IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v35y2001i3p271-292.html
   My bibliography  Save this article

Running times on railway sections with heterogeneous train traffic

Author

Listed:
  • Huisman, Tijs
  • Boucherie, Richard J.

Abstract

In contemporary railway traffic, different train services often run on the same track of a railway section. Since these train services generally travel at different speed, this may result in delays due to fast trains being caught behind slower ones. This note investigates these delays developing a stochastic model capturing both scheduled and unscheduled train movements. Running time distributions for each train service can be obtained solving a system of linear differential equations. This system can be solved explicitly when free running times for all train services are deterministic. The mathematical model falls in the class of infinite server resequencing queues, and the results generalise existing results for such queues, allowing dependence between consecutive interarrival times, as well as between interarrival times and service times. A case study of a railway section in the Dutch railway network illustrates the practical value of the model, both for long and short term railway planning.

Suggested Citation

  • Huisman, Tijs & Boucherie, Richard J., 2001. "Running times on railway sections with heterogeneous train traffic," Transportation Research Part B: Methodological, Elsevier, vol. 35(3), pages 271-292, March.
  • Handle: RePEc:eee:transb:v:35:y:2001:i:3:p:271-292
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191-2615(99)00051-X
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kockelman, Kara M., 1998. "A Utility-Theory-Consistent System-of-Demand-Equations Approach to Household Travel Choice," University of California Transportation Center, Working Papers qt3h67j2p2, University of California Transportation Center.
    2. Deaton, Angus, 1987. "Estimation of own- and cross-price elasticities from household survey data," Journal of Econometrics, Elsevier, pages 7-30.
    3. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, pages 422-432.
    4. D Damm & S R Lerman, 1981. "A Theory of Activity Scheduling Behavior," Environment and Planning A, , pages 703-718.
    5. Pollak, Robert A & Wales, Terence J, 1980. "Comparison of the Quadratic Expenditure System and Translog Demand Systems with Alternative Specifications of Demographic Effects," Econometrica, Econometric Society, vol. 48(3), pages 595-612, April.
    6. Golob, Thomas F. & McNally, Michael G., 1997. "A model of activity participation and travel interactions between household heads," Transportation Research Part B: Methodological, Elsevier, pages 177-194.
    7. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, pages 367-383.
    8. Bhat, Chandra R., 1998. "Accommodating flexible substitution patterns in multi-dimensional choice modeling: formulation and application to travel mode and departure time choice," Transportation Research Part B: Methodological, Elsevier, pages 455-466.
    9. Kockelman, Kara Maria, 1998. "A Utility-Theory-Consistem System-of-Demand-Equations Approach to Household Travel Choice," University of California Transportation Center, Working Papers qt06x0k5r4, University of California Transportation Center.
    10. D Damm & S R Lerman, 1981. "A theory of activity scheduling behavior," Environment and Planning A, Pion Ltd, London, vol. 13(6), pages 703-718, June.
    11. Kitamura, Ryuichi, 1984. "A model of daily time allocation to discretionary out-of-home activities and trips," Transportation Research Part B: Methodological, Elsevier, pages 255-266.
    12. Recker, W. W., 1995. "The household activity pattern problem: General formulation and solution," Transportation Research Part B: Methodological, Elsevier, pages 61-77.
    13. Golob, Thomas F. & Beckmann, Martin J. & Zahavi, Yacov, 1981. "A utility-theory travel demand model incorporating travel budgets," Transportation Research Part B: Methodological, Elsevier, pages 375-389.
    14. Lau, Lawrence J., 1986. "Functional forms in econometric model building," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 26, pages 1515-1566 Elsevier.
    15. Pollak, Robert A & Wales, Terence J, 1978. "Estimation of Complete Demand Systems from Household Budget Data: The Linear and Quadratic Expenditure Systems," American Economic Review, American Economic Association, pages 348-359.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huisman, Tijs & Boucherie, Richard J. & van Dijk, Nico M., 2002. "A solvable queueing network model for railway networks and its validation and applications for the Netherlands," European Journal of Operational Research, Elsevier, vol. 142(1), pages 30-51, October.
    2. Leachman, Robert C. & Jula, Payman, 2012. "Estimating flow times for containerized imports from Asia to the United States through the Western rail network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, pages 296-309.
    3. Vromans, Michiel J.C.M. & Dekker, Rommert & Kroon, Leo G., 2006. "Reliability and heterogeneity of railway services," European Journal of Operational Research, Elsevier, vol. 172(2), pages 647-665, July.
    4. Zhang, Jiamin, 2015. "Analysis on line capacity usage for China high speed railway with optimization approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 336-349.
    5. Kroon, Leo & Maróti, Gábor & Helmrich, Mathijn Retel & Vromans, Michiel & Dekker, Rommert, 2008. "Stochastic improvement of cyclic railway timetables," Transportation Research Part B: Methodological, Elsevier, pages 553-570.
    6. de Kort, A. F. & Heidergott, B. & Ayhan, H., 2003. "A probabilistic (max, +) approach for determining railway infrastructure capacity," European Journal of Operational Research, Elsevier, vol. 148(3), pages 644-661, August.
    7. Fumasoli, Tobias & Bruckmann, Dirk & Weidmann, Ulrich, 2015. "Operation of freight railways in densely used mixed traffic networks – An impact model to quantify changes in freight train characteristics," Research in Transportation Economics, Elsevier, vol. 54(C), pages 15-19.
    8. Krier, Betty & Liu, Chia-Mei & McNamara, Brian & Sharpe, Jerrod, 2014. "Individual freight effects, capacity utilization, and Amtrak service quality," Transportation Research Part A: Policy and Practice, Elsevier, vol. 64(C), pages 163-175.
    9. Mu, Shi & Dessouky, Maged, 2013. "Efficient dispatching rules on double tracks with heterogeneous train traffic," Transportation Research Part B: Methodological, Elsevier, pages 45-64.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transb:v:35:y:2001:i:3:p:271-292. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.