Communications - Scientific Letters of the University of Zilina 2015, 17(2):30-34 | DOI: 10.26552/com.C.2015.2.30-34
Modelling Passengers' Arrivals at Public Transport Stops
- 1 Department of Mathematical Methods and Operations Research, Faculty of Management Science and Informatics, University of Zilina, Slovakia
The paper presents statistical exploration of passengers' arrivals at bus stops in urban public transport. First, it describes the methodology which is applied on the urban public transport system where the following conditions are met: (i) passengers are familiar with the timetables, (ii) the vehicles run on time, and (iii) the capacity of the vehicles is sufficient. The methodology is demonstrated on the urban public transport in Zilina, Slovak Republic. The correlation analysis reveals that there is a correlation between the waiting time and headway. The relationship between these variables can be described by a linear function or better by a logarithmic function. The Kolmogorov-Smirnov and the chi-square tests accept the hypothesis that the Gumbel minimum distribution fits for modelling passengers' arrivals rates. The proposed models are helpful in public transport planning.
Keywords: public transport; passengers' waiting time; correlation analysis; regression analysis
Published: May 31, 2015 Show citation
References
- ALVAREZ, A., CASADO, S., GONZALEZ VELARDE, J. L., PACHECO, J.: A Computational Tool for Optimizing the Urban Public Transport: A Real Application. J. of Computer and Systems Sciences International 49(2), 2010, pp. 244-252.
Go to original source...
- AVINERI, E.: A Cumulative Prospect Theory Approach to Passengers Modeling: Waiting Time Paradox Revisited. J. of Intelligent Transportation Systems 8(4), 2004, pp. 195-204.
Go to original source...
- DAGANZO, C. F.: Fundamentals of Transportation and Traffic Operations. New York: Elsevier Science Inc., 1997.
Go to original source...
- FAN, W., MACHEMEHL, R. B.: Optimal Transit Route Network Design Problem: Algorithms, Implementations, and Numerical Results. Report No. SWUTC/04/167244-1, Center for Transportation Research: University of Texas at Austin, 2004.
- OSUNA, E. E., NEWELL, G. F.: Control Strategies for an Idealized Public Transportation System. Transportation Science 6(1), 1972, pp. 52-72.
Go to original source...
- JANACEK, J., KOHANI, M.: Waiting Time Optimisation with IP-solver. Communications - Scientific Letters of the University of Zilina, 12(3A), 2010, pp. 36-41.
Go to original source...
- JANOSIKOVA, L., KOHANI, M., BLATON, M., TEICHMANN, D.: Optimization of the Urban Line Network Using a Mathematical Programming Approach. Intern. J. of Sustainable Development and Planning 7(3), 2012, pp. 288-301.
Go to original source...
- ERATH, A., VAN EGGERMOND, M. A. B., FOURIE, P. J., CHAKIROV, A.: Decision Support Tools in Transport Planning: From Research to Practice. Paper presented at the 13th Swiss Transport Research Conference, Ascona, April 2013.
- LUETHI, M., WEIDMANN, U., NASH, A.: Passenger Arrival Rates at Public Transport Stations. Working paper doi:10.3929/ethz-a-005704674, Zurich : Institute for Transport Planning and Systems: ETH Zurich, 2006.
This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.