Advertisement

An Empirical Analysis of Time Headways on Two-Lane Roads with Mixed Traffic

  • Rupali Roy
  • Pritam SahaEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 36)

Abstract

This paper demonstrates a method of describing headways of two-lane roads under mixed traffic situation using statistical distributions. Characteristically such distributions may have two forms: single and mixture of two or more distributions. A single distribution, however, cannot describe headways in the event of significant proportion of shorter headways in traffic. Use of mixed models is appropriate in such situation since they describe headways by decomposing them into free and following component. Based on experiences with mixed traffic and field studies on two-lane highways of India, this paper has shown that Cowan’s M3 can be reasonably applied for modeling headways up to a flow level that corresponds to ‘moderate to heavy flow’. However, since shifted negative exponential distribution part of the Cowan’s M3 distribution cannot model short headways, Cowan’s M3 distribution cannot model headway data at congested state of flow when almost all the vehicles in the traffic stream start moving in following.

Keywords

Mixed traffic Headway distributions Mixed model 

Notes

Acknowledgement

The part of the analysis presented in the paper has used the data collected in the CSIR-CRRI, New Delhi sponsored project “Development of Indian Highway Capacity Manual (INDO-HCM)”. The authors sincerely acknowledge CSIR-CRRI. The authors are grateful to the anonymous referees for their suggestions to improve the paper.

References

  1. 1.
    Ye, F., Zhang, Y.: Vehicle type-specific headway analysis using freeway traffic data. Transp. Res. Record. 2124, 222–230 (2009)CrossRefGoogle Scholar
  2. 2.
    Zhang, G., Wang, Y., Wei, H., Chen, Y.: Examining headway distribution models with urban freeway loop event data. Transp. Res. Record. 1999, 141–149 (2007)CrossRefGoogle Scholar
  3. 3.
    Panichpapiboon, S.: Time-headway distributions on an expressway: case of Bangkok. J. Transp. Eng. 141(1), 05014007 (2014)CrossRefGoogle Scholar
  4. 4.
    Abtahi, S.M., Tamannaei, M., Haghshenash, H.: Analysis and modelling time headway distributions under heavy traffic flow conditions in the urban highways: case of Isfahan. Transport 26(4), 375–382 (2011)CrossRefGoogle Scholar
  5. 5.
    Chandra, S., Kumar, R.: Headway modelling under mixed traffic on urban roads. Road Transp. Res. 10(1), 61–79 (2001)MathSciNetGoogle Scholar
  6. 6.
    Arasan, V.T., Koshy, R.Z.: Headway distribution of heterogeneous traffic on urban arterials. J. Inst. Eng. (India) 84, 210–215 (2003)Google Scholar
  7. 7.
    Khasnabis, S., Heimbach, C.L.: Headway distribution models for two-lane rural highways. Transp. Res. Record. 772, 44–51 (1980)Google Scholar
  8. 8.
    Al-Ghamdi, A.: Analysis of time headways on urban roads: case study from Riyadh. J. Transp. Eng. 127(4), 289–294 (2001)CrossRefGoogle Scholar
  9. 9.
    Luttinen, R.T.: Statistical Analysis of Vehicle Time Headways. Ph.D. thesis, Helsinki University of Technology, Finland (1996)Google Scholar
  10. 10.
    Cowan, R.J.: Useful headway models. Transport. Res. 9(6), 371–375 (1975)CrossRefGoogle Scholar
  11. 11.
    Branston, D.: Models of single lane time headway distributions. Transport. Sci. 10(2), 125–148 (1976)CrossRefGoogle Scholar
  12. 12.
    Zhang, G., Wang, Y.: A Gaussian kernel-based approach for modelling vehicle headway distributions. Transport. Sci. 48(2), 206–216 (2013)CrossRefGoogle Scholar
  13. 13.
    Tanyel, S., Yayla, N.: A discussion on the parameters of Cowan M3 distribution for Turkey. Transport. Res. A. 37, 129–143 (2003)CrossRefGoogle Scholar
  14. 14.
    Saha, P., Roy, R., Sarkar, A.K., Pal, M.: Preferred time headway of drivers on two-lane highways with heterogeneous traffic. Transp. Lett. (2017).  https://doi.org/10.1080/19427867.2017.1312859 Google Scholar
  15. 15.
    Griffiths, J.D., Hunt, J.G.: Vehicle headways in urban areas. Traffic Eng. Control 32(10), 458–462 (1991)Google Scholar
  16. 16.
    Rengaraju, V.R., Rao, V.T.: Vehicle-arrival characteristics at urban uncontrolled intersections. J. Transp. Eng. 121(4), 317–323 (1995)CrossRefGoogle Scholar
  17. 17.
    Roy, N., Roy, R., Talukdar, H., Saha, P.: Effect of mixed traffic on capacity of two-lane roads: case study on Indian highways. Procedia Eng. 187, 53–58 (2017)CrossRefGoogle Scholar
  18. 18.
    Vasconcelos, L., Silva, A.B., Seco, Á., Silva, J.P.: Estimating the parameters of Cowan’s M3 headway distribution for roundabout capacity analyses. Balt. J. Road Bridge E. 7, 261–268 (2012)CrossRefGoogle Scholar
  19. 19.
    National Academics: Highway Capacity Manual. TRB, Washington D.C. (2010)Google Scholar
  20. 20.
    Myung, I.J.: Tutorial on maximum likelihood estimation. J. Math. Psychol. 47, 90–100 (2003)MathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    Wang, X., Peng, Z.: Method of moments for estimating uncertainty distributions. J. Uncertainty Anal. Appl. 2(1), 5 (2014)CrossRefGoogle Scholar
  22. 22.
    Kominek, Z.: Minimum chi-squared estimation of stable distributions parameters: an application to the Warsaw Stock Exchange. J. Appl. Stat. 29(5), 729–744 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  23. 23.
    Luttinen, R.T.: Properties of Cowan's M3 headway distribution. Transp. Res. Record. 1678, 189–196 (1999)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Indian Institute of Engineering Science and Technology, ShibpurHowrahIndia

Personalised recommendations