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Optimal signal timing design for urban street networks under user equilibrium based traffic conditions : final report.

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English


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    Final report
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  • Abstract:
    In the ever-growing travel demand, traffic congestion on freeways and expressways

    recurs more frequently at a higher number of locations and for longer durations with

    added severity. This becomes especially true in large metropolitan areas. Particular to the

    urban areas, excessive crowdedness caused by inefficient traffic control also results in

    urban street networks operating in near or over-saturated conditions, leading to unpleasant

    travel experience due to long delays at intersections. As a consequence, the recurrent

    traffic congestion on roadway segments and vehicle delays at intersections inevitably

    compromise energy efficiency, traffic mobility improvement, safety enhancement, and

    environmental impacts mitigation. All too often, neither restraining travel demand nor

    expanding system capacity is desirable and practical. Conversely, effectively utilizing the

    capacity of the existing transportation system has been increasingly thought of as the

    solution to congestion relief. With respect to the urban street networks, developing

    effective means for urban intersection signal optimization becomes essential to reduce

    intersection delays.

    Conventional signal timing optimization methods use historical traffic data and

    assume that traffic flows will remains unchanged after the implementation of new signal

    timing plans. Traffic flows are assumed to be constant, but in fact, when signal timing

    plans change, travel times for some travel routes will alter, which requires drivers in the

    network to adjust their choice of travel routes to arrive at the destinations, and result in redistribution of traffic in the network. Therefore, the effects of interactions between

    signal timing plans and traffic flows need to be explicitly taken into consideration. This

    study introduces a new methodology that jointly considers signal timing optimization and

    traffic assignment in an overall analytical framework that contains model formulations

    under assumptions consistent with real world situations. Such a framework is well suited

    for applications in real world cases. Specifically, the overall optimization framework is

    formulated as a bi-level optimization problem. In the proposed basic model, at the upper

    level, a traffic signal timing optimization problem for urban network is introduced to

    minimize system total travel time by optimizing signal green splits. At the lower level, a

    static user equilibrium problem is formulated for networkwide traffic assignment. In the

    vehicle delay estimation, the time-dependent stochastic delay model in the 2010 Highway

    Capacity Manual (HCM 2010) is employed and formulated as Variational Inequality

    constraints, what allow the state-of-the-art MPEC solver, GAMS/NLPEC, to solve the

    problem for a local optimal effectively and efficiently. The bi-level optimization model is

    first tested using a small network (the test network) and a computational experiment using

    a subarea network in the Chicago central district is conducted to assess the practicality of

    the model formulation in real world applications. In order to import more reality to the basic model and also consider the potential

    system benefit that comes from different signal phasing design, an enhanced model is

    developed based on the basic model by employing integer and binary variables.

    Formulating the problem with binary variables allows for the selection of proper phasing

    design. Heuristic solution methods are proposed and tested using the test network.

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    urn:sha-512:8a389541a37708a7d33cbe228dd31d5c9a755c7490ac1d14b799f6f09cf40618add53be4256d81f5fd097bc05ccdb698944712f56c56afeaec0711f61c3fd293
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