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This shows a PTV Vissim and Viswalk simulation of the well-known bus bunching phenomenon. There are four busses which are all set into the simulation at the same time, all with 10 passengers on board. All busses have a capacity of 100 passengers and have identical geometry (doors etc.) and they all have the same desired speed of 50.0 km/h. There are 12 stops which all have equal distance from the preceding and following stop. The stops are placed on a ring. All of the geometry is absolutely symmetric. It has been created using the rotate network and the read additionally functions. Using PTV Vissim's Public Transport partial routes the busses keep to serve all stops for an arbitrary number of times. At all stops pedestrians who are willing to board the next upcoming bus are put into the simulation with the same stochastic rate. Although stochastically the busses all are faced with the same conditions, it follows from the stochastic fluctuations in the pedestrian (boarding passenger) input rate that the number of passengers a bus has to let get on board is different at different stops. A bus which lets board more passengers at later stations lets more passengers alight, which increases his stop time a second time. As a consequence the distance between the busses does not remain the same. Some busses catch up to the one in front of them others fall back. Those which fall back usually have a larger gap to the bus in front of them (unless that bus falls back even more). This implies that they have on average more passengers waiting to board wherever they stop. It depends on the random seed value in which way this happens (if the red bus catches up to the green one and the blue to the yellow, while the distance between the green and the blue and the yellow and the red is increased or if the green catches up to the blue and the yellow to the red or if for example red catches up to green which catches up to blue, while the yellow one stays far from the three). In the end often all four busses stick together, it is only by chance which bus is the leading one. A small sample of papers dealing with bus bunching: C.F. Daganzo "A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons" Transportation Research Part B 43(10) 913-921 (2009). A. Neumann and K. Nagel "Avoiding bus bunching phenomena from spreading: A dynamic approach using a multi-agent simulation framework" Working Paper, VSP TU Berlin (2010). J.M. Pilachowski "An approach to reducing bus bunching" PhD Thesis UC Berkeley (2009). J.J. Bartholdi and D.D. Eisenstein "A self-coördinating bus route to resist bus bunching" 46(4) 481-491 (2012). K. Huddart "Bus priority in Greater London. Bus bunching and regularity of service" Traffic Engineering and Control 14 592-594 (1974). H. Shimamoto and J.D. Schmöcker "Transit assignment model incorporating the bus bunching effect" 12th World Congress on Transport Research (2010). W. Feng and M. Figliozzi "Using Archived AVL/APC Bus Data to Identify Spatial-Temporal Causes of Bus Bunching" 90th TRB Meeting (2010). M.A. Miller et al. "Framework for bus rapid transit development and deployment planning" Research Report (2004). S. Jaiswal et al. "Operating characteristics and performance of a busway transit station" 30th Australasian Transport Research Forum (2007). W. Ma and X. Yang "Design and evaluation of an adaptive bus signal priority system base on wireless sensor network" ITSC 2008 1073-1077 (2008). J.G. Strathman et al. "Evaluation of transit operations: data applications of Tri-Met's automated Bus Dispatching System" Transportation 29(3) 321-345 (2002). T. Nagatani "Kinetic clustering and jamming transitions in a car-following model for bus route" Physica A 287(1) 302-312 (2000). M. Abkowitz and J. Tozzi "Research contributions to managing transit service reliability" Journal of Advanced Transportation 21(1) 47-65 (1987). R. Jiang et al. "Realistic bus route model considering the capacity of the bus" European Physical Journal B 34(3) 367-372 (2003). T. Vanderbilt et al. "Traffic: Why We Drive the Way We Do (and What It Says about Us)" (2005). Find out more about PTV Viswalk: https://www.ptvgroup.com/en/solutions...