IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v21y2010i05ns0129183110015397.html
   My bibliography  Save this article

Perturbation And Stability Analysis Of The Multi-Anticipative Intelligent Driver Model

Author

Listed:
  • XI-QUN CHEN

    (Department of Civil Engineering, Tsinghua University, Beijing 100084, China)

  • WEI-JUN XIE

    (Department of Civil Engineering, Tsinghua University, Beijing 100084, China)

  • JING SHI

    (Department of Civil Engineering, Tsinghua University, Beijing 100084, China)

  • QI-XIN SHI

    (Department of Civil Engineering, Tsinghua University, Beijing 100084, China)

Abstract

This paper discusses three kinds of IDM car-following models that consider both the multi-anticipative behaviors and the reaction delays of drivers. Here, the multi-anticipation comes from two ways:(1) the driver is capable of evaluating the dynamics of several preceding vehicles, and(2) the autonomous vehicles can obtain the velocity and distance information of several preceding vehicles via inter-vehicle communications.In this paper, we study the stability of homogeneous traffic flow. The linear stability analysis indicates that the stable region will generally be enlarged by the multi-anticipative behaviors and reduced by the reaction delays. The temporal amplification and the spatial divergence of velocities for local perturbation are also studied, where the results further prove this conclusion. Simulation results also show that the multi-anticipative behaviors near the bottleneck will lead to a quicker backwards propagation of oscillations.

Suggested Citation

  • Xi-Qun Chen & Wei-Jun Xie & Jing Shi & Qi-Xin Shi, 2010. "Perturbation And Stability Analysis Of The Multi-Anticipative Intelligent Driver Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(05), pages 647-668.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:05:n:s0129183110015397
    DOI: 10.1142/S0129183110015397
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183110015397
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183110015397?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Barrett, Alan & Kearney, Ide & O'Brien, Martin, 2007. "Quarterly Economic Commentary, Autumn 2007," Forecasting Report, Economic and Social Research Institute (ESRI), number QEC20073, march.
    2. Barrett, Alan & Kearney, Ide & O'Brien, Martin, 2007. "Quarterly Economic Commentary, Summer 2007," Forecasting Report, Economic and Social Research Institute (ESRI), number QEC20072, march.
    3. François Bourguignon & Francisco H. G. Ferreira & Marta Menéndez, 2007. "Inequality Of Opportunity In Brazil," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(4), pages 585-618, December.
    4. ., 2006. "Physical and Social Indicators," Chapters, in: Middle East Oil Exporters, chapter 5, Edward Elgar Publishing.
    5. Barrett, Alan & Kearney, Ide & McCarthy, Yvonne, 2007. "Quarterly Economic Commentary, Spring 2007," Forecasting Report, Economic and Social Research Institute (ESRI), number QEC20071, march.
    6. ., 2007. "The Quantity Theory of Money," Chapters, in: The Causes, Costs and Compensations of Inflation, chapter 4, Edward Elgar Publishing.
    7. 강병수 & 김병재 & 신종칠 & Myung Soo Kang & Byoung Jai Kim & Jong Chil Shin, 2007. "Measuring Consumer-Brand Relationship Quality," Journal of Global Scholars of Marketing Science, Taylor & Francis Journals, vol. 17(2), pages 111-131, June.
    8. ., 2007. "Ways of Quantifying Money Laundering," Chapters, in: The Scale and Impacts of Money Laundering, chapter 3, Edward Elgar Publishing.
    9. ., 2007. "The Quantity Theory in a Risky World," Chapters, in: The Causes, Costs and Compensations of Inflation, chapter 8, Edward Elgar Publishing.
    10. Barrett, Alan & Kearney, Ide & O'Brien, Martin, 2007. "Quarterly Economic Commentary, Winter 2007," Forecasting Report, Economic and Social Research Institute (ESRI), number QEC20074, march.
    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. Wang, Lichao & Yang, Min & Li, Ye & Hou, Yiqi, 2022. "A model of lane-changing intention induced by deceleration frequency in an automatic driving environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qiang Liu & Jin-Qing Fang & Yong Li, 2014. "Three-layered supernetwork evolution model and the application for China-world's top 500 enterprises supernetwork," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 1-12.
    2. Alex Coad & Julian Frankish & Paul Nightingale & Richard Roberts, 2014. "Business experience and start-up size: Buying more lottery tickets next time around?," Small Business Economics, Springer, vol. 43(3), pages 529-547, October.
    3. Shahrouz Abolhosseini & Almas Heshmati & Jorn Altmann, 2014. "The Effect of Renewable Energy Development on Carbon Emission Reduction: An Empirical Analysis for the EU-15 Countries," TEMEP Discussion Papers 2014109, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Mar 2014.
    4. Zheng, Yuhua & Luo, Dongkun, 2013. "Industrial structure and oil consumption growth path of China: Empirical evidence," Energy, Elsevier, vol. 57(C), pages 336-343.
    5. Wei Sun & Shiyong Li, 2014. "Equilibrium and optimal behavior of customers in Markovian queues with multiple working vacations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 694-715, July.
    6. Hwee Kwan Chow, 2014. "International Transmission Of Interest Rates And The Open Economy Trilemma In Asia," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 59(03), pages 1-18.
    7. Luca Benati, 2008. "Investigating Inflation Persistence Across Monetary Regimes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 1005-1060.
    8. Djavad Salehi-Isfahani & Nadia Belhaj Hassine, 2012. "Equality of Opportunity in Education in the Middle East and North Africa," Working Papers e07-33, Virginia Polytechnic Institute and State University, Department of Economics.
    9. Vinod Thomas, 2009. "Income Disparity and Growth," Global Journal of Emerging Market Economies, Emerging Markets Forum, vol. 1(1), pages 63-86, January.
    10. Ferreira, Francisco H. G. & Peragine, Vito, 2015. "Equality of Opportunity: Theory and Evidence," IZA Discussion Papers 8994, Institute of Labor Economics (IZA).
    11. Pedro Salas-Rojo & Juan Gabriel Rodríguez, 2022. "Inheritances and wealth inequality: a machine learning approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(1), pages 27-51, March.
    12. Chong Lu, 2022. "The effect of migration on rural residents’ intergenerational subjective social status mobility in China," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(5), pages 3279-3308, October.
    13. Michał Brzeziński, 2015. "Inequality of opportunity in Europe before and after the Great Recession," Working Papers 2015-02, Faculty of Economic Sciences, University of Warsaw.
    14. He, Qing & Xue, Chang & Zhu, Chenqi, 2014. "Financial development and patterns of industrial specialization : Regional evidence from China," BOFIT Discussion Papers 12/2014, Bank of Finland, Institute for Economies in Transition.
    15. Dirk Van de gaer & Joost Vandenbossche & José Luis Figueroa, 2014. "Children's Health Opportunities and Project Evaluation: Mexico's Oportunidades Program," The World Bank Economic Review, World Bank, vol. 28(2), pages 282-310.
    16. Morgenroth, Edgar & FitzGerald, John & FitzGerald, John, 2006. "Summary and Conclusions," Book Chapters, in: Morgenroth, Edgar (ed.),Ex-Ante Evaluation of the Investment Priorities for the National Development Plan 2007-2013, chapter 24, pages 317-333, Economic and Social Research Institute (ESRI).
      • Baker, Terence J. & FitzGerald, John & Honohan, Patrick & FitzGerald, John & Honohan, Patrick, 1996. "Summary and Conclusions," Book Chapters, in: Baker, Terence J. (ed.),Economic Implications for Ireland of EMU, chapter 12, pages 339-352, Economic and Social Research Institute (ESRI).
    17. Magali Jaoul-Grammare & Brice Magdalou, 2013. "Opportunities in Higher Education: An Application to France," Annals of Economics and Statistics, GENES, issue 111-112, pages 295-325.
    18. Magnusson, Leandro M. & Tarverdi, Yashar, 2020. "Measuring governance: Why do errors matter?," World Development, Elsevier, vol. 136(C).
    19. Lefranc, Arnaud & Pistolesi, Nicolas & Trannoy, Alain, 2009. "Equality of opportunity and luck: Definitions and testable conditions, with an application to income in France," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1189-1207, December.
    20. Marrero,Gustavo Alberto & Rodríguez,Juan Gabriel & Van Der Weide,Roy, 2021. "Does Race and Gender Inequality Impact Income Growth ?," Policy Research Working Paper Series 9865, The World Bank.

    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:wsi:ijmpcx:v:21:y:2010:i:05:n:s0129183110015397. See general information about how to correct material in RePEc.

    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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.