Public Transport Travel-Time Variability Definitions and Monitoring
Publication: Journal of Transportation Engineering
Volume 141, Issue 1
Abstract
Public transport travel-time variability (PTTV) is essential for understanding the deteriorations in the reliability of travel time, optimizing transit schedules, and route choices. This paper establishes the key definitions of PTTV which firstly include all buses, and secondly include only a single service from a bus route. The paper then analyzes the day-to-day distribution of public transport travel time by using transit signal priority data. A comprehensive approach, using both parametric bootstrapping Kolmogorov-Smirnov test and Bayesian information criterion technique is developed, recommends lognormal distribution as the best descriptor of bus travel time on urban corridors. The probability density function of lognormal distribution is finally used for calculating probability indicators of PTTV. The findings of this study are useful for both traffic managers and statisticians for planning and analyzing the transit systems.
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References
Abdel-Aty, M. A., Kitamura, R., and Jovanis, P. P. (1995). “Investigating effect of travel time variability on route choice using repeated measurement stated preference data.” Transp. Res. Rec. J. Transp. Res. Board, (1493), 39–45.
Abkowitz, M. D., and Engelstein, I. (1983). “Factors affecting running time on transit routes.” Transp. Res. Part A Gen., 17(2), 107–113.
Al-Deek, H., and Emam, E. (2006). “Computing travel time reliability in transportation networks with multistates and dependent link failures.” J. Comput. Civ. Eng., 317–327.
Andersson, P.-Å., Hermansson, Å., Tengvald, E., and Scalia-Tomba, G.-P. (1979). “Analysis and simulation of an urban bus route.” Transp. Res. Part A Gen., 13(6), 439–466.
Bates, J., Dix, M., and May, A. D. (1987). Travel time variability and its effect on time of day choice for the journey to work, PTRC Education and Research Services Limited, U.K., 293–311.
Bates, J., Polak, J., Jones, P., and Cook, A. (2001). “The valuation of reliability for personal travel.” Transp. Res. Part E Logist. Transp. Rev., 37(2–3), 191–229.
Bell, M. G. H., and Cassir, C. (2000). Reliability of transport networks, England: Research Studies Press, Baldock, Hertfordshire, U.K.
Blair, J., Edwards, C., and Johnson, J. (1976). “Rational Chebyshev approximations for the inverse of the error function.” Math. Comput., 30(136), 827–830.
Chien, S., and Liu, X. (2012). An investigation of measurement for travel time variability, A. Abdel-Rahim, ed., InTech, Rijeka, Croatia.
Cody, W. J. (1969). “Rational Chebyshev approximations for the error function.” Math. Comput., 23(107), 631–637.
D’Agostino, R. B., and Stephens, M. A. (1986). Goodness-of-fit techniques, Marcel Dekker, Inc., New York.
Dandy, G., and McBean, E. (1984). “Variability of individual travel time components.” J. Transp. Eng., 340–356.
Durbin, J. (1973). Distribution theory for tests based on sample distribution function, Society for Industrial and Applied Mathematics, Philadelphia, PA.
Hamed, M., Easa, S., and Batayneh, R. (1997). “Disaggregate gap-acceptance model for unsignalized T-intersections.” J. Transp. Eng., 36–42.
Hartigan, J. A., and Hartigan, P. (1985). “The dip test of unimodality.” Ann. Stat., 13(1), 70–84.
Kieu, L. M., Bhaskar, A., and Chung, E. (2014). “Transit passenger segmentation using travel regularity mined from Smart Card transactions data.” Proc., Transportation Research Board 93rd Annual Meeting, National Research Council, Washington, DC.
Kimpel, T., Strathman, J., Dueker, K., Griffin, D., Gerhart, S., and Turner, K. (2000). “Time point-level analysis of passenger demand and transit service reliability.” Rep. TNW2000-03, TransNow, Seattle, WA.
Lilliefors, H. W. (1967). “On the Kolmogorov-Smirnov test for normality with mean and variance unknown.” J. Am. Stat. Assoc., 62(318), 399–402.
Mannering, F., Kim, S.-G., Barfield, W., and Ng, L. (1994). “Statistical analysis of commuters’ route, mode, and departure time flexibility.” Transp. Res. Part C Emerg. Technol., 2(1), 35–47.
Mazloumi, E., Currie, G., and Rose, G. (2010). “Using GPS data to gain insight into public transport travel time variability.” J. Transp. Eng., 623–631.
Mirchandani, P., and Soroush, H. (1987). “Generalized traffic equilibrium with probabilistic travel times and perceptions.” Transp. Sci., 21(3), 133–152.
Moghaddam, S., Noroozi, R., Casello, J., and Hellinga, B. (2011). “Predicting the mean and variance of transit segment and route travel times.” Transp. Res. Rec. J. Transp. Res. Board, 2217(1), 30–37.
Noland, R. B., and Polak, J. W. (2002). “Travel time variability: A review of theoretical and empirical issues.” Transp. Rev., 22(1), 39–54.
Oh, J.-S., and Chung, Y. (2006). “Calculation of travel time variability from loop detector data.” Transp. Res. Rec. J. Transp. Res. Board, 1945(1), 12–23.
Polus, A. (1979). “A study of travel time and reliability on arterial routes.” Transportation, 8(2), 141–151.
Schwarz, G. (1978). “Estimating the dimension of a model.” Ann. Statist., 6(2), 461–464.
Susilawati, S., Taylor, M. A. P., and Somenahalli, S. V. C. (2011). “Distributions of travel time variability on urban roads.” J. Adv. Transp., 47(8), 720–736.
Taylor, M. (1982). “Travel time variability—The case of two public modes.” Transp. Sci., 16(4), 507–521.
van Lint, J. W. C., van Zuylen, H. J., and Tu, H. (2008). “Travel time unreliability on freeways: Why measures based on variance tell only half the story.” Transp. Res. Part A Policy Pract., 42(1), 258–277.
Watling, D. (2006). “User equilibrium traffic network assignment with stochastic travel times and late arrival penalty.” Eur. J. Oper. Res., 175(3), 1539–1556.
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Published In
Journal of Transportation Engineering
Volume 141 • Issue 1 • January 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Feb 17, 2014
Accepted: Jun 2, 2014
Published online: Jul 21, 2014
Discussion open until: Dec 21, 2014
Published in print: Jan 1, 2015
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