Passenger train scheduling on a single-track or partially double-track railway with stochastic information

References

• Adenso-Diaz , B. , Gonzalez , M. O. and Torre , P. G. 1999 . On-line timetable re-scheduling in regional train services . Transportation Research – Part B: Methodological , 33 ( 6 ) : 387 – 398 .
   Web of Science ®Google Scholar
• Amit , I. and Goldfarb , D. 1971 . The timetable problem for railways . Developments in Operations Research , 2 : 379 – 387 .
   Google Scholar
• Carey , M. and Lockwood , D. 1995 . A model, algorithms and strategy for train pathing . Journal of the Operational Research Society , 46 ( 8 ) : 988 – 1005 .
   Web of Science ®Google Scholar
• Castelli , L. , Pesenti , R. and Ukovich , W. 2004 . Scheduling multimodal transportation systems . European Journal of Operational Research , 155 ( 3 ) : 603 – 615 .
   Google Scholar
• Chierici , A. , Cordone , R. and Maja , R. 2004 . The demand-dependent optimization of regular train timetables . Electronic Notes in Discrete Mathematics , 17 : 99 – 104 .
   Google Scholar
• Dorfman , M. J. and Medanic , J. 2004 . Scheduling trains on a railway network using a discrete event model of railway traffic . Transportation Research – Part B: Methodological , 38 ( 1 ) : 81 – 98 .
   Web of Science ®Google Scholar
• Ghoseiri , K. , Szidarovszky , F. and Asgharpour , M. J. 2004 . A multi-objective train scheduling model and solution . Transportation Research – Part B: Methodological , 38 ( 10 ) : 927 – 952 .
   Web of Science ®Google Scholar
• Hejazi , S. R. , Emami , S. and Arkan , A. 2009 . A heuristic algorithm for minimizing the expected makespan in two-machine flow shops with fuzzy processing time . Journal of Uncertain Systems , 3 ( 2 ) : 114 – 122 .
   Google Scholar
• Higgins , A. , Kozan , E. and Ferreira , L. 1996 . Optimal scheduling of trains on a single line track . Transportation Research – Part B: Methodological , 30 ( 2 ) : 147 – 161 .
   Web of Science ®Google Scholar
• Higgins , A. , Kozan , E. and Ferreira , L. 1997 . Modelling the number and location of siding on a single line railway . Computer and Operations Research , 24 ( 3 ) : 209 – 220 .
   Web of Science ®Google Scholar
• Jovanovic , D. and Harker , P. T. 1991 . Tactical scheduling of rail operations: the SCAN I system . Transportation Science , 25 ( 1 ) : 46 – 64 .
   Web of Science ®Google Scholar
• Kraay , D. R. and Harker , P. T. 1995 . Real-time scheduling of freight railroads . Transportation Research – Part B: Methodological , 29 ( 3 ) : 213 – 229 .
   Google Scholar
• Kraay , D. , Harker , P. T. and Chen , B. 1991 . Optimal pacing of trains in freight railroads: model formulation and solution . Operations Research , 39 ( 1 ) : 82 – 99 .
   Web of Science ®Google Scholar
• Li , F. 2008 . Efficient scheduling of railway traffic based on global information of train. . Transportation Research – Part B: Methodological , 42 ( 10 ) : 1008 – 1030 .
   Google Scholar
• Liu , B. 2002 . Theory and Practice of Uncertain Programming , Heidelberg : Physica-Verlag .
   Google Scholar
• Liu , B. 2009 . Some research problems in uncertainty theory . Journal of Uncertain Systems , 3 ( 1 ) : 3 – 10 .
   Google Scholar
• Sahin , I. 1999 . Railway traffic control and train scheduling based on inter-train conflict management . Transportation Research – Part B: Methodological , 33 ( 7 ) : 511 – 534 .
   Web of Science ®Google Scholar
• Yang , L. , Li , K. and Gao , Z. 2009 . Train timetable problem on a single-line railway with fuzzy passenger demand . IEEE Transactions on Fuzzy Systems , 17 ( 3 ) : 617 – 629 .
   Web of Science ®Google Scholar
• Yang , L. and Liu , L. 2007 . Fuzzy fixed charge solid transportation problem and algorithm . Applied Soft Computing , 7 ( 3 ) : 879 – 889 .
   Google Scholar
• Zhou , X. and Zhong , M. 2007 . Single-track train timetabling with guaranteed optimality: branch-and-bound algorithms with enhanced lower bounds . Transportation Research – Part B: Methodological , 41 ( 3 ) : 320 – 341 .
   Web of Science ®Google Scholar