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Lane-Based Optimization for Macroscopic Network Configuration Designs

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  • C. K. Wong
  • Yi Liu

Abstract

Lane markings (arrows) at individual intersections serve as interfaces to connect upstream and downstream intersections in signal-controlled networks. Demand flows from origins to destinations may need to pass through a series of intersections. If lane markings are not well established to ban turns at intersections, then paths connecting origin and destination (OD) pairs could be inefficient. Due to indirect connections, road users need to take longer paths to reach their destinations. Conventionally, network configurations are fixed inputs for network analysis. In the present study, concepts of the lane-based designs for individual signalized intersections are extended for signal-controlled network designs. Taking OD demand flows as inputs, the proposed algorithm will optimize all lane markings and assigned lane flows on approach lanes. Paths (flows) will then be optimized by linking up the optimized lane markings across upstream and downstream intersections. Traffic signal settings at individual intersections will be optimized simultaneously by maximizing the reserve capacity for the entire OD demand flow matrix. The problem is formulated as a Binary-Mixed-Integer-Linear-Program (BMILP) and a standard branch-and-bound routine is applied to solve for global optimum solutions. A numerical example using a 4-intersection network will be given to demonstrate the effectiveness of the proposed design methodology.

Suggested Citation

  • C. K. Wong & Yi Liu, 2017. "Lane-Based Optimization for Macroscopic Network Configuration Designs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-18, July.
    • Handle: RePEc:hin:jnddns:1257569
    DOI: 10.1155/2017/1257569
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    References listed on IDEAS

    as
    1. Wong, S. C. & Yang, Hai, 1997. "Reserve capacity of a signal-controlled road network," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 397-402, October.
    2. Wong, C.K. & Heydecker, B.G., 2011. "Optimal allocation of turns to lanes at an isolated signal-controlled junction," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 667-681, May.
    3. Wong, S. C. & Yang, Chao & Lo, Hong K., 2001. "A path-based traffic assignment algorithm based on the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 163-181, February.
    4. Wong, S. C., 1996. "Group-based optimisation of signal timings using the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 217-244, June.
    5. Wong, C. K. & Wong, S. C., 2003. "Lane-based optimization of signal timings for isolated junctions," Transportation Research Part B: Methodological, Elsevier, vol. 37(1), pages 63-84, January.
    6. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
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    Cited by:

    1. Chi-kwong Wong & Yiu-yin Lee, 2020. "Lane-Based Traffic Signal Simulation and Optimization for Preventing Overflow," Mathematics, MDPI, vol. 8(8), pages 1-28, August.

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