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Optimizing Train Network Routing Using Deterministic Search

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Abstract

In this paper, we use walk search strategy to solve the optimization problem of train routing on railway network. The proposed approach is a local search algorithm which explores the railway network by walker’s navigating through the network. Using some selection rules, walker can dynamically determine the optimal route of trains. In order to analyze and evaluate the proposed approach, we present two computational studies in which the search algorithm is tested on a part of railway network. The results demonstrate that the proposed approach is an effective tool for optimizing the train routing problem on railway network. Moreover, it can be executed with shorter computation time.

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References

  • Adamic LA, Lukose RM, Puniyani AR, Huberman BA (2001) Search in power-law networks. Phys Rev E 64(4):046135, Sept

    Article  Google Scholar 

  • Assad AA (1980) Modelling of rail networks: toward a routing/makeup model. Transp Res Part B 14(1–2):101–114, March–June

    Article  Google Scholar 

  • Blum J, Eskandarian A (2002) Enhancing intelligent agent collaboration for flow optimization of railroad traffic. Transp Res Part A 36(10):919–930, Dec

    Article  Google Scholar 

  • Bussieck MR, Winter T, Zimmermann UT (1997) Discrete optimization in public rail transport. Math Program 79(1–3):415C444, Oct

    Google Scholar 

  • Carey M, Carville S (2003) Scheduling and plat forming trains at busy complex stations. Transp Res Part A 37(3):195–224, March

    Google Scholar 

  • Carey M, Lockwood D (1995) A model, algorithms and strategy for train pathing. J Oper Res Soc 46(8):988–1005, Aug

    Google Scholar 

  • Daamen W, Goverde RMP, Hansen IA (2009) Non-discriminatory automatic registration of knock-on train delays. Netw Spatial Econ. doi:10.1007/s11067-008-9087-2

  • Dijkstra EW (1959) A note on two problems in connexion with graphs. Numerische Matematik 1(1):269–271, Dec

    Article  Google Scholar 

  • Eppstein D (1998) Finding the k shortest paths. SIAM J Comput 28(2):652–673

    Article  Google Scholar 

  • Ghoseiri K, Szidarovszky F, Asgharpour MJ (2004) A multi-objective train scheduling model and solution. Transp Res Part B 38(10):927–952, Dec

    Article  Google Scholar 

  • Gorman MF (1998a) An application of genetic and tabu searches to the freight railroad operating plan problem. Ann Oper Res 78(1):51–69, Jan

    Article  Google Scholar 

  • Gorman MF (1998b) Santa Fe Railway uses an operating-plan model to improve its service design. Interfaces 28(4):1–12, Apr

    Article  Google Scholar 

  • Guimerà R, Díaz Guilera A, Vega-Redondo F, Cabrales A, Arenas A (2002) Optimal network topologies for local search with congestion. Phys Rev Lett 89(24), 248701, Dec

    Article  Google Scholar 

  • Haghani AE (1989) Formulation and solution of a combined train routing and makeup, and empty car distribution model. Transp Res B 23B(6):433–452, Dec

    Article  Google Scholar 

  • Jespersen S, Sokolov IM, Blumen A (2000) Relaxation properties of small-world networks. Phys Rev E 62(3):4405–4408, Sept

    Article  Google Scholar 

  • Jovanovic D, Harker PT (1991) Tactical scheduling of rail operations: the SCAN I system. Trans Sci 25(1):46–64, Sept

    Article  Google Scholar 

  • Keaton MH (1989) Designing optimal railroad operating plans: Lagrangian relaxation and heuristic approaches. Transp Res B 23(6):415–431, Dec

    Article  Google Scholar 

  • Kleinberg JM (2000) Navigation in a small world. Nature 406(6798):845–847, Aug

    Article  Google Scholar 

  • Lozano ER, Macias ER, Laita LM (2002) A computer algebra approach to the design of routes and the study of their compatibility in a railway interlocking. Math Comput Simul 58(3):203–214, Feb

    Article  Google Scholar 

  • Martinelli DR, Teng H (1996) Optimization of railway operations using neural net-works. Transp Res Part C 4(1):33–49, Feb

    Article  Google Scholar 

  • O’Kelly ME (2009) Routing traffic at hub facilities. Netw Spatial Econ. doi:10.1007/s11067-008-9061-z

  • Petersen ER, Taylor AJ, Martland CD (1986) An introduction to computer assisted train dispatch. J Adv Trans 20(1):63–72

    Article  Google Scholar 

  • Rodriguez J (2007) A constraint programming model for real-time train scheduling at junctions. Transp Res Part B 41(2):231–245, Feb

    Article  Google Scholar 

  • Spitzer F (1976) Principles of random walk. Springer, New York

    Google Scholar 

  • Szpigel B (1972) Optimal train scheduling on a single-track railway. In: Ross M (ed) Operational Research ’72, OR’72. North-Holland, Amsterdam, pp 343–351

    Google Scholar 

  • Watts DJ, Dodds PS, Newman ME (2002) Identity and search in social networks. Science 296(5571):1302–1305, May

    Article  Google Scholar 

  • Zhang PC, Peeta S, Friesz T (2005) Dynamic game theoretic model of multi-Layer infrastructure networks. Netw Spatial Econ 5(2):147–178

    Article  Google Scholar 

  • Zwaneveld P, Kroon JL, Romeijn HE, Salomon M, et al (1996) Routing trains through railway stations: model formulation and algorithms. Trans Science 30(3):181–194

    Article  Google Scholar 

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Correspondence to KePing Li.

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The project is supported by National Natural Science Foundation of China under Grant Nos 60634010 and 60776829, New Century Excellent Talents in University under Grant No NCET-06-0074 and the Key Project of Chinese Ministry of Education under Grant No 107007.

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Li, K., Gao, Z., Mao, B. et al. Optimizing Train Network Routing Using Deterministic Search. Netw Spat Econ 11, 193–205 (2011). https://doi.org/10.1007/s11067-009-9098-7

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