메뉴 건너뛰기




Volumn 6, Issue 2, 2008, Pages 125-142

A column generation approach to train timetabling on a corridor

Author keywords

Column generation; Constructive heuristics; Experimental results; ILP formulation; Separation; Train timetabling

Indexed keywords


EID: 43949092779     PISSN: 16194500     EISSN: 16142411     Source Type: Journal    
DOI: 10.1007/s10288-007-0037-5     Document Type: Article
Times cited : (121)

References (21)
  • 1
    • 0000816725 scopus 로고    scopus 로고
    • Branch-and-price: column generation for solving huge integer programs
    • C Barnhart EL Johnson GL Nemhauser MWP Savelsbergh PH Vance 1998 Branch-and-price: column generation for solving huge integer programs Oper Res 46 316 329 Barnhart C, Johnson EL, Nemhauser GL, Savelsbergh MWP, Vance PH (1998) Branch-and-price: column generation for solving huge integer programs. Oper Res 46:316–329
    • (1998) Oper Res , vol.46 , pp. 316-329
    • Barnhart, C1    Johnson, EL2    Nemhauser, GL3    Savelsbergh, MWP4    Vance, PH5
  • 2
    • 85121082940 scopus 로고    scopus 로고
    • Borndörfer R, Grötschel M, Lukac S, Mitusch K, Schlechte T, Schultz S, Tanner A (2005) An auctioning approach to railway slot allocation. ZIB Technical Report ZR-05-45
  • 3
    • 0032203470 scopus 로고    scopus 로고
    • Allocation of scarce track capacity using Lagrangian relaxation
    • U Brännlund PO Lindberg A Nöu JE Nilsson 1998 Allocation of scarce track capacity using Lagrangian relaxation Transp Sci 32 358 369 10.1287/trsc.32.4.358 Brännlund U, Lindberg PO, Nöu A, Nilsson JE (1998) Allocation of scarce track capacity using Lagrangian relaxation. Transp Sci 32:358–369
    • (1998) Transp Sci , vol.32 , pp. 358-369
    • Brännlund, U1    Lindberg, PO2    Nöu, A3    Nilsson, JE4
  • 4
    • 0028436769 scopus 로고
    • A fast heuristic for the train scheduling problem
    • X Cai CJ Goh 1994 A fast heuristic for the train scheduling problem Comput Oper Res 21 499 510 10.1016/0305-0548(94)90099-X Cai X, Goh CJ (1994) A fast heuristic for the train scheduling problem. Comput Oper Res 21:499–510
    • (1994) Comput Oper Res , vol.21 , pp. 499-510
    • Cai, X1    Goh, CJ2
  • 5
    • 0036759198 scopus 로고    scopus 로고
    • Modeling and solving the train timetabling problem
    • A Caprara M Fischetti P Toth 2002 Modeling and solving the train timetabling problem Oper Res 50 851 861 10.1287/opre.50.5.851.362 Caprara A, Fischetti M, Toth P (2002) Modeling and solving the train timetabling problem. Oper Res 50:851–861
    • (2002) Oper Res , vol.50 , pp. 851-861
    • Caprara, A1    Fischetti, M2    Toth, P3
  • 6
    • 85121074837 scopus 로고    scopus 로고
    • A Caprara L Kroon M Monaci M Peeters P Toth 2006 Passenger railway optimization C Barnhart G Laporte Handbooks in operations research and management science, vol 14 Elsevier Amsterdam 129 187 Caprara A, Kroon L, Monaci M, Peeters M, Toth P (2006) Passenger railway optimization. In: Barnhart C, Laporte G (eds) Handbooks in operations research and management science, vol 14. Elsevier, Amsterdam, pp 129–187
  • 7
    • 33644594453 scopus 로고    scopus 로고
    • A Lagrangian heuristic approach to real-world train timetabling problems
    • A Caprara M Monaci P Toth PL Guida 2006 A Lagrangian heuristic approach to real-world train timetabling problems Disc Appl Math 154 738 753 10.1016/j.dam.2005.05.026 Caprara A, Monaci M, Toth P, Guida PL (2006) A Lagrangian heuristic approach to real-world train timetabling problems. Disc Appl Math 154:738–753
    • (2006) Disc Appl Math , vol.154 , pp. 738-753
    • Caprara, A1    Monaci, M2    Toth, P3    Guida, PL4
  • 8
    • 0029236610 scopus 로고
    • A model, algorithms and strategy for train pathing
    • M Carey D Lockwood 1995 A model, algorithms and strategy for train pathing J Oper Res Soc 46 988 1005 10.1038/sj/jors/0460806 Carey M, Lockwood D (1995) A model, algorithms and strategy for train pathing. J Oper Res Soc 46:988–1005
    • (1995) J Oper Res Soc , vol.46 , pp. 988-1005
    • Carey, M1    Lockwood, D2
  • 9
    • 0031234257 scopus 로고    scopus 로고
    • Heuristic techniques for single line train scheduling
    • A Higgings E Kozan L Ferreira 1997 Heuristic techniques for single line train scheduling J Heuristics 3 43 62 10.1023/A:1009672832658 Higgings A, Kozan E, Ferreira L (1997) Heuristic techniques for single line train scheduling. J Heuristics 3:43–62
    • (1997) J Heuristics , vol.3 , pp. 43-62
    • Higgings, A1    Kozan, E2    Ferreira, L3
  • 10
    • 0026104713 scopus 로고
    • Tactical scheduling of rail operations: the SCAN I system
    • D Jovanovic PT Harker 1991 Tactical scheduling of rail operations: the SCAN I system Transp Sci 25 46 64 Jovanovic D, Harker PT (1991) Tactical scheduling of rail operations: the SCAN I system. Transp Sci 25:46–64
    • (1991) Transp Sci , vol.25 , pp. 46-64
    • Jovanovic, D1    Harker, PT2
  • 11
    • 0043207353 scopus 로고    scopus 로고
    • A variable trip time model for cyclic railway timetabling
    • LG Kroon LWP Peeters 2003 A variable trip time model for cyclic railway timetabling Transp Sci 37 198 212 10.1287/trsc.37.2.198.15247 Kroon LG, Peeters LWP (2003) A variable trip time model for cyclic railway timetabling. Transp Sci 37:198–212
    • (2003) Transp Sci , vol.37 , pp. 198-212
    • Kroon, LG1    Peeters, LWP2
  • 12
    • 85121075830 scopus 로고    scopus 로고
    • Liebchen C, Proksch M, Wagner FH (2004) Performance of algorithms for periodic timetable optimization. TU Preprint 021/2004, TU Berlin Computer-aided transit scheduling. Lecture notes in economics and mathematical systems. Springer, Berlin (to appear)
  • 13
    • 85121085958 scopus 로고    scopus 로고
    • Lindner T (2000) Train schedule optimization in public rail transport. Ph.D. Thesis, University of Technology, Braunschweig
  • 14
    • 27844497911 scopus 로고    scopus 로고
    • Cost optimal periodic train scheduling
    • T Lindner UT Zimmermann 2005 Cost optimal periodic train scheduling Math Methods Oper Res 62 281 295 10.1007/s00186-005-0001-0 Lindner T, Zimmermann UT (2005) Cost optimal periodic train scheduling. Math Methods Oper Res 62:281–295
    • (2005) Math Methods Oper Res , vol.62 , pp. 281-295
    • Lindner, T1    Zimmermann, UT2
  • 15
    • 0030412990 scopus 로고    scopus 로고
    • A constraint generation algorithm for the construction of periodic railway timetables
    • M Odijk 1996 A constraint generation algorithm for the construction of periodic railway timetables Transp Res 30 455 464 10.1016/0191-2615(96)00005-7 Odijk M (1996) A constraint generation algorithm for the construction of periodic railway timetables. Transp Res 30:455–464
    • (1996) Transp Res , vol.30 , pp. 455-464
    • Odijk, M1
  • 16
    • 85121077313 scopus 로고    scopus 로고
    • E. Oliveira and B.M. Smith, “A Job-Shop Scheduling Model for the Single-Track Railway Scheduling Problem ”, Technical Report 2000.21, School of Computing Research Report, University of Leeds, 2000.
  • 17
    • 85121083775 scopus 로고    scopus 로고
    • Peeters LWP (2003) Cyclic railway timetable optimization. Ph.D. Thesis, Erasmus Research Institute of Management, Erasmus University, Rotterdam
  • 18
    • 85121062507 scopus 로고    scopus 로고
    • LWP Peeters LG Kroon 2001 A cycle based optimization model for the cyclic railway timetabling problem J Daduna S Voss Computer-aided transit scheduling, lecture notes in economics and mathematical systems, vol 505 Springer Berlin 275 296 Peeters LWP, Kroon LG (2001) A cycle based optimization model for the cyclic railway timetabling problem. In: Daduna J, Voss S (eds) Computer-aided transit scheduling, lecture notes in economics and mathematical systems, vol 505. Springer, Berlin, pp 275–296
  • 19
    • 0008917539 scopus 로고
    • A mathematical model for periodic event scheduling problems
    • P Serafini W Ukovich 1989 A mathematical model for periodic event scheduling problems SIAM J Disc Math 2 550 581 10.1137/0402049 Serafini P, Ukovich W (1989) A mathematical model for periodic event scheduling problems. SIAM J Disc Math 2:550–581
    • (1989) SIAM J Disc Math , vol.2 , pp. 550-581
    • Serafini, P1    Ukovich, W2
  • 20
    • 85121082096 scopus 로고    scopus 로고
    • Schrijver A, Steenbeek A (1994) Timetable construction for railned. Technical Report, CWI, Amsterdam (in Dutch)
  • 21
    • 85121072860 scopus 로고    scopus 로고
    • B Szpigel 1973 Optimal train scheduling on a single track railway M Ross OR’72 North-Holland Amsterdam 343 351 Szpigel B (1973) Optimal train scheduling on a single track railway. In: Ross M (ed) OR’72. North-Holland, Amsterdam, pp 343–351


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.