Time headway variable and probabilistic modeling

Transportation Research Part C: Emerging Technologies

Volumn 25, Issue , 2012, Pages 181-201

  Ha, Duy Hung ^a   Aron, Maurice ^b   Cohen, Simon ^b  

^a Les Routes et leur Anénagement   (France)

^b UNIVERSITÉ GUSTAVE EIFFEL   (France)

Author keywords

Combined model; Generalized Queuing Model (GQM); Mixed model; Ratio between time Headway and Instantaneous Speed (RHIS); Semi Poisson Model (SPM); Shifted Hyper Log normal Model (HyperLNM); Shifted Log normal Model (LNM); Single model; Time headway (TH)

Indexed keywords

PROBABILITY DISTRIBUTIONS; QUEUEING THEORY;

COMBINED MODEL; GENERALIZED QUEUING MODEL (GQM); MIXED MODELING; RATIO BETWEEN TIME HEADWAY AND INSTANTANEOUS SPEED (RHIS); SEMI-POISSON MODEL (SPM); SHIFTED HYPER LOGNORMAL MODELS (HYPERLNM); SHIFTED LOG-NORMAL MODELS (LNM); SINGLE MODELS; TIME HEADWAY;

TRAFFIC CONTROL;

ESTIMATION METHOD; NUMERICAL MODEL; POISSON RATIO; PROBABILITY; ROAD TRANSPORT; STATISTICAL ANALYSIS; TRAFFIC MANAGEMENT;

FRANCE;

EID: 84864276218     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2012.06.002     Document Type: Article

References (44)

1. Adams W.F. Road traffic considered as a random series. Journal of Institute Civil Engineering 1936, 4:121-130.
2. Aly, M.S., 1989. Headway Distribution Model Interrelationships between Headway and Fundamental Traffic Flow Characteristics. PhD Thesis. Institute of Transportation Engineering and University of Karlsruhe.
3. Aron, M., Biecheler, M.-B., Peytavin, J.-F., 2000. Temps intervéhiculaires et vitesses: Quels enjeux de sécurité sur les routes de Normandie? Convention DSCR/INRETS 1, INRETS, French.
4. Ashton W.D. Distribution for gaps in road traffic. Journal of Institute Mathematics Application 1970, 7:37-46.
5. Banks J.H. Another look at a priori relationships among traffic flow characteristics. Transportation Research Record 1989, 1510:1-10.
6. Biecheler, M.-B., Peytavin, J.-F., 2000. Vitesses et proximités entre véhicules. Technical Report. INRETS, French.
7. Branston D. Models of single lane time headway distributions. Transportation Science 1976, 10(12):125-148.
8. Breiman L. The poisson tendency in traffic distribution. Electronics Research Laboratory 1962, 60:1-9.
9. Breiman L., Lawrence F. Time scales, fluctuations and constant flow periods in uni-directional traffic. Transportation Research 1973, 7:77-105.
10. Buckley D.J. A semi-poisson model of traffic flow. Transportation Science 1968, 2:107-133.
11. Buckley D.J. A semi-poisson model of traffic flow. Transportation Science 1968, 2:107-133.
12. Cassidy M., Coifman B. Relation among average speed, speed, flow, and density and analogous relation between density and occupancy. Transportation Research Record 1989, 1591:1-6.
13. Cohen A.C., Whitten B.J. Estimation in the three-parameter lognormal distribution. Journal of the American Statistical Association 1980, 75(370):399-404.
14. Cohen, S., 1983. Méthodes d'estimation de la capacité des autoroutes. Rapport de Recherche I.R.T. 62, INRETS.
15. Cowan R.J. Useful headway models. Transportation Research 1975, 9:371-375.
16. Cox, D.R., Lewis, P.A.W., 1969. L'analyse statistique des séries d'événements, Dunod.
17. Cox D.R., Stuart A. Some quick sign tests for trend in location and dispersion. Biometrila 1955, 42:80-95.
18. Crow, E.L., Shimizu, K., 1988. Lognormal Distributions: Theory and Application. Marcel Dekker, Inc.
19. Dawson F., Chimini L.A. The hyperlang probability distribution - a generalized traffic headway model. Highway Research Board 1968, 230:1-14.
20. Gerlough, D., Huber, M.J., 1975. Traffic Flow Theory, TRB. Special Report 165.
21. Grecco W.L., Sword E.C. Prediction of parameters for Schuhl's headway distribution. Traffic Engineering 1968, 38(5):36-38.
22. Greenberg I. The log-normal distribution of headways. Australian Road Research 1966, 2:14-20.
23. Griffiths J.D. Vehicle headways in urban areas. Traffic Engineering Control 1991, 32(10):458-462.
24. Ha, D.H., 2011. Modélisation statistique et probabiliste du Temps Inter-Véhiculaire aux différents niveaux de trafic. PhD Thesis. Université Pars-Est. France.
25. Ha, D.H., Aron, M., Cohen, S., 2010. Comparison of time headway distribution in different traffic contexts. In: World Conference of Transportation Research, Lisbon, Portugal.
26. Ha D.H., Aron M., Cohen S. Variations in parameters of the time headway models according to macroscopic variables, fundamental diagram and exogenous effects. Transportation Research Record 2011, 2260:102-112.
27. Haight F.A., Whisler B.F., Mosher W.W. New statistical method for describing highway distributions of cars. Highway Research Board Proceedings 1961, 40:557-564.
28. Hoogendoorn S.P. Unified approach to estimating free speed distributions. Transportation Research Part B - Methodological 2005, 39:709-727.
29. Hoogendoorn, S.P., Botma, H., 1996. The Estimation of Parameters in Headway Distributions. Technical Report. TRAIL Research School Delft.
30. Hoogendoorn S.P., Botma H. Modeling and estimation of headway distributions. Transportation Research Record 1997, 1591:14-22.
31. Hoogendoorn S.P., Bovy P.H.L. New estimation technique for vehicle-type-specific headway distributions. Transportation Research Record 1998, 1646:18-28.
32. Krbalek M., Seba P., Wagner P. Headways in traffic flow: remarks from a physical perspective. Physical Review E 2001, 64:066119.
33. Luttinen, R.T., 1996. Statistical Analysis of Vehicular Time Headways. PhD Thesis. University of Technology Lahti Center, Neopoli, Lahti, Finland.
34. Luttinen R.T. Properties of cowan's m3 headway distribution. Transportation Research Record 1999, 1678:189-196.
35. May A.D. Traffic Flow Fundamentals 1990, Prentice-Hall, Englewood Cliffs.
36. Miller A.J. An empirical model for multilane road traffic. Transportation Science 1970, 4.
37. Minderhoud M.M., Botma H., Bovy P.H.L. Assessment of roadway capacity estimation methods. Transportation Research Record 1997, 1572:59-67.
38. Ovuworie G.C., Darzentas J., Mcdowell R.C. Free movers, followers and others: a reconsideration of headway distributions. Traffic Engineering & Control 1980, 21(8):425-428.
39. Pueboobpaphan, R., Park, D., 2008. Time headway distribution of probe vehicles on single and multiple lane highway. In: International Conference on Application of Advanced Technologies in Transportation, Athens, Greece .
40. Schuhl, A., 1955. Probability theory applied to vehicle distribution on two-lane highways. In: Poisson and Traffic. The Eno Foundation for Highway Traffic Control, Saugatuck, Conn.
41. Stuart A., Ord J.K. Kendall's Advanced Theory of Statistics. Classical Inference and Relationship 1991, vol. 2. Edward Arnold.
42. Tolle J.E. The log-normal headway distribution model. Traffic Engineering and Control 1971, 13(1):22-24.
43. Wasielewski P. Car-following headways on freeways interpreted by the semi-poisson headway distribution model. Transportation Science 1979, 13:36-55.
44. Zhang G., Wang Y., Wei H., Chen Y. Examining headway distribution models with urban freeway loop event data. Transportation Research Record 2007, 1999:141-149.