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Topological network design of pedestrian networks

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  • Mitchell, David H.
  • MacGregor Smith, J.

Abstract

The design and analysis of series, merge, and splitting topologies of pedestrian networks is presented and an analytical approximation methodology is developed to compute the network performance measures. State dependent queuing networks are appropriate tools for modelling congestion in vehicular and pedestrian traffic networks, and many others where congestion occurs due to a decay in the service rate with increased density of customer traffic. This paper focuses on models for pedestrian network design. Also, an optimization methodology is developed for determining the optimal capacity requirements of these networks and extensive experimental results are included.

Suggested Citation

  • Mitchell, David H. & MacGregor Smith, J., 2001. "Topological network design of pedestrian networks," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 107-135, February.
    • Handle: RePEc:eee:transb:v:35:y:2001:i:2:p:107-135
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    References listed on IDEAS

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    1. Kerbachea, Laoucine & MacGregor Smith, J., 1987. "The generalized expansion method for open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 32(3), pages 448-461, December.
    2. J. MacGregor Smith & Sophia Daskalaki, 1988. "Buffer Space Allocation in Automated Assembly Lines," Operations Research, INFORMS, vol. 36(2), pages 343-358, April.
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    Cited by:

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    2. Veenstra, A.W. & Mulder, H.M. & Sels, R.A., 2003. "Network analysis in the Caribbean," Econometric Institute Research Papers EI 2003-40, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Jasmine Siu Lee Lam & Jing Dai, 2012. "A decision support system for port selection," Transportation Planning and Technology, Taylor & Francis Journals, vol. 35(4), pages 509-524, January.
    4. Zhu, Juanxiu & Hu, Lu & Jiang, Yangsheng & Khattak, Afaq, 2017. "Circulation network design for urban rail transit station using a PH(n)/PH(n)/C/C queuing network model," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1043-1068.
    5. Khalidur Rahman & Noraida Abdul Ghani & Anton Abdulbasah Kamil & Adli Mustafa, 2013. "Weighted Regression Method for the Study of Pedestrian Flow Characteristics in Dhaka, Bangladesh," Modern Applied Science, Canadian Center of Science and Education, vol. 7(4), pages 1-17, April.
    6. Ryan Palmer & Martin Utley, 2020. "On the modelling and performance measurement of service networks with heterogeneous customers," Annals of Operations Research, Springer, vol. 293(1), pages 237-268, October.
    7. Hu, Lu & Zhao, Bin & Zhu, Juanxiu & Jiang, Yangsheng, 2019. "Two time-varying and state-dependent fluid queuing models for traffic circulation systems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 997-1019.
    8. Drezner, Zvi & Wesolowsky, George O., 2003. "Network design: selection and design of links and facility location," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 241-256, March.
    9. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    10. Carlos Pestana Barros & J. Augusto Felício & Renato Leite Fernandes, 2012. "Productivity analysis of Brazilian seaports," Maritime Policy & Management, Taylor & Francis Journals, vol. 39(5), pages 503-523, September.
    11. MacGregor Smith, J. & Cruz, F.R.B., 2014. "M/G/c/c state dependent travel time models and properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 560-579.
    12. Cruz, F.R.B. & van Woensel, T. & MacGregor Smith, J. & Lieckens, K., 2010. "On the system optimum of traffic assignment in M/G/c/c state-dependent queueing networks," European Journal of Operational Research, Elsevier, vol. 201(1), pages 183-193, February.
    13. Hu, Lu & Jiang, Yangsheng & Zhu, Juanxiu & Chen, Yanru, 2015. "A PH/PH(n)/C/C state-dependent queuing model for metro station corridor width design," European Journal of Operational Research, Elsevier, vol. 240(1), pages 109-126.
    14. Mehrdad Moshtagh & Jafar Fathali & James MacGregor Smith & Nezam Mahdavi-Amiri, 2019. "Finding an optimal core on a tree network with M/G/c/c state-dependent queues," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 115-142, February.

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