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Morning commute problem considering route choice, user heterogeneity and alternative system optima

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  • Liu, Yang
  • Nie, Yu (Marco)

Abstract

This paper extends the bottleneck model to study congestion behavior of morning commute and its implications to transportation economics. The proposed model considers simultaneous route and departure time choices of heterogenous users who are distinguished by their valuation of travel time and punctual arrival. Moreover, two dynamic system optima are considered: one minimizes system cost in the unit of monetary value (i.e., the conventional system optimum, or SO) and the other minimizes system cost in the unit of travel time (i.e., the time-based SO, or TSO). Analytical solutions of no-toll equilibrium, SO and TSO are provided and the welfare effects of the corresponding dynamic congestion pricing options are examined, with and without route choice. The analyses suggest that TSO provides a Pareto-improving solution to the social inequity issue associated with SO. Although a TSO toll is generally discriminatory, anonymous TSO tolls do exist under certain circumstances. Unlike in the case with homogenous users, an SO toll generally alters users’ route choices by tolling the poorer users off the more desirable road, which worsens social inequity. Numerical examples are presented to verify analytical results.

Suggested Citation

  • Liu, Yang & Nie, Yu (Marco), 2011. "Morning commute problem considering route choice, user heterogeneity and alternative system optima," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 619-642.
  • Handle: RePEc:eee:transb:v:45:y:2011:i:4:p:619-642
    DOI: 10.1016/j.trb.2010.11.003
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Chen, Hongyu & Liu, Yang & Nie, Yu (Marco), 2015. "Solving the step-tolled bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 210-229.
    2. Chen, Hongyu & Nie, Yu (Marco) & Yin, Yafeng, 2015. "Optimal multi-step toll design under general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 775-793.
    3. Nie, Yu (Marco) & Yin, Yafeng, 2013. "Managing rush hour travel choices with tradable credit scheme," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 1-19.
    4. Wang, David Z.W. & Du, Bo, 2016. "Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 1-18.
    5. Wu, Wen-Xiang & Huang, Hai-Jun, 2015. "An ordinary differential equation formulation of the bottleneck model with user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 34-58.
    6. Liu, Yang & Nie, Yu (Marco) & Hall, Jonathan, 2015. "A semi-analytical approach for solving the bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 56-70.
    7. Jia, Zehui & Wang, David Z.W. & Cai, Xingju, 2016. "Traffic managements for household travels in congested morning commute," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 173-189.
    8. Zhao, Hui & Yan, Xuedong & Gao, Ziyou, 2013. "Transportation serviceability analysis for metropolitan commuting corridors based on modal choice modeling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 270-284.
    9. Tian, Li-Jun & Yang, Hai & Huang, Hai-Jun, 2013. "Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 1-13.
    10. Yang, Hai & Liu, Wei & Wang, Xiaolei & Zhang, Xiaoning, 2013. "On the morning commute problem with bottleneck congestion and parking space constraints," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 106-118.
    11. repec:eee:transe:v:103:y:2017:i:c:p:261-285 is not listed on IDEAS
    12. Doan, Kien & Ukkusuri, Satish & Han, Lanshan, 2011. "On the existence of pricing strategies in the discrete time heterogeneous single bottleneck model," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1483-1500.
    13. repec:eee:transe:v:103:y:2017:i:c:p:198-217 is not listed on IDEAS
    14. repec:eee:transb:v:103:y:2017:i:c:p:227-247 is not listed on IDEAS
    15. repec:kap:netspa:v:17:y:2017:i:3:d:10.1007_s11067-017-9340-7 is not listed on IDEAS

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