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Delays for both pedestrians classified and vehicles at a signalized crosswalk

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Abstract

Delays of both pedestrians, who are classified according to whether complying with traffic law, and vehicles at a signalized crosswalk are analyzed in this paper. The truncated Adams’ model is applied to generate the probability and mean of delay of pedestrians non-complying with traffic law. Using the section-based traffic queuing-theory and the stochastic decomposition property of M/G/1 vacation system with exhaustive service, the mean delay of vehicles is formulated. A multi-objective optimization model simultaneously minimizing the delays of pedestrians and vehicles during a signal period is proposed. The effects, which several model parameters have on the delays and the optimal solution of the model, are illustrated by numerical examples.

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Authors and Affiliations

  1. College of Computer Science, Inner Mongolia University, Hohhot, 010021, China

    Renyong Guo

  2. School of Transportation Engineering, Hefei University of Technology, Hefei, 230009, China

    Xiaoshan Lu

Authors
  1. Renyong Guo
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  2. Xiaoshan Lu
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Corresponding author

Correspondence to Xiaoshan Lu.

Additional information

The research is supported by the National Natural Science Foundation of China under Grant Nos. 71261016 and 71401050, the Program for New Century Excellent Talents in University under Grant No. NCET-12-1016, the Natural Science Foundation of Inner Mongolia of China under Grant No. 2014JQ03, and the Fundamental Research Funds for the Central Universities under Grant No. 2013HGBZ0174.

This paper was recommended for publication by Editor WANG Shouyang.

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Guo, R., Lu, X. Delays for both pedestrians classified and vehicles at a signalized crosswalk. J Syst Sci Complex 29, 202–218 (2016). https://doi.org/10.1007/s11424-015-3157-6

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  • DOI: https://doi.org/10.1007/s11424-015-3157-6

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