References
- April, Jay, Fred Glover, James P. Kelly, and Manuel Laguna. 2003. “Simulation-Based Optimization: Practical Introduction to Simulation Optimization.” Paper presented at the Conference on Winter Simulation: driving innovation.
- Barrena, Eva, David Canca, Leandro C. Coelho, and Gilbert Laporte. 2014. “Exact Formulations and Algorithm for the Train Timetabling Problem with Dynamic Demand.” Computers & Operations Research 44: 66–74. doi:10.1016/j.cor.2013.11.003.
- Bemporad, Alberto, and Manfred Morari. 1999. “Control of Systems Integrating Logic, Dynamics, and Constraints.” Automatica 35 (3): 407–427.
- Canca, David, Eva Barrena, Encarnación Algaba, and Alejandro Zarzo. 2014. “Design and Analysis of Demand-Adapted Railway Timetables.” Journal of Advanced Transportation 48 (2): 119–137. doi:10.1002/atr.1261.
- Cury, J. E., F. A. C. Gomide, and M. J. Mendes. 1979. “A Methodology for Generation of Optimal Schedules for an Underground Railway System.” IEEE Transactions on Automatic Control 25 (2): 217–222.
- Daganzo, Carlos, and C. F. Daganzo. 1997. Fundamentals of Transportation and Traffic Operations. Oxford: Pergamon.
- Dorfman, M. J., and J. Medanic. 2004. “Scheduling Trains on a Railway Network Using a Discrete Event Model of Railway Traffic.” Transportation Research Part B: Methodological 38 (1): 81–98. doi:10.1016/s0191-2615(03)00006-7.
- Goverde, Rob M. P., Nikola Bešinović, Anne Binder, Valentina Cacchiani, Egidio Quaglietta, Roberto Roberti, and Paolo Toth. 2016. “A Three-Level Framework for Performance-Based Railway Timetabling.” Transportation Research Part C: Emerging Technologies 67: 62–83. doi:10.1016/j.trc.2016.02.004.
- Hassannayebi, Erfan, Arman Sajedinejad, and Soheil Mardani. 2014. “Urban Rail Transit Planning Using a Two-Stage Simulation-Based Optimization Approach.” Simulation Modelling Practice and Theory 49: 151–166. doi:10.1016/j.simpat.2014.09.004.
- Klemmt, Andreas, Sven Horn, Gerald Weigert, and Klaus-Jürgen Wolter. 2009. “Simulation-Based Optimization vs Mathematical Programming: A Hybrid Approach for Optimizing Scheduling Problems.” Robotics and Computer-Integrated Manufacturing 25 (6): 917–925.
- Klemt, Wolf Dieter, and Wolfgang Stemme. 1988. “Schedule Synchronization for Public Transit Networks.”
- Kroon, Leo G., and Leon W. P. Peeters. 2003. “A Variable Trip Time Model for Cyclic Railway Timetabling.” Transportation Science 37 (2): 198–212.
- Li, Shukai, Maged M. Dessouky, Lixing Yang, and Ziyou Gao. 2017. “Joint Optimal Train Regulation and Passenger Flow Control Strategy for High-Frequency Metro Lines.” Transportation Research Part B: Methodological 99: 113–137. doi:10.1016/j.trb.2017.01.010.
- Li, Shukai, Xuesong Zhou, Lixing Yang, and Ziyou Gao. 2018. “Automatic Train Regulation of Complex Metro Networks with Transfer Coordination Constraints: A Distributed Optimal Control Framework.” Transportation Research Part B: Methodological 117: 228–253. doi:10.1016/j.trb.2018.09.001.
- Liebchen, Christian, Mark Proksch, and Frank H. Wagner. 2008. “Performance of Algorithms for Periodic Timetable Optimization.” Lecture Notes in Economics & Mathematical Systems 600: 151–180.
- Medanic, J., and M. J. Dorfman. 2002. “Efficient Scheduling of Traffic on a Railway Line.” Journal of Optimization Theory Applications 115 (3): 587–602. doi:10.1023/a:1021255214371.
- Nachtigall, K. 1996. “Periodic Network Optimization with Different Arc Frequencies.” Discrete Applied Mathematics 69 (1-2): 1–17
- Niu, Huimin, and Xuesong Zhou. 2013. “Optimizing Urban Rail Timetable Under Time-Dependent Demand and Oversaturated Conditions.” Transportation Research Part C: Emerging Technologies 36: 212–230. doi:10.1016/j.trc.2013.08.016.
- Odijk, Michiel A. 1996. “A Constraint Generation Algorithm for the Construction of Periodic Railway Timetables.” Transportation Research Part B Methodological 30 (6): 455–464.
- Peng, Qiyuan, Jun Zhao, and Chao Wen. 2013. “A Rolling Horizon-Based Decomposition Algorithm for the Railway Network Train Timetabling Problem.” International Journal of Rail Transportation 1 (3): 129–160. doi:10.1080/21650349.2013.808419.
- Schanzenbacher, Florian, Nadir Farhi, Fabien Leurent, and Gérard Gabriel. 2018. “A Discrete Event Traffic Model Explaining the Traffic Phases of the Train Dynamics on a Linear Metro Line with Demand-Dependent Control.”
- Schmaranzer, David, Roland Braune, and Karl F. Doerner. 2017. “A Discrete Event Simulation Model of the Viennese Subway System for Decision Support and Strategic Planning.” Paper presented at the Winter Simulation Conference.
- Serafini, Paolo, and Walter Ukovich. 1989. “A Mathematical Model for Periodic Scheduling Problems.”
- Shi, Jungang, Lixing Yang, Jing Yang, and Ziyou Gao. 2018. “Service-Oriented Train Timetabling with Collaborative Passenger Flow Control on an Oversaturated Metro Line: An Integer Linear Optimization Approach.” Transportation Research Part B: Methodological 110: 26–59. doi:10.1016/j.trb.2018.02.003.
- Sirmatel, Isik Ilber, and Nikolas Geroliminis. 2018. “Mixed Logical Dynamical Modeling and Hybrid Model Predictive Control of Public Transport Operations.” Transportation Research Part B Methodological 114: 325–345.
- Sparing, Daniel, and Rob M. P. Goverde. 2013. “An Optimization Model for Periodic Timetable Generation with Dynamic Frequencies.” Paper presented at the International IEEE Conference on Intelligent Transportation Systems.
- Srinivas, M., and L. M. Patnaik. 1994. “Adaptive Probabilities of Crossover and Mutation in Genetic Algorithms.” IEEE Transactions on Systems Man & Cybernetics 24 (4): 656–667.
- Sun, Huijun, Jianjun Wu, Hongnan Ma, Yang Xin, and Ziyou Gao. 2018. “A Bi-Objective Timetable Optimization Model for Urban Rail Transit Based on the Time-Dependent Passenger Volume.” IEEE Transactions on Intelligent Transportation Systems 99: 1–12.
- Sun, Xubin, Shaobo Zhang, Hairong Dong, and Hainan Zhu. 2014. “Optimal Train Schedule with Headway and Passenger Flow Dynamic Models.” Paper presented at the IEEE International Conference on Intelligent Rail Transportation.
- Tuzun Aksu, Dilek, and Ugur Akyol. 2014. “Transit Coordination Using Integer-Ratio Headways.” IEEE Transactions on Intelligent Transportation Systems 15 (4): 1633–1642. doi:10.1109/tits.2014.2301821.
- Vansteenwegen, P., and D. Van Oudheusden. 2007. “Decreasing the Passenger Waiting Time for an Intercity Rail Network.” Transportation Research Part B: Methodological 41 (4): 478–492. doi:10.1016/j.trb.2006.06.006.
- Wang, Yihui, Tang Tao, Bin Ning, Ton J. J. Van Den Boom, and Bart De Schutter. 2015. “Passenger-Demands-Oriented Train Scheduling for an Urban Rail Transit Network.” Transportation Research Part C: Emerging Technologies 60:1-23.
- Wong, Rachel C. W., Tony W. Y. Yuen, Kwok Wah Fung, and Janny M. Y. Leung. 2008. “Optimizing Timetable Synchronization for Rail Mass Transit.” Transportation Science 42 (1): 57–69. doi:10.1287/trsc.1070.0200.
- Wu, Jianjun, Muhan Liu, Huijun Sun, Tongfei Li, Ziyou Gao, and David Z. W. Wang. 2015. “Equity-Based Timetable Synchronization Optimization in Urban Subway Network.” Transportation Research Part C: Emerging Technologies 51: 1–18. doi:10.1016/j.trc.2014.11.001.
- Zhong, Jing-Hui, Meie Shen, Jun Zhang, Henry Shu-Hung Chung, Yu-Hui Shi, and Yun Li. 2013. “A Differential Evolution Algorithm With Dual Populations for Solving Periodic Railway Timetable Scheduling Problem.” IEEE Transactions on Evolutionary Computation 17 (4): 512–527. doi:10.1109/tevc.2012.2206394.