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Estimating collision probabilities for trains on railroad stations based on a Poisson model

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Abstract

We consider the problem of estimating the probability of collision between shunting trains and passenger trains on a railroad station. We assume that the flow of shunting trains is Poisson for every turnout switch on which side collisions are possible. The data for computations include the station’s topology, timetable of passenger trains, and possible routes of their passing through the station together with the intensities of shunting trains moving through nonisolated turnout switches where collisions are possible, and also mean values of train lengths and their velocities. The proposed mathematical model of train motion can be regarded as a first approximation in modeling the collision process for trains on a railroad station. We also consider a real life example.

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References

  1. Governmental standard GOST R 54505-2011. Bezopasnost’ funktsional’naya. Upravlenie riskami na zheleznodorozhnom transporte (Functional Safety. Risk Management on Railroad Transport), Moscow: Standartinform, 2012.

  2. Lin, Chen-Yu and Rapik Saat, M., Semi-Quantitative Risk Assessment of Adjacent Track Aaccidents on Shared-Use Rail Corridors, Proc. 2014 Joint Rail Conf. JRC2014, Colorado Springs, 2014, pp. V001T06A007.

    Google Scholar 

  3. Oh, J., Washington, S.P., and Nam, D., Accident Prediction Model for Railway–Highway Interfaces, Accident Anal. Prevent., 2006, vol. 38, no. 2, pp. 346–356.

    Article  Google Scholar 

  4. Saccomanno, F.F., Park, P.Y.-J., and Fu, L., Estimating Countermeasure Effects for Reducing Collisions at Highway–Railway Grade Crossings, Accident Anal. Prevent., 2007, vol. 39, no. 2, pp. 406–416.

    Article  Google Scholar 

  5. Andrienko, A.Ya. and Portnov-Sokolov, Yu.P., Risk Assessment in Ensuring Safety for Complex Technical Systems, Pribory Sist. Upravlen., 1996, no. 12, pp. 11–14.

  6. Henley, E.J. and Kumamoto, H., Reliability Engineering and Risk Assessment, Englewood Cliffs: Prentice-Hall, 1981. Translated under the title Nadezhnost’ tekhnicheskikh sistem i otsenka riska, Moscow: Mashinostroenie, 1984.

    Google Scholar 

  7. Ryabinin, I.A., The Paradigm of a Logic–Probabilistic Theory of Reliability, Pribory Sist. Upravlen., 1993, no. 10, pp. 17–21.

    Google Scholar 

  8. Radaev, N.N., An Increase in the Accuracy of Prediction of Disasters by Accounting for Inhomogeneous Data on a Damage, Autom. Remote Control, 2000, vol. 61, no. 3, pp. 530–536.

    MATH  Google Scholar 

  9. Makhutov, N.A., Gadenin, M.M., Chernyavskii, A.O., and Shatov, M.M., Analysis of Fault Risks in the Operation of Potentially Hazardous Objects, Probl. Analiza Riska, 2012, vol. 9, no. 3, pp. 8–20.

    Google Scholar 

  10. Larson, R.S. and Kamien, D., Decision Models for Emergency Response Planning, in The McGraw-Hill Handbook of Homeland Security, New York: McGraw-Hill, 2004.

    Google Scholar 

  11. Ostreikovskii, V.A. and Shvyryaev, Yu.V., Bezopasnost’ atomnykh stantsii: veroyatnostnyi analiz (Safety of Nuclear Plants: A Probabilistic Analysis), Moscow: Fizmatlit, 2008.

    Google Scholar 

  12. Katsman, M.D., Myronenko, V.K., and Adamenko, N.I., Probabilistic Model of Ecological Consequences of Railroad Accidents, Reliabil. Theory Appl., 2013, vol. 8, no. 1 (28), pp. 72–85.

    Google Scholar 

  13. Kolowrocki, K. and Soszynska-Budny, J., Reliability and Safety of Complex Technical Systems and Processes, London: Springer-Verlag, 2011.

    Book  MATH  Google Scholar 

  14. Zamyshlyaev, A.M., Ignatov, A.N., Kan, Yu.S., et al., Estimating Risks Related to Going Through a Red Traffic Light by a Shunting Train or a Passenger Train, Nadezhnost’, 2016, no. 3, pp. 39–46.

    Google Scholar 

  15. Shubinskii, I.B., Funktsional’naya nadezhnost’ informatsionnykh sistem. Metody analiza (Functional Reliability of Information Systems. Methods of Analysis), Ul’yanovsk: Pechatnyi Dvor, 2012.

    Google Scholar 

  16. Zhulev, V.I. and Ivanov, V.S., Bezopasnost’ poletov letatel’nykh apparatov (Flight Safety for Flying Vehicles), Moscow: Transport, 1986.

    Google Scholar 

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Authors and Affiliations

  1. Moscow Aviation Institute, Moscow, Russia

    A. N. Ignatov, A. I. Kibzun & E. N. Platonov

Authors
  1. A. N. Ignatov
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  2. A. I. Kibzun
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  3. E. N. Platonov
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Corresponding author

Correspondence to A. N. Ignatov.

Additional information

Original Russian Text © A.N. Ignatov, A.I. Kibzun, E.N. Platonov, 2016, published in Avtomatika i Telemekhanika, 2016, No. 11, pp. 43–59.

This paper was recommended for publication by A.A. Lazarev, a member of the Editorial Board

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Ignatov, A.N., Kibzun, A.I. & Platonov, E.N. Estimating collision probabilities for trains on railroad stations based on a Poisson model. Autom Remote Control 77, 1914–1927 (2016). https://doi.org/10.1134/S0005117916110035

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  • DOI: https://doi.org/10.1134/S0005117916110035

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