##
**Car delay model near bus stops with mixed traffic flow.**
*(English)*
Zbl 1266.90066

Summary: This paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. Bus stops are located on the nonmotorized lanes. When buses dwell at the stop, they block the bicycles. Thus, two conflict points between car stream and other traffic stream are identified. The first conflict point occurs as bicycles merge to the motorized lane to avoid waiting behind the stopping buses. The second occurs as buses merge back to the motorized lane. The average car delay is estimated as the sum of the average delay at these two conflict points and the delay resulting from following the slower bicycles that merged into the motorized lane. Data are collected to calibrate and validate the developed model from one site in Beijing. The sensitivity of car delay to various operation conditions is examined. The results show that both bus stream and bicycle stream have significant effects on car delay. At bus volumes above 200 vehicles per hour, the curbside stop design is not appropriate because of the long car delays. It can be replaced by the bus bay design.

### MSC:

90B20 | Traffic problems in operations research |

PDF
BibTeX
XML
Cite

\textit{Y. Xiaobao} et al., J. Appl. Math. 2013, Article ID 437637, 6 p. (2013; Zbl 1266.90066)

Full Text:
DOI

### References:

[1] | Federal Transit Administration, Transit Cooperative Research Program Report 19: Guidelines for the Location and Design of Bus Stops, Transportation Research Board, Washington, DC, USA, 1996. |

[2] | W. Y. Szeto and Y. Z. Wu, “A simultaneous bus route design and frequency setting problem for Tin Shui Wai, Hong Kong,” European Journal of Operational Research, vol. 209, no. 2, pp. 141-155, 2011. · Zbl 1208.90023 |

[3] | Á. Ibeas, L. Dell’Olio, B. Alonso, and O. Sainz, “Optimizing bus stop spacing in urban areas,” Transportation Research E, vol. 46, no. 3, pp. 446-458, 2010. |

[4] | W. H. Gu, Y. W. Li, M. J. Cassidy, and J. B. Griswold, “On the capacity of isolated, curbside bus stops,” Transportation Research B, vol. 45, no. 4, pp. 714-723, 2011. |

[5] | X. B. Yang, B. F. Si, and M. Huan, “Mixed traffic flow modeling near Chinese bus stops and its applications,” Journal of Central South University, vol. 19, no. 9, pp. 2697-2704, 2012. |

[6] | S. C. Wong, H. Yang, W. S. A. Yeung, S. L. Cheuk, and M. K. Lo, “Delay at signal-controlled intersection with bus stop upstream,” Journal of Transportation Engineering, vol. 124, no. 3, pp. 229-234, 1998. |

[7] | R. Fernández, “Modelling public transport stops by microscopic simulation,” Transportation Research C, vol. 18, no. 6, pp. 856-868, 2010. |

[8] | T. Q. Tang, Y. Li, and H. J. Huang, “The effects of bus stop on traffic flow,” International Journal of Modern Physics C, vol. 20, no. 6, pp. 941-952, 2009. · Zbl 1168.90379 |

[9] | R. Z. Koshy and V. T. Arasan, “Influence of bus stops on flow characteristics of mixed traffic,” Journal of Transportation Engineering, vol. 131, no. 8, pp. 640-643, 2005. |

[10] | D. H. Wang, T. J. Feng, and C. Y. Liang, “Research on bicycle conversion factors,” Transportation Research A, vol. 42, no. 8, pp. 1129-1139, 2008. |

[11] | H. W. Guo, W. H. Wang, W. W. Guo, X. B. Jiang, and H. Bubb, “Reliability analysis of pedestrian safety crossing in urban traffic environment,” Safety Science, vol. 50, no. 4, pp. 968-973, 2012. |

[12] | X. B. Yang, Z. Y. Gao, X. M. Zhao, and B. F. Si, “Road capacity at bus stops with mixed traffic flow in China,” Transportation Research Record, vol. 2111, pp. 18-23, 2009. |

[13] | X. B. Yang, Z. Y. Gao, B. F. Si, and L. Gao, “Car capacity near bus stops with mixed traffic derived by additive-conflict-flows procedure,” Science China Technological Sciences, vol. 54, no. 3, pp. 733-740, 2011. · Zbl 05913006 |

[14] | S. Teply, M. I. Abou-Henaidy, and J. D. Hunt, “Gap acceptance behavior: aggregate and logit perspective,” Traffic Engineering and Control, vol. 38, no. 9, pp. 474-482, 1997. |

[15] | A. Polus and S. Shmueli, “Analysis and evaluation of the capacity of roundabouts,” Transportation Research Record, vol. 1572, pp. 99-104, 1997. |

[16] | J. Medhi, Stochastic Models in Queueing Theory, Academic Press, San Diego, Calif, USA, 2nd edition, 2002. · Zbl 1075.60118 |

[17] | J. Bunker and R. Troutbeck, “Prediction of minor stream delays at a limited priority freeway merge,” Transportation Research B, vol. 37, no. 8, pp. 719-735, 2003. |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.