Analysis of Bus Bunching Impact on Car Delays at Signalized Intersections

In uncontrolled bus systems, buses tend to bunch due to the stochastic nature of traffic flows and passenger demands at bus stops. It is widely acknowledged that bus bunching affects transit operations increasing passenger waiting times and variability. However, transit systems are a part of urban transportation systems. Accordingly, buses also affect traffic flows at signalized intersections leading to additional car delays. In this paper, the impact of a linear bus stop on cars caused by one bus is analyzed by employing the shockwave theory. Further, the operating characteristics of bus bunching in terms of the dwell time at a linear stop are analyzed, in both passenger self-organization and stop-skipping control strategy scenarios. Then, the total dwell time of two bunched buses is calculated, considering different passengers on the two successive buses and the difference between boarding and alighting passengers. Finally, the proposed car delays model is simulated with the aid of computer, where numerical analysis is done to obtain the difference in car delays between two evenly spaced buses and two bunched buses. The results of the numerical analysis indicate that bunched buses lead to additional car delays compared to evenly spaced buses. In addition, numerical tests are conducted for the self-organization and stop-skipping control strategies considering imbalanced passengers on two successive buses and the difference between boarding and alighting passengers. The results show that larger differences between the numbers of passengers on the two bunched buses and lower differences between the numbers of boarding and alighting passengers lead to larger car delays.

[1]  G. F. Newell.  A simplified theory of kinematic waves in highway traffic, part I: General theory , 1993 .

[2]  Kari Watkins,et al.  A real-time bus dispatching policy to minimize passenger wait on a high frequency route , 2015 .

[3]  Carlos F. Daganzo,et al.  A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons , 2009 .

[4]  Ronghui Liu,et al.  Modelling bus bunching and holding control with vehicle overtaking and distributed passenger boarding behaviour , 2017 .

[5]  D L Woods,et al.  Loop Detector Crosstalk , 1997 .

[6]  Ziyou Gao,et al.  The capacity of two neighbour intersections considering the influence of the bus stop , 2008 .

[7]  Carlos F. Daganzo,et al.  Reducing bunching with bus-to-bus cooperation , 2011 .

[8]  Shing Chung Josh Wong,et al.  Delay at signal-controlled intersection with bus stop upstream , 1998 .

[9]  G. F. Newell.  A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks , 1993 .

[10]  Daniel Lester Holt.  The Effects of Bus Stops on the Saturation Flow Rate of Signalized Intersections , 2004 .

[11]  L Nowlin,et al.  LOCATION AND DESIGN OF BUS STOPS , 1997 .

[12]  Peter G Furth,et al.  Near side, far side, uphill, downhill : Impact of bus stop location on bus delay , 2006 .

[13]  Zhiyuan Liu,et al.  Design of limited-stop bus service with capacity constraint and stochastic travel time , 2015 .

[14]  Mark D. Hickman,et al.  The Real–Time Stop–Skipping Problem , 2005, J. Intell. Transp. Syst..

[15]  Ziyou Gao,et al.  The capacity drop caused by the combined effect of the intersection and the bus stop in a CA model , 2007 .

[16]  Satish T. S. Bukkapatnam,et al.  Optimal Slack Time for Schedule-Based Transit Operations , 2006, Transp. Sci..

[17]  Cristián E. Cortés,et al.  Hybrid predictive control for real-time optimization of public transport systems' operations based on evolutionary multi-objective optimization , 2010 .

[18]  Mark D. Hickman,et al.  An Analytic Stochastic Model for the Transit Vehicle Holding Problem , 2001, Transp. Sci..

[19]  Yuwei Li,et al.  On the capacity of isolated, curbside bus stops , 2010 .

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

[21]  D S Terry,et al.  FARSIDE BUS STOPS ARE BETTER , 1971 .

[22]  Alejandro Tirachini,et al.  Hybrid predictive control strategy for a public transport system with uncertain demand , 2012 .

[23]  Vikash V. Gayah,et al.  On the impacts of bus stops near signalized intersections: Models of car and bus delays , 2014 .

[24]  Minghui Ma,et al.  A self-adaptive method to equalize headways: Numerical analysis and comparison , 2016 .

[25]  S. C. Wirasinghe,et al.  NEAR-SIDE OR FAR-SIDE BUS STOPS: A TRANSIT POINT OF VIEW , 1980 .

[26]  Angel Ibeas,et al.  A Two-Stage Urban Bus Stop Location Model , 2012 .