Analytical model of road bottleneck queueing system

References

• Alabdallaoui, S., A. Berraissoul, and N. Idboufker (2015). “Performance Evaluation of RED Approach for Traffic Lights Management.” 2015 15th International Conference on Intelligent Systems Design and Applications (ISDA), Marrakech, Morocco doi: 10.1109/isda.2015.7489254
   Google Scholar
• Arnott, R. 2013. “A Bathtub Model of Downtown Traffic Congestion.” Journal of Urban Economics 76: 110–121. doi:10.1016/j.jue.2013.01.001.
   Web of Science ®Google Scholar
• Babaei, M., M. Rajabi-Bahaabadi, and A. Shariat-Mohaymany. 2016. “Estimation of Travel Time Reliability in Large-scale Networks.” Transportation Letters 8 (4): 229–240. doi:10.1080/19427867.2015.1122141.
   Web of Science ®Google Scholar
• Bang, K., J. Wahlstedt, and L. Linse. 2016. “Methodology for Timing and Impact Analysis of Signalized Intersections.” Transportation Research Procedia 15: 75–86. doi:10.1016/j.trpro.2016.06.007.
   Google Scholar
• Berthelin, F., P. Degond, M. Delitala, and M. Rascle. 2007. “A Model for the Formation and Evolution of Traffic Jams.” Archive for Rational Mechanics and Analysis 187 (2): 185–220. doi:10.1007/s00205-007-0061-9.
   Web of Science ®Google Scholar
• Chowdhury, D., and A. Schadschneider. 1999. “Self-organization of Traffic Jams in Cities: Effects of Stochastic Dynamics and Signal Periods.” Physical Review E 59 (2): 2. doi:10.1103/physreve.59.r1311.
   Web of Science ®Google Scholar
• Chung, K., J. Rudjanakanoknad, and M. J. Cassidy. 2007. “Relation between Traffic Density and Capacity Drop at Three Freeway Bottlenecks.” Transportation Research Part B: Methodological 41 (1): 82–95. doi:10.1016/j.trb.2006.02.011.
   Web of Science ®Google Scholar
• Deng, W., X. Junjie, S. Yingjie, and Z. Huimin. 2020a. “An Effective Improved Co-Evolution Ant Colony Optimisation Algorithm with Multi-Strategies and Its Application.” International Journal of Bio-Inspired Computation 16 (3): 158. doi:10.1504/IJBIC.2020.111267.
   Web of Science ®Google Scholar
• Deng, W., S. Shang, X. Cai, H. Zhao, Y. Zhou, H. Chen, W. Deng, et al. 2021. “Quantum Differential Evolution with Cooperative Coevolution Framework and Hybrid Mutation Strategy for Large Scale Optimization.” Knowledge-Based Systens 2021 224:107080. 10.1016/j.knosys.2021.107080
   Web of Science ®Google Scholar
• Deng, W., J. Xu, X.-Z. Gao, and H. Zhao. 2020b. “An Enhanced MSIQDE Algorithm with Novel Multiple Strategies for Global Optimization Problems.” IEEE Transactions on Systems, Man, and Cybernetics: Systems 1–10. doi:10.1109/TSMC.2020.3030792.
   Web of Science ®Google Scholar
• Deng, W., J. Xu, H. Zhao, and Y. Song. 2020c. “A Novel Gate Resource Allocation Method Using Improved PSO-Based QEA.” IEEE Transactions on Intelligent Transportation Systems 1–9. doi:10.1109/TITS.2020.3025796.
   Web of Science ®Google Scholar
• El-Tantawy, S., and B. Abdulhai. 2010. “Towards Multi-agent Reinforcement Learning for Integrated Network of Optimal Traffic Controllers (MARLIN-OTC).” Transportation Letters 2 (2): 89–110. doi:10.3328/tl.2010.02.02.89-110.
   Web of Science ®Google Scholar
• Frette, V., and P. C. Hemmer. 2009. “Velocity and Cluster Distributions in a Bottleneck System.” Physical Review E 80 (5): 5. doi:10.1103/physreve.80.051115.
   Web of Science ®Google Scholar
• Galvan-Correa, R., M. Olguin-Carbajal, J. C. Herrera-Lozada, J. Sandoval-Gutierrez, J. F. Serrano-Talamantes, R. Cadena-Martinez, and C. Aquino-Ruíz. 2020. “Micro Artificial Immune System for Traffic Light Control.” Applied Sciences 10 (21): 7933. doi:10.3390/app10217933.
   Google Scholar
• Helbing, D. 2001. “Traffic and Related Self-driven Many-particle Systems.” Reviews of Modern Physics 73 (4): 1067–1141. doi:10.1103/revmodphys.73.1067.
   Web of Science ®Google Scholar
• Kerner, B. S. 1998. “Experimental Features of Self-Organization in Traffic Flow.” Physical Review Letters 81 (17): 3797–3800. doi:10.1103/physrevlett.81.3797.
   Web of Science ®Google Scholar
• Kerner, B. S. 2008. “A Theory of Traffic Congestion at Heavy Bottlenecks.” Journal of Physics A: Mathematical and Theoretical 41 (21): 215101. doi:10.1088/1751-8113/41/21/215101.
   Web of Science ®Google Scholar
• Knorr, F., and M. Schreckenberg. 2013. “The Comfortable Driving Model Revisited: Traffic Phases and Phase Transitions.” Journal of Statistical Mechanics: Theory and Experiment (2013: 07. doi:10.1088/1742-5468/2013/07/p07002.
   Google Scholar
• Li, D., B. Fu, Y. Wang, G. Lu, Y. Berezin, H. E. Stanley, and S. Havlin. 2014. “Percolation Transition in Dynamical Traffic Network with Evolving Critical Bottlenecks.” Proceedings of the National Academy of Sciences 112 (3): 669–672. doi:10.1073/pnas.1419185112.
   PubMed Web of Science ®Google Scholar
• Ma, M., S. Liang, and V. Yu. 2018. “An Optimization Approach for Freeway Network Coordinated Traffic Control and Route Guidance.” Plos One 13 (9): 9. doi:10.1371/journal.pone.0204255.
   Web of Science ®Google Scholar
• May, A. D., and H. M. Keller. 1967. “A Deterministic Queuing Model.” Transportation Research 1 (2): 117–128. doi:10.1016/0041-1647(67)90167-0.
   Google Scholar
• Nagatani, T. 2002. “The Physics of Traffic Jams.” Reports on Progress in Physics 65 (9): 1331–1386. doi:10.1088/0034-4885/65/9/203.
   Web of Science ®Google Scholar
• Newell, G. F. 1960. “Queues for a Fixed-Cycle Traffic Light.” The Annals of Mathematical Statistics 31 (3): 589–597. doi:10.1214/aoms/1177705787.
   Google Scholar
• Newell, G. F. 1965. “Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light.” SIAM Review 7 (2): 223–240. doi:10.1137/1007038.
   Web of Science ®Google Scholar
• Piacentini, G., P. Goatin, and A. Ferrara. 2018. “Traffic Control via Moving Bottleneck of Coordinated Vehicles.” IFAC-PapersOnLine 51 (9): 13–18. doi:10.1016/j.ifacol.2018.07.003.
   Google Scholar
• Ran, B., W. Huang, and S. Leight (1996). “Solving the Bottleneck Problem at Automated Highway Exits.” Vehicle Navigation and Information Systems Conference, Orlando, FL, USA, 1996. doi: 10.1109/vnis.1996.1623735
   Google Scholar
• Sreekumar, M., S. M. Joshi, A. Chatterjee, and T. V. Mathew. 2018. “Analyses and Implications of Higher Order Finite Volume Methods on First-order Macroscopic Traffic Flow Models.” Transportation Letters 11 (10): 542–557. doi:10.1080/19427867.2017.1419843.
   Web of Science ®Google Scholar
• Sullivan, J., L. Aultman-Hall, and D. Novak. 2009. “A Review of Current Practice in Network Disruption Analysis and an Assessment of the Ability to Account for Isolating Links in Transportation Networks.” Transportation Letters 1 (4): 271–280. doi:10.3328/tl.2009.01.04.271-280.
   Web of Science ®Google Scholar
• Webster, F. V. 1958. Traffic Signal Settings. London: H.M.S.O.
   Google Scholar
• Wu, Y., Z. Yijie, F. Yanming, X. Yutian, H. Shaojie, Z. Junsheng, R. Tianhe, et al. 2020. “Urban Traffic Signal Control Based on Multiobjective Joint Optimization.” Scientific Programming (2020 (October): e8839720. doi:10.1155/2020/8839720.
   Google Scholar
• Yuan, S., Z. Xiangmo, and A. Yisheng. 2014. “Identification and Optimization of Traffic Bottleneck with Signal Timing.” Journal of Traffic and Transportation Engineering (English Edition) 1 1 (5): 353–361. doi:10.1016/S2095-7564(15)30281-6.
   Google Scholar
• Zargari, S. A., N. Dehghani, and H. Mirzahossein. 2016. “Optimal Traffic Lights Control Using Meta Heuristic Algorithms in High Priority Congested Networks.” Transportation Letters 10 (3): 172–184. doi:10.1080/19427867.2016.1241921.
   Web of Science ®Google Scholar
• Zheng, Z., S. Ahn, D. Chen, and J. Laval. 2011. “Applications of Wavelet Transform for Analysis of Freeway Traffic: Bottlenecks, Transient Traffic, and Traffic Oscillations.” Transportation Research Part B: Methodological 45 (2): 372–384. doi:10.1016/j.trb.2010.08.002.
   Web of Science ®Google Scholar