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Delays caused by a queue at a freeway exit ramp

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  • Newell, G. F.

Abstract

We consider here what happens to traffic on a freeway when a queue from an exit ramp backs onto the freeway causing a partial blockage of the right lane. Exiting vehicles are confined to the right lane but through vehicles can travel in any lane. The two vehicle types interact but their queues must be treated separately. This illustrates a special case of a model of "freeways with special lanes" formulated by Daganzo (1997). Whereas Daganzo presented a numerical scheme of calculating flows, the emphasis here is on graphical evaluation of the complete evolution of the queues. The graphical solution more clearly illustrates the practical issues, at least in this special situation.

Suggested Citation

  • Newell, G. F., 1999. "Delays caused by a queue at a freeway exit ramp," Transportation Research Part B: Methodological, Elsevier, vol. 33(5), pages 337-350, June.
  • Handle: RePEc:eee:transb:v:33:y:1999:i:5:p:337-350
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    References listed on IDEAS

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    1. Daganzo, Carlos F. & Lin, Wei-Hua & Del Castillo, Jose M., 1997. "A simple physical principle for the simulation of freeways with special lanes and priority vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 31(2), pages 103-125, April.
    2. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
    3. Daganzo, Carlos F., 1997. "A continuum theory of traffic dynamics for freeways with special lanes," Transportation Research Part B: Methodological, Elsevier, vol. 31(2), pages 83-102, April.
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    Cited by:

    1. Jin, Wen-Long & Zhang, H. Michael, 2013. "An instantaneous kinematic wave theory of diverging traffic," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 1-16.
    2. Jingqiu Guo & Xinyao Chen & Yuqi Pang & Yibing Wang & Pengjun Zheng, 2019. "Bottlenecks, Shockwave, and Off-Ramp Blockage on Freeways," Sustainability, MDPI, vol. 11(18), pages 1-23, September.
    3. Wen-Long Jin, 2015. "Analysis of Kinematic Waves Arising in Diverging Traffic Flow Models," Transportation Science, INFORMS, vol. 49(1), pages 28-45, February.
    4. Haitao, He & Menendez, Monica & Ilgin Guler, S., 2018. "Analytical evaluation of flexible-sharing strategies on multimodal arterials," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 364-379.
    5. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    6. Muñoz, Juan Carlos & Daganzo, Carlos F., 2002. "The bottleneck mechanism of a freeway diverge," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(6), pages 483-505, July.
    7. Juan Carlos Muñoz & Carlos F. Daganzo, 2003. "Structure of the Transition Zone Behind Freeway Queues," Transportation Science, INFORMS, vol. 37(3), pages 312-329, August.

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