메뉴 건너뛰기




Volumn 13, Issue 1, 2012, Pages 307-317

Robust train timetabling problem: Mathematical model and branch and bound algorithm

Author keywords

Branch and bound (B B) algorithm; disturbance; robustness; train scheduling

Indexed keywords

BEAM SEARCH; BRANCH AND BOUNDS; BRANCH-AND-BOUND ALGORITHMS; DISTURBANCE; LARGE-SCALE PROBLEM; LOWER BOUND METHOD; MIXED INTEGER; OPTIMUM SOLUTION; RAILWAY LINE; RANDOM INSTANCE; TRAIN SCHEDULING; TRAIN TIMETABLING PROBLEM;

EID: 84857788279     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2011.2169961     Document Type: Article
Times cited : (74)

References (34)
  • 1
    • 33845274298 scopus 로고    scopus 로고
    • Single-track train timetabling with guaranteed optimality: Branch-and-bound algorithms with enhanced lower bounds
    • DOI 10.1016/j.trb.2006.05.003, PII S0191261506000737
    • X. Zhou and M. Zhong, "Single-track train timetabling with guaranteed optimality: Branch-and-bound algorithms with enhanced lower bounds," Transp. Res. B, vol. 41, no. 3, pp. 320-341, Mar. 2007. (Pubitemid 44858114)
    • (2007) Transportation Research Part B: Methodological , vol.41 , Issue.3 , pp. 320-341
    • Zhou, X.1    Zhong, M.2
  • 2
    • 10644237939 scopus 로고    scopus 로고
    • Simultaneous disturbance recovery of a train timetable and crew roster in real time
    • Aug.
    • C. G.Walker, J. N. Snowdon, and D.M. Ryan, "Simultaneous disturbance recovery of a train timetable and crew roster in real time," Comput. Oper. Res., vol. 32, no. 8, pp. 2077-2094, Aug. 2005.
    • (2005) Comput. Oper. Res. , vol.32 , Issue.8 , pp. 2077-2094
    • Walker, C.G.1    Snowdon, J.N.2    Ryan, D.M.3
  • 3
    • 13544267417 scopus 로고    scopus 로고
    • Bicriteria train scheduling for high-speed passenger railroad planning applications
    • DOI 10.1016/j.ejor.2004.07.019, PII S037722170400476X, Multicriteria Scheduling
    • X. Zhou and M. Zhong, "Bicriteria train scheduling for high-speed passenger railroad planning applications," Eur. J. Oper. Res., vol. 167, no. 3, pp. 752-771, Dec. 2005. (Pubitemid 40220089)
    • (2005) European Journal of Operational Research , vol.167 , Issue.3 , pp. 752-771
    • Zhou, X.1    Zhong, M.2
  • 4
    • 34249982545 scopus 로고    scopus 로고
    • A branch and bound algorithm for scheduling trains in a railway network
    • DOI 10.1016/j.ejor.2006.10.034, PII S0377221706010678
    • A. D'Ariano, D. Pacciarelli, and M. Pranzo, "A branch and bound algorithm for scheduling trains in a railway network," Eur. J. Oper. Res., vol. 183, no. 2, pp. 643-657, Dec. 2007. (Pubitemid 46891151)
    • (2007) European Journal of Operational Research , vol.183 , Issue.2 , pp. 643-657
    • D'Ariano, A.1    Pacciarelli, D.2    Pranzo, M.3
  • 5
    • 33644594453 scopus 로고    scopus 로고
    • A Lagrangian heuristic algorithm for a real-world train timetabling problem
    • Apr.
    • A. Caprara, M. Monaci, P. Toth, and P. L. Guida, "A Lagrangian heuristic algorithm for a real-world train timetabling problem," Discrete Appl. Math., vol. 154, no. 5, pp. 738-753, Apr. 2006.
    • (2006) Discrete Appl. Math. , vol.154 , Issue.5 , pp. 738-753
    • Caprara, A.1    Monaci, M.2    Toth, P.3    Guida, P.L.4
  • 6
    • 43949092779 scopus 로고    scopus 로고
    • A column generation approach to train timetabling on a corridor
    • Jun.
    • V. Cacchiani, A. Caprara, and P. Toth, "A column generation approach to train timetabling on a corridor," 4OR, vol. 6, no. 2, pp. 125-142, Jun. 2008.
    • (2008) 4OR , vol.6 , Issue.2 , pp. 125-142
    • Cacchiani, V.1    Caprara, A.2    Toth, P.3
  • 8
    • 70449640336 scopus 로고    scopus 로고
    • Fast approaches to improve the robustness of a railway timetable
    • Aug.
    • M. Fischetti, D. Salvagnin, and A. Zanette, "Fast approaches to improve the robustness of a railway timetable," Transp. Sci., vol. 43, no. 3, pp. 321-335, Aug. 2009.
    • (2009) Transp. Sci. , vol.43 , Issue.3 , pp. 321-335
    • Fischetti, M.1    Salvagnin, D.2    Zanette, A.3
  • 9
    • 33644679955 scopus 로고    scopus 로고
    • Reliability and heterogeneity of railway services
    • DOI 10.1016/j.ejor.2004.10.010, PII S0377221704008100
    • M. J. C. M. Vromans, R. Dekker, and L. G. Kroon, "Reliability and heterogeneity of railway services," Eur. J. Oper. Res., vol. 172, no. 2, pp. 647-665, Jul. 2006. (Pubitemid 43332995)
    • (2006) European Journal of Operational Research , vol.172 , Issue.2 , pp. 647-665
    • Vromans, M.J.C.M.1    Dekker, R.2    Kroon, L.G.3
  • 10
    • 0032885173 scopus 로고    scopus 로고
    • Ex ante heuristic measures of schedule reliability
    • DOI 10.1016/S0191-2615(99)00002-8, PII S0191261599000028
    • M. Carey, "Ex ante heuristic measures of schedule reliability," Transp. Res. B, vol. 33, no. 7, pp. 473-494, Sep. 1999. (Pubitemid 29424945)
    • (1999) Transportation Research Part B: Methodological , vol.33 , Issue.7 , pp. 473-494
    • Carey, M.1
  • 11
    • 33646079626 scopus 로고    scopus 로고
    • Developing railway timetables which guarantee a better service
    • Aug.
    • P. Vansteenwegen and D. V. Oudheusden, "Developing railway timetables which guarantee a better service," Eur. J. Oper. Res., vol. 173, no. 1, pp. 337-350, Aug. 2006.
    • (2006) Eur. J. Oper. Res. , vol.173 , Issue.1 , pp. 337-350
    • Vansteenwegen, P.1    Oudheusden, D.V.2
  • 12
    • 77649271726 scopus 로고    scopus 로고
    • Stochastic optimization model and solution algorithm for robust double-track train timetabling problem
    • Mar.
    • M. B. Khan and X. Zhou, "Stochastic optimization model and solution algorithm for robust double-track train timetabling problem," IEEE Trans. Intell. Transp. Syst., vol. 11, no. 1, pp. 81-89, Mar. 2010.
    • (2010) IEEE Trans. Intell. Transp. Syst. , vol.11 , Issue.1 , pp. 81-89
    • Khan, M.B.1    Zhou, X.2
  • 13
    • 70349864211 scopus 로고    scopus 로고
    • Delay resistant timetabling
    • May
    • C. Liebchen and S. Stiller, "Delay resistant timetabling," Public Transp., vol. 1, no. 1, pp. 55-72, May 2009.
    • (2009) Public Transp. , vol.1 , Issue.1 , pp. 55-72
    • Liebchen, C.1    Stiller, S.2
  • 18
    • 77949903477 scopus 로고    scopus 로고
    • Innovative decision support system for railway traffic control
    • Winter
    • A. D'Ariano, "Innovative decision support system for railway traffic control," IEEE Intell. Transp. Syst. Mag., vol. 1, no. 4, pp. 8-16,Winter 2009.
    • (2009) IEEE Intell. Transp. Syst. Mag. , vol.1 , Issue.4 , pp. 8-16
    • D'Ariano, A.1
  • 21
    • 34249889301 scopus 로고    scopus 로고
    • Conflict resolution and train speed coordination for solving real-time timetable perturbations
    • DOI 10.1109/TITS.2006.888605
    • A. D'Ariano, M. Pranzo, and I. Hansen, "Conflict resolution and train speed coordination solving real-time timetable perturbations," IEEE Trans. Intell. Transp. Syst., vol. 8, no. 2, pp. 208-222, Jun. 2007. (Pubitemid 46873203)
    • (2007) IEEE Transactions on Intelligent Transportation Systems , vol.8 , Issue.2 , pp. 208-222
    • D'Ariano, A.1    Pranzo, M.2    Hansen, I.A.3
  • 23
    • 70350655433 scopus 로고    scopus 로고
    • Recoverable robust timetables on trees
    • Lecture Notes in Computer Science
    • G. D'Angelo, G. Di Stefano, A. Navarra, and C. M. Pinotti, "Recoverable robust timetables on trees," in Proc. 3rd Int. COCOA, vol. 5573, Lecture Notes in Computer Science, 2009, pp. 451-462.
    • (2009) Proc. 3rd Int. COCOA , vol.5573 , pp. 451-462
    • D'Angelo, G.1    Di Stefano, G.2    Navarra, A.3    Pinotti, C.M.4
  • 24
    • 0010680207 scopus 로고
    • Convex programming with set-inclusive constraints and applications to inexact linear programming
    • Oct.
    • A. L. Soyster, "Convex programming with set-inclusive constraints and applications to inexact linear programming," Oper. Res., vol. 21, no. 5, pp. 1154-1157, Oct. 1973.
    • (1973) Oper. Res. , vol.21 , Issue.5 , pp. 1154-1157
    • Soyster, A.L.1
  • 26
    • 0032664938 scopus 로고    scopus 로고
    • Robust solutions to uncertain linear programs
    • Aug.
    • A. Ben-Tal and A. Nemirovski, "Robust solutions to uncertain linear programs," Oper. Res. Lett., vol. 25, no. 1, pp. 1-13, Aug. 1999.
    • (1999) Oper. Res. Lett. , vol.25 , Issue.1 , pp. 1-13
    • Ben-Tal, A.1    Nemirovski, A.2
  • 27
    • 0442266090 scopus 로고    scopus 로고
    • Robust solutions of linear programming problems contaminated with uncertain data
    • Sep.
    • A. Ben-Tal and A. Nemirovski, "Robust solutions of linear programming problems contaminated with uncertain data," Math. Program, vol. A-88, no. 3, pp. 411-424, Sep. 2000.
    • (2000) Math. Program , vol.A-88 , Issue.3 , pp. 411-424
    • Ben-Tal, A.1    Nemirovski, A.2
  • 28
    • 0031536271 scopus 로고    scopus 로고
    • Robust solutions to least-square problems with uncertain data matrices
    • L. El-Ghaoui and H. Lebret, "Robust solutions to least-square problems with uncertain data matrices," SIAM J. Matrix Anal. Appl., vol. 18, no. 4, pp. 1035-1064, 1997.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , Issue.4 , pp. 1035-1064
    • El-Ghaoui, L.1    Lebret, H.2
  • 29
    • 0032252302 scopus 로고    scopus 로고
    • Robust solutions to uncertain semidefinite programs
    • L. El-Ghaoui, F. Oustry, and H. Lebret, "Robust solutions to uncertain semidefinite programs," SIAM J. Optim., vol. 9, no. 1, pp. 33-52, 1998.
    • (1998) SIAM J. Optim. , vol.9 , Issue.1 , pp. 33-52
    • L. El-Ghaoui1    Oustry, F.2    Lebret, H.3
  • 30
    • 3042762207 scopus 로고    scopus 로고
    • The price of robustness
    • DOI 10.1287/opre.1030.0065
    • D. Bertsimas and M. Sim, "The price of robustness," Oper. Res., vol. 52, no. 1, pp. 35-53, Jan. 2004. (Pubitemid 40000812)
    • (2004) Operations Research , vol.52 , Issue.1 , pp. 35-53
    • Bertsimas, D.1    Sim, M.2
  • 32
    • 81155138521 scopus 로고    scopus 로고
    • A new mathematical model for the job shop scheduling problem with uncertain processing times
    • M. A. Shafia, A. Jamili, and M. P. Aghaee, "A new mathematical model for the job shop scheduling problem with uncertain processing times," Int. J. Ind. Eng. Comput., vol. 2, no. 2, pp. 295-306, 2011.
    • (2011) Int. J. Ind. Eng. Comput. , vol.2 , Issue.2 , pp. 295-306
    • Shafia, M.A.1    Jamili, A.2    Aghaee, M.P.3
  • 33
    • 77649271775 scopus 로고    scopus 로고
    • The reliability of travel time forecasting
    • Mar.
    • M. Yang, Y. Liu, and Z. You, "The reliability of travel time forecasting," IEEE Trans. Intell. Transp. Syst., vol. 11, no. 1, pp. 162-171, Mar. 2010.
    • (2010) IEEE Trans. Intell. Transp. Syst. , vol.11 , Issue.1 , pp. 162-171
    • Yang, M.1    Liu, Y.2    You, Z.3
  • 34
    • 0036759198 scopus 로고    scopus 로고
    • Modeling and solving the train timetabling problem
    • Sep./Oct.
    • A. Caprara, M. Fischetti, and P. Toth, "Modeling and solving the train timetabling problem," Oper. Res., vol. 50, no. 5, pp. 851-861, Sep./Oct. 2002.
    • (2002) Oper. Res. , vol.50 , Issue.5 , pp. 851-861
    • Caprara, A.1    Fischetti, M.2    Toth, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.