A Stochastic Optimization Approach to Energy-Efficient Underground Timetabling Under Uncertain Dwell and Running Times
References
- (2007) Constraint integer programming. Doctoral thesis, Technische Universität Berlin, Fakultät II - Mathematik und Naturwissenschaften, Berlin.Google Scholar
- (2010) Reducing power peaks and energy consumption in rail transit systems by simultaneous train running time control. WIT Trans. on State of the Art in Science and Engineering 74:1–10.Crossref, Google Scholar
- (2020) The clique problem with multiple-choice constraints under a cycle-free dependency graph. Discrete Appl. Math. 283:59–77.Crossref, Google Scholar
- (2017) A comparison of performance metrics for balancing the power consumption of trains in a railway network by slight timetable adaptation. Public Transport 9(1–2):95–113.Crossref, Google Scholar
- (2021) Efficient formulations and decomposition approaches for power peak reduction in railway traffic via timetabling. Transportation Sci. 55(3):747–767.Link, Google Scholar
- (2018) Staircase compatibility and its applications in scheduling and piecewise linearization. Discrete Optim. 29:111–132.Crossref, Google Scholar
- (2022) EETTlib – Energy-efficient train timetabling library. Accessed June 8, 2023, http://www.optimization-online.org/DB_HTML/2021/09/8597.html.Google Scholar
- (2012) Nominal and robust train timetabling problems. European J. Oper. Res. 219(3):727–737.Crossref, Google Scholar
- (2014) An overview of recovery models and algorithms for real-time railway rescheduling. Transportation Res. Part B 63:15–37.Crossref, Google Scholar
- (2005) Optimization of an mrt train schedule: Reducing maximum traction power by using genetic algorithms. IEEE Trans. 20(3):1366–1372.Google Scholar
- , (2013) A review study on traction energy saving of rail transport. Discrete Dynam. Nature Soc. 2013:1–9.Crossref, Google Scholar
- (2012) Energy optimization of metro timetables: A hybrid approach. The 18th International Conference on Principles and Practice of Constraint Programming (Springer, Berlin), 7–12.Google Scholar
- , (2022) A rolling-horizon approach for multi-period optimization. European J. Oper. Res. 300(1):189–206.Crossref, Google Scholar
- (2014) An integrated energy-efficient operation methodology for metro systems based on a real case of shanghai metro line one. Energies 7(11):7305–7329.Crossref, Google Scholar
- Gurobi Optimization (2022) Gurobi optimizer reference manual. Accessed June 8, 2023, http://www.gurobi.com.Google Scholar
- (2014) The impact of different maximum speeds on journey times, energy use, headway times and the number of trains required for phase one of Britain’s high speed two line. WIT Transactions on the Built Environment 135:485–496.Google Scholar
- (1994) Stochastic Programming. Wiley-Interscience Series in Systems and Optimization (John Wiley & Sons, Ltd., Chichester).Google Scholar
- (2011) A model and approaches for synchronized energy saving in timetable. Proc. 9th World Congress Railway Res. (WCRR) (Lille, France, May 2011), 1–8.Google Scholar
- (2010) A mathematical approach for reducing the maximum traction energy: The case of Korean mrt trains. Proc. Internat. MultiConf. Engineers Comput. Scientists. Hong Kong, March 17 − 19, 2010, vol. III (International Association of Engineers), 2169–2173.Google Scholar
- (2014) Strategy of speed restriction allowing extended running times to minimize energy consumption and passenger disutility. WIT Trans. on The Built Environment 135:733–743.Google Scholar
- (2002) The sample average approximation method for stochastic discrete optimization. SIAM J. Optim. 12(2):479–502.Crossref, Google Scholar
- (2011) A note on the online nature of the railway delay management problem. Networks 57(1):28–37.Crossref, Google Scholar
- (2008) Stochastic improvement of cyclic railway timetables. Transportation Res. Part B 42(6):553–570.Crossref, Google Scholar
- (2014) Energy minimization in dynamic train scheduling and control for metro rail operations. Transportation Res. Part B 70:269–284.Crossref, Google Scholar
- (2018) A survey on robustness in railway planning. European J. Oper. Res. 266(1):1–15.Crossref, Google Scholar
- (2012) Optimal underground timetable design based on power flow for maximizing the use of regenerative-braking energy. Proc. Institution Mech. Engineers, Part F: J. Rail Rapid Transit 226(4):397–408.Crossref, Google Scholar
- (2014) Minimizing energy consumption in railways by voltage control on substations. WIT Trans. on the Built Environment 135:697–708.Google Scholar
- (2021) Method for designing robust and energy efficient railway schedules. Energies 14(24):8248.Crossref, Google Scholar
- (1997) Instantaneous power peak reduction and train scheduling desynchronization in subway systems. Transportation Sci. 31(4):312–323.Link, Google Scholar
- (2017) Review of energy-efficient train control and timetabling. European J. Oper. Res. 257(2):355–376.Crossref, Google Scholar
- (2013) A subway train timetable optimization approach based on energy-efficient operation strategy. IEEE Trans. 14(2):883–893.Google Scholar
- (2009) Python 3 Reference Manual (CreateSpace, Scotts Valley, CA)Google Scholar
- (2019) Multi-train trajectory optimization for energy-efficient timetabling. European J. Oper. Res. 272(2):621–635.Crossref, Google Scholar
- (2021) Energy-efficient timetabling and rolling stock circulation planning based on automatic train operation levels for metro lines. Transportation Res. Part C: Emerging Technologies 129:103209.Crossref, Google Scholar
- (2016) Energy-efficient metro train rescheduling with uncertain time-variant passenger demands: An approximate dynamic programming approach. Transportation Res. Part B 91:178–210.Crossref, Google Scholar
- (2017) Research and development of automatic train operation for railway transportation systems: A survey. Transportation Res. Part C: Emerging Technologies 85:548–572.Crossref, Google Scholar
- (2017) Joint optimization of high-speed train timetables and speed profiles: A unified modeling approach using space-time-speed grid networks. Transportation Res. Part B 97:157–181.Crossref, Google Scholar

