations 16, no. 3 (2025): 521-534.
AMA: Zheng, S., Wang, J & Lu, X. Mixed traffic optimization considering road reservation travel based on the bi-level programming mode. International Journal of Industrial Engineering Computations. 2025;16(3):521-534.
References
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Ben-Ayed, O. (1993). Bilevel linear programming. Computers & Operations Research, 20(5), 485-501.
Chen, Y., Song, X., Cheng, Q., An, Q., & Zhang, Y. (2021). A cordon-based reservation system for urban traffic management. Physica A: Statistical Mechanics and its Applications, 582, 126276.
Cheng, Q., Chen, Y., & Liu, Z. (2022). A bi-level programming model for the optimal lane reservation problem. Expert Systems with Applications, 189, 116147.
Dobre, C. (2012). Intelligent lane reservation system for highways. International Journal of Vehicular Technology, 2012(1), 604965.
Evans, S. P. (1973). A relationship between the gravity model for trip distribution and the transportation problem in linear programming. Transportation Research, 7(1), 39-61.
Fisk, C. (1980). Some developments in equilibrium traffic assignment. Transportation Research Part B: Methodological, 14(3), 243-255.
Kinderlehrer, D., & Stampacchia, G. (1980). An introduction to variational inequalities and their applications. SIAM.
Li, N., Yang, H., & Ke, J. (2023). Booking cum rationing strategy for equitable travel demand management in road networks. Transportation Research Part B: Methodological, 167, 261-274.
Liu, K., Chan, E., Lee, V., Kapitanova, K., & Son, S. H. (2013). Design and evaluation of token-based reservation for a roadway system. Transportation Research Part C: Emerging Technologies, 26, 184-202.
Menelaou, C., Kolios, P., Timotheou, S., Panayiotou, C. G., & Polycarpou, M. P. (2017). Controlling road congestion via a low-complexity route reservation approach. Transportation Research Part C: Emerging Technologies, 81, 118-136.
Menelaou, C., Timotheou, S., Kolios, P., & Panayiotou, C. G. (2017). Improved road usage through congestion-free route reservations. Transportation Research Record: Journal of the Transportation Research Board, 2621, 71-80.
Menelaou, C., Timotheou, S., Kolios, P., Panayiotou, C. G., & Polycarpou, M. M. (2018). Minimizing traffic congestion through continuous-time route reservations with travel time predictions. IEEE Transactions on Intelligent Vehicles, 4(1), 141-153.
Mirjalili, S., & Lewis, A. (2016). The whale optimization algorithm. Advances in Engineering Software, 95, 51-67.
Teodorović, D., Edara, P., & Via, C. E. (2005). Highway space inventory control system. In Transportation and Traffic Theory: Flow, Dynamics and Human Interaction: Proceedings of the 16th International Symposium on Transportation and Traffic Theory, University of Maryland, College Park.
Vasirani, M., & Ossowski, S. (2012). A market-inspired approach for intersection management in urban road traffic networks. Journal of Artificial Intelligence Research, 43, 621-659.
Wong, C.-T. (1997). Basic concepts for a system for advance booking for highway use. Transport Policy, 4(2), 109-114.
Wu, P., Chu, F., Che, A., & Zhao, Y. (2018). Dual-objective optimization for lane reservation with residual capacity and budget constraints. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(6), 2187-2197.
Yang, H., Zhang, X., & Meng, Q. (2007). Stackelberg games and multiple equilibrium behaviors on networks. Transportation Research Part B: Methodological, 41(8), 841-861.
Ye, J., Cao, R., He, B., Kuai, X., & Guo, R. (2024). Disaggregated spatiotemporal traffic assignment for road reservation service and supply-demand statistical analysis. Physica A: Statistical Mechanics and its Applications, 645, 129854.
Zhang, K., & Nie, Y. M. (2018). Mitigating the impact of selfish routing: An optimal-ratio control scheme (ORCS) inspired by autonomous driving. Transportation Research Part C: Emerging Technologies, 87, 75-90.
Zhao, Y., Triantis, K., Teodorović, D., & Edara, P. (2010). A travel demand management strategy: The downtown space reservation system. European Journal of Operational Research, 205(3), 584-594.
Ben-Ayed, O. (1993). Bilevel linear programming. Computers & Operations Research, 20(5), 485-501.
Chen, Y., Song, X., Cheng, Q., An, Q., & Zhang, Y. (2021). A cordon-based reservation system for urban traffic management. Physica A: Statistical Mechanics and its Applications, 582, 126276.
Cheng, Q., Chen, Y., & Liu, Z. (2022). A bi-level programming model for the optimal lane reservation problem. Expert Systems with Applications, 189, 116147.
Dobre, C. (2012). Intelligent lane reservation system for highways. International Journal of Vehicular Technology, 2012(1), 604965.
Evans, S. P. (1973). A relationship between the gravity model for trip distribution and the transportation problem in linear programming. Transportation Research, 7(1), 39-61.
Fisk, C. (1980). Some developments in equilibrium traffic assignment. Transportation Research Part B: Methodological, 14(3), 243-255.
Kinderlehrer, D., & Stampacchia, G. (1980). An introduction to variational inequalities and their applications. SIAM.
Li, N., Yang, H., & Ke, J. (2023). Booking cum rationing strategy for equitable travel demand management in road networks. Transportation Research Part B: Methodological, 167, 261-274.
Liu, K., Chan, E., Lee, V., Kapitanova, K., & Son, S. H. (2013). Design and evaluation of token-based reservation for a roadway system. Transportation Research Part C: Emerging Technologies, 26, 184-202.
Menelaou, C., Kolios, P., Timotheou, S., Panayiotou, C. G., & Polycarpou, M. P. (2017). Controlling road congestion via a low-complexity route reservation approach. Transportation Research Part C: Emerging Technologies, 81, 118-136.
Menelaou, C., Timotheou, S., Kolios, P., & Panayiotou, C. G. (2017). Improved road usage through congestion-free route reservations. Transportation Research Record: Journal of the Transportation Research Board, 2621, 71-80.
Menelaou, C., Timotheou, S., Kolios, P., Panayiotou, C. G., & Polycarpou, M. M. (2018). Minimizing traffic congestion through continuous-time route reservations with travel time predictions. IEEE Transactions on Intelligent Vehicles, 4(1), 141-153.
Mirjalili, S., & Lewis, A. (2016). The whale optimization algorithm. Advances in Engineering Software, 95, 51-67.
Teodorović, D., Edara, P., & Via, C. E. (2005). Highway space inventory control system. In Transportation and Traffic Theory: Flow, Dynamics and Human Interaction: Proceedings of the 16th International Symposium on Transportation and Traffic Theory, University of Maryland, College Park.
Vasirani, M., & Ossowski, S. (2012). A market-inspired approach for intersection management in urban road traffic networks. Journal of Artificial Intelligence Research, 43, 621-659.
Wong, C.-T. (1997). Basic concepts for a system for advance booking for highway use. Transport Policy, 4(2), 109-114.
Wu, P., Chu, F., Che, A., & Zhao, Y. (2018). Dual-objective optimization for lane reservation with residual capacity and budget constraints. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(6), 2187-2197.
Yang, H., Zhang, X., & Meng, Q. (2007). Stackelberg games and multiple equilibrium behaviors on networks. Transportation Research Part B: Methodological, 41(8), 841-861.
Ye, J., Cao, R., He, B., Kuai, X., & Guo, R. (2024). Disaggregated spatiotemporal traffic assignment for road reservation service and supply-demand statistical analysis. Physica A: Statistical Mechanics and its Applications, 645, 129854.
Zhang, K., & Nie, Y. M. (2018). Mitigating the impact of selfish routing: An optimal-ratio control scheme (ORCS) inspired by autonomous driving. Transportation Research Part C: Emerging Technologies, 87, 75-90.
Zhao, Y., Triantis, K., Teodorović, D., & Edara, P. (2010). A travel demand management strategy: The downtown space reservation system. European Journal of Operational Research, 205(3), 584-594.