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Concurrent Optimization of Path Selection and Bandwidth-based
Coordination for an Unclosed Traffic Network
JING Bin-bin, LIN Yong-jie, YAN Zhu-hao, HUANG Zheng-jie
2023, 23(6):
51-62.
DOI: 10.16097/j.cnki.1009-6744.2023.06.006
Bandwidth-based traffic signal coordination plays a crucial role in improving the efficiency of vehicles
within urban traffic networks. It is widely adopted in the field of arterial and network traffic signal control. However,
traditional bandwidth-based network control methods mostly focus on optimizing coordination variables, such as
offsets and phase sequences, after the coordinated paths are determined. This neglects the simultaneous optimization of
path selection and coordination variables, resulting in limited coordination effectiveness and challenges in catering to
the varied control requirements of different coordination paths. To address these issues, this paper focuses on the
concurrent optimization of path selection and bandwidth-based coordination within an unclosed traffic network. The
coordination path is taken as a decision variable and optimized concurrently with offsets and phase sequences. The
choice sets for coordination paths and coordination path pairs are determined through an analysis of the inflow and
outflow relationships of traffic movements between adjacent intersections. The optimization objective is to maximize
the sum of weighted bandwidth. To capture the spatial and temporal constraints involving bandwidth, coordinated path
pairs, offsets, phase sequences, travel time, and red and green time, a time- space diagram is employed. In addition,
binary variables are introduced to formulate optimization constraints for the coordination path pairs. The simultaneous
optimization of path selection and bandwidth-based coordination is formulated as a mixed-integer nonlinear
programming problem. The results of a numerical example demonstrate that, when compared to the traditional
bandwidth- based model that focuses on coordinating through paths, the proposed model automatically selects key
coordination paths with higher traffic volumes in the traffic network. Consequently, the sum of weighted bandwidths
generated by this model at the network level increases by 14.16% , and the sum of weighted bandwidths on four
arterials sees improvements of 17.26%, 20.68%, -0.29%, and 39.19%, respectively.
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