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A Survey of Optimization Models for Train Routing and Scheduling

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  1. Hamid Sayarshad & Nikbakhsh Javadian & Reza Tavakkoli-Moghaddam & Nastaran Forghani, 2010. "Solving multi-objective optimization formulation for fleet planning in a railway industry," Annals of Operations Research, Springer, vol. 181(1), pages 185-197, December.
  2. Daganzo, Carlos F., 2007. "Corrigendum to "Urban gridlock: Macroscopic modeling and mitigation approaches" [Transportation Research Part B 41 (2007) 49-62]," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 379-379, March.
  3. Lanza, Giacomo & Crainic, Teodor Gabriel & Rei, Walter & Ricciardi, Nicoletta, 2021. "Scheduled service network design with quality targets and stochastic travel times," European Journal of Operational Research, Elsevier, vol. 288(1), pages 30-46.
  4. Cacchiani, Valentina & Toth, Paolo, 2012. "Nominal and robust train timetabling problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 727-737.
  5. Mor Kaspi & Tal Raviv, 2013. "Service-Oriented Line Planning and Timetabling for Passenger Trains," Transportation Science, INFORMS, vol. 47(3), pages 295-311, August.
  6. Michael F. Gorman & Dharma Acharya & David Sellers, 2010. "CSX Railway Uses OR to Cash In on Optimized Equipment Distribution," Interfaces, INFORMS, vol. 40(1), pages 5-16, February.
  7. Belgacem Bouzaiene-Ayari & Clark Cheng & Sourav Das & Ricardo Fiorillo & Warren B. Powell, 2016. "From Single Commodity to Multiattribute Models for Locomotive Optimization: A Comparison of Optimal Integer Programming and Approximate Dynamic Programming," Transportation Science, INFORMS, vol. 50(2), pages 366-389, May.
  8. Silke Jütte & Daniel Müller & Ulrich W. Thonemann, 2017. "Optimizing railway crew schedules with fairness preferences," Journal of Scheduling, Springer, vol. 20(1), pages 43-55, February.
  9. G Lulli & U Pietropaoli & N Ricciardi, 2011. "Service network design for freight railway transportation: the Italian case," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2107-2119, December.
  10. Wang, Yihui & Tang, Tao & Ning, Bin & Meng, Lingyun, 2017. "Integrated optimization of regular train schedule and train circulation plan for urban rail transit lines," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 83-104.
  11. Cordeau, Jean-François & Desaulniers, Guy & Lingaya, Norbert & Soumis, François & Desrosiers, Jacques, 2001. "Simultaneous locomotive and car assignment at VIA Rail Canada," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 767-787, September.
  12. Kang, Liujiang & Zhu, Xiaoning & Sun, Huijun & Wu, Jianjun & Gao, Ziyou & Hu, Bin, 2019. "Last train timetabling optimization and bus bridging service management in urban railway transit networks," Omega, Elsevier, vol. 84(C), pages 31-44.
  13. Elio Canestrelli & Marco Corazza & Giuseppe Nadai & Raffaele Pesenti, 2017. "Managing the Ship Movements in the Port of Venice," Networks and Spatial Economics, Springer, vol. 17(3), pages 861-887, September.
  14. Sels, P. & Vansteenwegen, P. & Dewilde, T. & Cattrysse, D. & Waquet, B. & Joubert, A., 2014. "The train platforming problem: The infrastructure management company perspective," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 55-72.
  15. Chu, James C., 2018. "Mixed-integer programming model and branch-and-price-and-cut algorithm for urban bus network design and timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 188-216.
  16. Xin Wang & Stein W. Wallace, 2016. "Stochastic scheduled service network design in the presence of a spot market for excess capacity," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(4), pages 393-413, December.
  17. Schwerdfeger, Stefan & Otto, Alena & Boysen, Nils, 2021. "Rail platooning: Scheduling trains along a rail corridor with rapid-shunting facilities," European Journal of Operational Research, Elsevier, vol. 294(2), pages 760-778.
  18. Han Zheng & Junhua Chen & Zhaocha Huang & Jianhao Zhu, 2022. "Joint Optimization of Multi-Cycle Timetable Considering Supply-to-Demand Relationship and Energy Consumption for Rail Express," Mathematics, MDPI, vol. 10(21), pages 1-29, November.
  19. Line Blander Reinhardt & David Pisinger & Richard Lusby, 2018. "Railway capacity and expansion analysis using time discretized paths," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 712-739, December.
  20. Dorfman, M. J. & Medanic, J., 2004. "Scheduling trains on a railway network using a discrete event model of railway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 81-98, January.
  21. Jespersen-Groth, J. & Potthoff, D. & Clausen, J. & Huisman, D. & Kroon, L.G. & Maróti, G. & Nielsen, M.N., 2007. "Disruption management in passenger railway transportation," Econometric Institute Research Papers EI 2007-05, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  22. Nils Boysen & Florian Jaehn & Erwin Pesch, 2011. "Scheduling Freight Trains in Rail-Rail Transshipment Yards," Transportation Science, INFORMS, vol. 45(2), pages 199-211, May.
  23. Xiaoming Xu & Keping Li & Lixing Yang & Ziyou Gao, 2019. "An efficient train scheduling algorithm on a single-track railway system," Journal of Scheduling, Springer, vol. 22(1), pages 85-105, February.
  24. Albrecht, Amie & Howlett, Phil & Pudney, Peter & Vu, Xuan & Zhou, Peng, 2016. "The key principles of optimal train control—Part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 482-508.
  25. Blum, Jeremy & Eskandarian, Azim, 2002. "Enhancing intelligent agent collaboration for flow optimization of railroad traffic," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(10), pages 919-930, December.
  26. Taslimi, Bijan & Babaie Sarijaloo, Farnaz & Liu, Hongcheng & Pardalos, Panos M., 2022. "A novel mixed integer programming model for freight train travel time estimation," European Journal of Operational Research, Elsevier, vol. 300(2), pages 676-688.
  27. Zhang, Yongxiang & D'Ariano, Andrea & He, Bisheng & Peng, Qiyuan, 2019. "Microscopic optimization model and algorithm for integrating train timetabling and track maintenance task scheduling," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 237-278.
  28. Nourbakhsh, Seyed Mohammad & Ouyang, Yanfeng, 2010. "Optimal fueling strategies for locomotive fleets in railroad networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1104-1114, September.
  29. Taherkhani, Gita & Bilegan, Ioana C. & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2022. "Tactical capacity planning in an integrated multi-stakeholder freight transportation system," Omega, Elsevier, vol. 110(C).
  30. Pellegrini, Paola & Rodriguez, Joaquin, 2013. "Single European Sky and Single European Railway Area: A system level analysis of air and rail transportation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 57(C), pages 64-86.
  31. Bilegan, Ioana C. & Crainic, Teodor Gabriel & Wang, Yunfei, 2022. "Scheduled service network design with revenue management considerations and an intermodal barge transportation illustration," European Journal of Operational Research, Elsevier, vol. 300(1), pages 164-177.
  32. P. Chardaire & G. P. McKeown & S. A. Verity-Harrison & S. B. Richardson, 2005. "Solving a Time-Space Network Formulation for the Convoy Movement Problem," Operations Research, INFORMS, vol. 53(2), pages 219-230, April.
  33. Carey, Malachy & Crawford, Ivan, 2007. "Scheduling trains on a network of busy complex stations," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 159-178, February.
  34. Dall'Orto, Leonardo Campo & Crainic, Teodor Gabriel & Leal, Jose Eugenio & Powell, Warren B., 2006. "The single-node dynamic service scheduling and dispatching problem," European Journal of Operational Research, Elsevier, vol. 170(1), pages 1-23, April.
  35. Jin, Jian Gang & Zhao, Jun & Lee, Der-Horng, 2013. "A column generation based approach for the Train Network Design Optimization problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 1-17.
  36. Kuo, Ching-Chung & Nicholls, Gillian M., 2007. "A mathematical modeling approach to improving locomotive utilization at a freight railroad," Omega, Elsevier, vol. 35(5), pages 472-485, October.
  37. Niu, Huimin & Zhou, Xuesong & Gao, Ruhu, 2015. "Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 117-135.
  38. Jardar Andersen & Marielle Christiansen & Teodor Gabriel Crainic & Roar Grønhaug, 2011. "Branch and Price for Service Network Design with Asset Management Constraints," Transportation Science, INFORMS, vol. 45(1), pages 33-49, February.
  39. Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005. "Operations Research in passenger railway transportation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497, November.
  40. Yin, Jiateng & D’Ariano, Andrea & Wang, Yihui & Yang, Lixing & Tang, Tao, 2021. "Timetable coordination in a rail transit network with time-dependent passenger demand," European Journal of Operational Research, Elsevier, vol. 295(1), pages 183-202.
  41. Wang, Dian & D’Ariano, Andrea & Zhao, Jun & Zhong, Qingwei & Peng, Qiyuan, 2022. "Integrated rolling stock deadhead routing and timetabling in urban rail transit lines," European Journal of Operational Research, Elsevier, vol. 298(2), pages 526-559.
  42. Martin-Iradi, Bernardo & Ropke, Stefan, 2022. "A column-generation-based matheuristic for periodic and symmetric train timetabling with integrated passenger routing," European Journal of Operational Research, Elsevier, vol. 297(2), pages 511-531.
  43. Delorme, Xavier & Gandibleux, Xavier & Rodriguez, Joaquín, 2009. "Stability evaluation of a railway timetable at station level," European Journal of Operational Research, Elsevier, vol. 195(3), pages 780-790, June.
  44. Hassini, Elkafi & Verma, Manish, 2016. "Disruption risk management in railroad networks: An optimization-based methodology and a case studyAuthor-Name: Azad, Nader," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 70-88.
  45. Acuna-Agost, Rodrigo & Michelon, Philippe & Feillet, Dominique & Gueye, Serigne, 2011. "SAPI: Statistical Analysis of Propagation of Incidents. A new approach for rescheduling trains after disruptions," European Journal of Operational Research, Elsevier, vol. 215(1), pages 227-243, November.
  46. Christian Artigues & Eric Bourreau & Vincent Jost & Safia Kedad-Sidhoum & François Ramond, 2018. "Trains do not vanish: the ROADEF/EURO challenge 2014," Annals of Operations Research, Springer, vol. 271(2), pages 1091-1105, December.
  47. Gianmarco Garrisi & Cristina Cervelló-Pastor, 2019. "Train-Scheduling Optimization Model for Railway Networks with Multiplatform Stations," Sustainability, MDPI, vol. 12(1), pages 1-25, December.
  48. Chen, Zebin & Li, Shukai & D’Ariano, Andrea & Yang, Lixing, 2022. "Real-time optimization for train regulation and stop-skipping adjustment strategy of urban rail transit lines," Omega, Elsevier, vol. 110(C).
  49. Boysen, Nils & Fliedner, Malte & Jaehn, Florian & Pesch, Erwin, 2012. "Shunting yard operations: Theoretical aspects and applications," European Journal of Operational Research, Elsevier, vol. 220(1), pages 1-14.
  50. Mo, Pengli & D’Ariano, Andrea & Yang, Lixing & Veelenturf, Lucas P. & Gao, Ziyou, 2021. "An exact method for the integrated optimization of subway lines operation strategies with asymmetric passenger demand and operating costs," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 283-321.
  51. Shujuan Guo & Cuijie Diao & Gang Li & Katsuhiko Takahashi, 2021. "The Two-Echelon Dual-Channel Models for the Intermodal Container Terminals of the China Railway Express Considering Container Accumulation Modes," Sustainability, MDPI, vol. 13(5), pages 1-19, March.
  52. Lu, Gongyuan & Ning, Jia & Liu, Xiaobo & Nie, Yu (Marco), 2022. "Train platforming and rescheduling with flexible interlocking mechanisms: An aggregate approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
  53. Lawley, Mark & Parmeshwaran, Vijay & Richard, Jean-Philippe & Turkcan, Ayten & Dalal, Malay & Ramcharan, David, 2008. "A time-space scheduling model for optimizing recurring bulk railcar deliveries," Transportation Research Part B: Methodological, Elsevier, vol. 42(5), pages 438-454, June.
  54. Erwin Abbink & Bianca van den Berg & Leo Kroon & Marc Salomon, 2004. "Allocation of Railway Rolling Stock for Passenger Trains," Transportation Science, INFORMS, vol. 38(1), pages 33-41, February.
  55. Albrecht, Amie & Howlett, Phil & Pudney, Peter & Vu, Xuan & Zhou, Peng, 2018. "The two-train separation problem on non-level track—driving strategies that minimize total required tractive energy subject to prescribed section clearance times," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 135-167.
  56. Alberto Caprara & Enrico Malaguti & Paolo Toth, 2011. "A Freight Service Design Problem for a Railway Corridor," Transportation Science, INFORMS, vol. 45(2), pages 147-162, May.
  57. Shuaian Wang & Dan Zhuge & Lu Zhen & Chung-Yee Lee, 2021. "Liner Shipping Service Planning Under Sulfur Emission Regulations," Transportation Science, INFORMS, vol. 55(2), pages 491-509, March.
  58. Li, Feng & Gao, Ziyou & Li, Keping & Yang, Lixing, 2008. "Efficient scheduling of railway traffic based on global information of train," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 1008-1030, December.
  59. Michael Berliner Pedersen & Teodor Gabriel Crainic & Oli B. G. Madsen, 2009. "Models and Tabu Search Metaheuristics for Service Network Design with Asset-Balance Requirements," Transportation Science, INFORMS, vol. 43(2), pages 158-177, May.
  60. Koorush Ziarati & François Soumis & Jacques Desrosiers & Marius M. Solomon, 1999. "A Branch-First, Cut-Second Approach for Locomotive Assignment," Management Science, INFORMS, vol. 45(8), pages 1156-1168, August.
  61. J. Medanic & M.J. Dorfman, 2002. "Efficient Scheduling of Traffic on a Railway Line," Journal of Optimization Theory and Applications, Springer, vol. 115(3), pages 587-602, December.
  62. Alain Billionnet, 2003. "Using Integer Programming to Solve the Train-Platforming Problem," Transportation Science, INFORMS, vol. 37(2), pages 213-222, May.
  63. Manish Verma & Vedat Verter & Michel Gendreau, 2011. "A Tactical Planning Model for Railroad Transportation of Dangerous Goods," Transportation Science, INFORMS, vol. 45(2), pages 163-174, May.
  64. Ralf Borndörfer & Torsten Klug & Thomas Schlechte & Armin Fügenschuh & Thilo Schang & Hanno Schülldorf, 2016. "The Freight Train Routing Problem for Congested Railway Networks with Mixed Traffic," Transportation Science, INFORMS, vol. 50(2), pages 408-423, May.
  65. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
  66. J. Macías-Guarasa & R. San-Segundo & J.M. Montero & J. Ferreiros & R. Córdoba & F. Fernández & L.F. D'Haro & J.M. Pardo, 2005. "Adapting a Search Algorithm for the Spanish Railway Network," Transportation Planning and Technology, Taylor & Francis Journals, vol. 29(1), pages 25-42, December.
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  69. Alberto Ceselli & Michael Gatto & Marco E. Lübbecke & Marc Nunkesser & Heiko Schilling, 2008. "Optimizing the Cargo Express Service of Swiss Federal Railways," Transportation Science, INFORMS, vol. 42(4), pages 450-465, November.
  70. Camilo Ortiz-Astorquiza & Jean-François Cordeau & Emma Frejinger, 2021. "The Locomotive Assignment Problem with Distributed Power at the Canadian National Railway Company," Transportation Science, INFORMS, vol. 55(2), pages 510-531, March.
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  72. Flamini, Marta & Pacciarelli, Dario, 2008. "Real time management of a metro rail terminus," European Journal of Operational Research, Elsevier, vol. 189(3), pages 746-761, September.
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  74. Huang, Yu & Zhou, Wenliang & Qin, Jin & Deng, Lianbo, 2023. "Optimization of energy-efficiency train schedule considering passenger demand and rolling stock circulation plan of subway line," Energy, Elsevier, vol. 275(C).
  75. Zhou, Xuesong & Zhong, Ming, 2005. "Bicriteria train scheduling for high-speed passenger railroad planning applications," European Journal of Operational Research, Elsevier, vol. 167(3), pages 752-771, December.
  76. Asteris, Michael & Collins, Alan & Jones, Dylan F., 2012. "Container port infrastructure in north-west Europe: Policy-level modeling," Journal of Policy Modeling, Elsevier, vol. 34(2), pages 312-324.
  77. Amar Kumar Narisetty & Jean-Philippe P. Richard & David Ramcharan & Deby Murphy & Gayle Minks & Jim Fuller, 2008. "An Optimization Model for Empty Freight Car Assignment at Union Pacific Railroad," Interfaces, INFORMS, vol. 38(2), pages 89-102, April.
  78. Pan, Hanchuan & Liu, Zhigang & Yang, Lixing & Liang, Zhe & Wu, Qiang & Li, Sijie, 2021. "A column generation-based approach for integrated vehicle and crew scheduling on a single metro line with the fully automatic operation system by partial supervision," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
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