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Maximum car ownership under constraints of road capacity and parking space

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  • Tam, M. L.
  • Lam, William H. K.

Abstract

This paper presents a model for determining the maximum number of cars by zones in view of the capacity of the road network and the number of parking spaces available. In other words, the proposed model is to examine whether existing road network and parking supply is capable of accommodating future zonal car ownership growth (or the reserve capacity in each zone); i.e. the potential maximum zonal car ownership growth that generates the road traffic within the network capacity and parking space constraints. In the proposed model, the vehicular trip production and attraction are dependent on the car ownership, available parking spaces and the accessibility measures by traffic zones. The model is formulated as a bi-level programming problem. The lower-level problem is an equilibrium trip distribution/assignment problem, while the upper-level problem is to maximize the sum of zonal car ownership by considering travellers' route and destination choice behaviour and satisfying the network capacity and parking space constraints. A sensitivity analysis based heuristic algorithm is developed to solve the proposed bi-level car ownership problem and is illustrated with a numerical example.

Suggested Citation

  • Tam, M. L. & Lam, William H. K., 2000. "Maximum car ownership under constraints of road capacity and parking space," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(3), pages 145-170, April.
    • Handle: RePEc:eee:transa:v:34:y:2000:i:3:p:145-170
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    References listed on IDEAS

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    Cited by:

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    3. Josefsson, Magnus & Patriksson, Michael, 2007. "Sensitivity analysis of separable traffic equilibrium equilibria with application to bilevel optimization in network design," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 4-31, January.
    4. Arnott, Richard & Rowse, John, 2013. "Curbside parking time limits," Transportation Research Part A: Policy and Practice, Elsevier, vol. 55(C), pages 89-110.
    5. Liyin Shen & Lei Du & Xining Yang & Xiaoyun Du & Jinhuan Wang & Jianli Hao, 2018. "Sustainable Strategies for Transportation Development in Emerging Cities in China: A Simulation Approach," Sustainability, MDPI, vol. 10(3), pages 1-22, March.
    6. Yang, Chao & Chen, Anthony, 2009. "Sensitivity analysis of the combined travel demand model with applications," European Journal of Operational Research, Elsevier, vol. 198(3), pages 909-921, November.
    7. A. de Palma & Y. Nesterov, 2001. "Park and Ride for the Morning and Evening Commute," THEMA Working Papers 2001-16, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. Seungkyu Ryu, 2021. "Mode Choice Change under Environmental Constraints in the Combined Modal Split and Traffic Assignment Model," Sustainability, MDPI, vol. 13(7), pages 1-16, March.
    9. Xu, Shu-Xian & Liu, Tian-Liang & Huang, Hai-Jun & Liu, Ronghui, 2018. "Mode choice and railway subsidy in a congested monocentric city with endogenous population distribution," Transportation Research Part A: Policy and Practice, Elsevier, vol. 116(C), pages 413-433.
    10. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
    11. Xu, Meng & Chen, Anthony & Gao, Ziyou, 2008. "An improved origin-based algorithm for solving the combined distribution and assignment problem," European Journal of Operational Research, Elsevier, vol. 188(2), pages 354-369, July.
    12. Guo, Zhan, 2013. "Does residential parking supply affect household car ownership? The case of New York City," Journal of Transport Geography, Elsevier, vol. 26(C), pages 18-28.
    13. Teodorovic, Dusan & Lucic, Panta, 2006. "Intelligent parking systems," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1666-1681, December.
    14. Zhaoqi Zang & Xiangdong Xu & Anthony Chen & Chao Yang, 2022. "Modeling the α-max capacity of transportation networks: a single-level mathematical programming formulation," Transportation, Springer, vol. 49(4), pages 1211-1243, August.
    15. Levy, Nadav & Render, Marc & Benenson, Itzhak, 2015. "Spatially explicit modeling of parking search as a tool for urban parking facilities and policy assessment," Transport Policy, Elsevier, vol. 39(C), pages 9-20.
    16. Seungkyu Ryu & Anthony Chen & Xiangdong Xu & Keechoo Choi, 2014. "A Dual Approach for Solving the Combined Distribution and Assignment Problem with Link Capacity Constraints," Networks and Spatial Economics, Springer, vol. 14(2), pages 245-270, June.
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    18. Ampol Karoonsoontawong & Dung-Ying Lin, 2015. "Combined Gravity Model Trip Distribution and Paired Combinatorial Logit Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 15(4), pages 1011-1048, December.

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