Understanding the Distribution Characteristics of Bus Speed Based on Geocoded Data

Data-driven traffic management and control has attracted much attention recently. This paper conducts a series of coherent analyses based on geocoded data to understand the distribution characteristics of bus operational speed and to explore the potential applications of speed distributions. First, an original bipartite model is adopted for capturing instantaneous speed where the suspended and moving states are considered separately and a two-component mixed Weibull distribution is used to model the speed distribution in moving states. The mixed Gaussian distribution with variable components is found to be capable of expressing the speed distribution patterns of different road sections. Second, elaborate analyses on the basis of speed distribution modelling are conducted: (i) regression analyses are conducted to explore the correlations between parameters of instantaneous speed distributions and traffic related factors; (ii) a powerful clustering method using Kullback-Leibler divergence as the distance measure is proposed to grade the road sections of a bus route. These results can be utilized in fields such as bus operations management, bus priority signal control and infrastructure transformation aiming to improve the efficiency of bus operations systems.

[1]  Feng Shi,et al.  Evaluation of exclusive bus lanes in a bi-modal degradable road network , 2015 .

[2]  H J Leong,et al.  The distribution and trend of free speeds on two lane two way rural highways in New South Wales , 1968 .

[3]  Carlos F. Daganzo,et al.  Dynamic bus holding strategies for schedule reliability: Optimal linear control and performance analysis , 2011 .

[4]  Xiaolei Ma,et al.  Development of a Data-Driven Platform for Transit Performance Measures Using Smart Card and GPS Data , 2014 .

[5]  Peter J. Rousseeuw,et al.  Finding Groups in Data: An Introduction to Cluster Analysis , 1990 .

[6]  Riccardo Rossi,et al.  Empirical Analysis of Vehicle Time Headways and Speeds on Rural Two-Lane, Two-Way Roads , 2014 .

[7]  Hae-Sang Park,et al.  A simple and fast algorithm for K-medoids clustering , 2009, Expert Syst. Appl..

[8]  Adolf D. May,et al.  Traffic Flow Fundamentals , 1989 .

[9]  Hjp Harry Timmermans,et al.  Incorporating space-time constraints and activity-travel time profiles in a multi-state supernetwork approach to individual activity-travel scheduling , 2013 .

[10]  Akhilesh Kumar Maurya,et al.  Speed and Time Headway Distribution under Mixed Traffic Condition , 2015 .

[11]  Gérard Lachapelle,et al.  DGPS High Accuracy Aircraft Velocity Determination Using Doppler Measurements , 1997 .

[12]  G. McLachlan,et al.  The EM algorithm and extensions , 1996 .

[13]  Jordi Casas,et al.  Development of a new microscopic passing maneuver model for two-lane rural roads , 2015 .

[14]  Yajie Zou,et al.  Use of Skew-Normal and Skew-t Distributions for Mixture Modeling of Freeway Speed Data , 2011 .

[15]  A. F. Smith,et al.  Statistical analysis of finite mixture distributions , 1986 .

[16]  John R. Hershey,et al.  Approximating the Kullback Leibler Divergence Between Gaussian Mixture Models , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[17]  Markos Papageorgiou,et al.  Speed Modeling and Travel Time Estimation Based on Truncated Normal and Lognormal Distributions , 2012 .

[18]  Maya R. Gupta,et al.  Similarity-based Classification: Concepts and Algorithms , 2009, J. Mach. Learn. Res..

[19]  Michael Eichler,et al.  Bus lanes with intermittent priority: Strategy formulae and an evaluation , 2006 .

[20]  Charles L. A. Clarke,et al.  Effective measures for inter-document similarity , 2013, CIKM.

[21]  J R McLean OBSERVED SPEED DISTRIBUTIONS AND RURAL ROAD TRAFFIC OPERATIONS , 1979 .

[22]  Jiancheng Weng,et al.  Characteristic Analysis of Bus Travel Speed on Commuting Corridors Based on GPS Data , 2014 .

[23]  Randall Guensler,et al.  Characterization of Congestion Based on Speed Distribution: A Statistical Approach Using Gaussian Mixture Model , 2005 .

[24]  Maurice G. Kendall,et al.  The advanced theory of statistics , 1945 .

[25]  Edgar S. García-Treviño,et al.  Distributed Classification of Traffic Anomalies Using Microscopic Traffic Variables , 2013, IEEE Transactions on Intelligent Transportation Systems.

[26]  Byungkyu Park,et al.  Microscopic Simulation Model Calibration and Validation: Case Study of VISSIM Simulation Model for a Coordinated Actuated Signal System , 2003 .

[27]  Mauricio Zúñiga,et al.  Commercial bus speed diagnosis based on GPS-monitored data , 2011 .

[28]  Robert B. Noland,et al.  Current map-matching algorithms for transport applications: State-of-the art and future research directions , 2007 .

[29]  Mohamed Abdel-Aty,et al.  An Optimal Variable Speed Limits System to Ameliorate Traffic Safety Risk , 2014 .

[30]  Philippe Marchal,et al.  Postprocessing Procedures for Person-Based Global Positioning System Data Collected in the French National Travel Survey 2007–2008 , 2011 .

[31]  Hyunjoong Kim,et al.  Functional Analysis I , 2017 .

[32]  D. L. Gerlough,et al.  Traffic flow theory : a monograph , 1975 .

[33]  Feixiong Liao,et al.  Modeling duration choice in space–time multi-state supernetworks for individual activity-travel scheduling , 2016 .

[34]  Dominik Endres,et al.  A new metric for probability distributions , 2003, IEEE Transactions on Information Theory.

[35]  Dieter Pfoser,et al.  On Map-Matching Vehicle Tracking Data , 2005, VLDB.

[36]  Peter R. Stopher,et al.  Review of GPS Travel Survey and GPS Data-Processing Methods , 2014 .

[37]  Dominique Lord,et al.  Bayesian mixture modeling approach to account for heterogeneity in speed data , 2010 .

[38]  Sylvia Frühwirth-Schnatter,et al.  Finite Mixture and Markov Switching Models , 2006 .

[39]  Jungwook Jun Understanding the variability of speed distributions under mixed traffic conditions caused by holiday traffic , 2010 .

[40]  P. Dey,et al.  Speed Distribution Curves under Mixed Traffic Conditions , 2006 .

[41]  Charles D. Ghilani,et al.  Elementary Surveying: An Introduction to Geomatics , 2005 .

[42]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .