Skip to main content
Log in

Stochastic optimization model of locomotive assignment to freight trains

  • Topical Issue
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Consideration was given to the optimization model of assigning the locomotives to the freight trains. The model was formulated in terms of a dynamic problem of stochastic programming with probabilistic constraints. The state variables characterize positions of the locomotives and trains at each time instant. The variables defining the motion of locomotives and their assignment to trains at each time instant play the role of controls. The expectation of the total freight traffic is the criterial function of the problem. A two-stage hybrid algorithm to solve the problem was developed. It combines the coordinatewise search and a genetic algorithm. Results of the numerical experiment were given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gapanovich, V.A., Epifantsev, S.N., and Ovseichuk, V.A., in Ekonomicheskaya strategiya i elektrifikatsiya rossiiskikh zheleznykh dorog (Economic Strategy and Electrification of the Russian Railways), Kutovoi, G.P., Ed., Moscow: Eko-Press, 2012.

  2. Zhakov, V.V., Upravlenie konkurentosposobnost’yu perevozok gruzov v konteinerakh na osnove protsessnogo podkhoda (Control of Competitiveness of Container Freight Traffic on the Basis of the Process Approach), Moscow: MGUPS (MIIT), 2014.

    Google Scholar 

  3. Naizabaeva, L., Development of Models and Methods of the Logistic System in Railway Traffic Control, Doctoral Eng. Dissertation, Almaty, 2010.

    Google Scholar 

  4. Belyi, O.V. and Kokurin, I.M., Organization of Railway Freight Transportation: Path of Optimization, Transport Ross. Fed., 2011, no. 4(35), pp. 28–30.

    Google Scholar 

  5. Shapkin, I.N., Organizatsiya zheleznodorozhnykh perevozok na osnove informatsionnykh tekhnologii (Organization of Railway Transport on the Basis of Information Technologies), Moscow: FGBOU “Educational and Methodological Center for Training at Railway Transport,” 2011.

    Google Scholar 

  6. Cacchiani, V., Galli, L., and Toth, P., A Tutorial on Non-periodic Train Timetabling and Platforming Problems, EURO J. Transport. Logist., 2015, vol. 4, no. 3, pp. 285–320.

    Article  Google Scholar 

  7. Lazarev, A.A. and Musatova, E.G., The Problem of Trains Making and Scheduling: Integer Statements, Autom. Remote Control, 2013, vol. 74, no. 12, pp. 2064–2068.

    Article  MathSciNet  MATH  Google Scholar 

  8. Lazarev, A.A., Musatova, E.G., Gafarov, E.R., and Kvaratskheliya, A.G., Teoriya raspisanii. Zadachi zheleznodorozhnogo planirovaniya (Scheduling Theory. Problems of Railway Planning), Moscow: IPU RAN, 2012.

    Google Scholar 

  9. Kibzun, A., Naumov, A., and Ivanov, S., Bilevel Optimization Problem for Railway Transport Hub Planning, Upravlen. Bol’shimi Sist., 2012, vol. 38, pp. 140–160.

    Google Scholar 

  10. Birge, J. and Louveaux, F., Introduction to Stochastic Programming, New York: Springer, 1997.

    MATH  Google Scholar 

  11. Kan, Yu.S., Kibzun, A.I., and Ivanov, S.V., Optimization Model for Locomotive Assignment to Fright Trains, in Proc. Third Int. Conf. “Intelligent Railway Control Systems. Computer-aided and Mathematical Modeling” (ISUZHT-2014), November 18, 2014, Moscow: OAO “NIIAS,” 2014, pp. 54–57.

    Google Scholar 

  12. Burakov, M.V., Geneticheskii algoritm: teoriya i praktika: uch. pos (Genetic Algorithm: Textbook of Theory and Practice), St. Petersburg: GUAP, 2008.

    Google Scholar 

  13. Aarts, E. and Lenstra, J.K., Local Search in Combinatorial Optimization, New York: Wiley, 1997.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. Ivanov.

Additional information

Original Russian Text © S.V. Ivanov, A.I. Kibzun, A.V. Osokin, 2016, published in Avtomatika i Telemekhanika, 2016, No. 11, pp. 80–95.

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ivanov, S.V., Kibzun, A.I. & Osokin, A.V. Stochastic optimization model of locomotive assignment to freight trains. Autom Remote Control 77, 1944–1956 (2016). https://doi.org/10.1134/S0005117916110059

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117916110059

Navigation