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On characterizing the relationship between route choice behaviour and optimal traffic control solution space

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  • Rinaldi, Marco
  • Tampère, Chris M.J.
  • Viti, Francesco

Abstract

Explicitly including the dynamics of users’ route choice behaviour in optimal traffic control applications has been of interest for researchers in the last five decades. This has been recognized as a very challenging problem, due to the added layer of complexity and the considerable non-convexity of the resulting problem, even when dealing with simple static assignment and analytical link cost functions. In this work we establish a direct behavioural connection between the different shapes and structures emerging in the solution space of such problems and the underlying route choice behaviour. We specifically investigate how changes in the active equilibrium route set exert direct influence on the solution space's structure and behaviour. Based on this result, we then formulate and validate a constrained version of the original problem, yielding desirable properties in terms of solution space regularity.

Suggested Citation

  • Rinaldi, Marco & Tampère, Chris M.J. & Viti, Francesco, 2018. "On characterizing the relationship between route choice behaviour and optimal traffic control solution space," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 892-906.
    • Handle: RePEc:eee:transb:v:117:y:2018:i:pb:p:892-906
    DOI: 10.1016/j.trb.2017.08.014
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    References listed on IDEAS

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    1. Nie, Yu (Marco), 2010. "A class of bush-based algorithms for the traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 73-89, January.
    2. Yang, Hai & Yagar, Sam, 1995. "Traffic assignment and signal control in saturated road networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(2), pages 125-139, March.
    3. Jiang Qian Ying & Toshihiko Miyagi, 2001. "Sensitivity Analysis for Stochastic User Equilibrium Network Flows—A Dual Approach," Transportation Science, INFORMS, vol. 35(2), pages 124-133, May.
    4. Yan, Hai & Lam, William H. K., 1996. "Optimal road tolls under conditions of queueing and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(5), pages 319-332, September.
    5. Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
    6. Hillel Bar-Gera, 2002. "Origin-Based Algorithm for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 36(4), pages 398-417, November.
    7. Hillel Bar-Gera, 2006. "Primal Method for Determining the Most Likely Route Flows in Large Road Networks," Transportation Science, INFORMS, vol. 40(3), pages 269-286, August.
    8. Rinaldi, Marco & Tampère, Chris M.J., 2015. "An extended coordinate descent method for distributed anticipatory network traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 107-131.
    9. Smith, M. J. & Ghali, M., 1990. "The dynamics of traffic assignment and traffic control: A theoretical study," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 409-422, December.
    10. Roger L. Tobin & Terry L. Friesz, 1988. "Sensitivity Analysis for Equilibrium Network Flow," Transportation Science, INFORMS, vol. 22(4), pages 242-250, November.
    11. Bar-Gera, Hillel, 2010. "Traffic assignment by paired alternative segments," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1022-1046, September.
    12. Dial, Robert B., 2006. "A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 917-936, December.
    13. Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
    14. Zhang, Xiaoning & Yang, Hai, 2004. "The optimal cordon-based network congestion pricing problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 517-537, July.
    15. Michael Patriksson, 2004. "Sensitivity Analysis of Traffic Equilibria," Transportation Science, INFORMS, vol. 38(3), pages 258-281, August.
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