Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression

Abstract

The graphical progression method can obtain grand coordinated schemes with minimal computational complexity. However, there is no standardized solution for this method, and only a few related studies have been found thus far. Therefore, based on the in-depth discussion of the graphical optimization theory mechanism, a process-oriented and high-efficiency graphical method for symmetrical bidirectional corridor progression is proposed in this study. A two-round rotation transformation optimization process of the progression trajectory characteristic lines (PTC lines) is innovatively proposed. By establishing the updated judgment criteria for coordinated mode, the first round of PTC line rotation transformation realizes the optimization of coordinated modes and initial offsets. Giving the conditions for stopping rotation transformation and determining rotation points, rotation directions, and rotation angles, the second round of PTC line rotation transformation achieves the final optimization of the common signal cycle and offsets. The case study shows that the proposed graphical method can obtain the optimal progression effect through regular graphing and solving, although it can also be solved by highly efficient programming.

Method of Bidirectional Green Wave Coordinated Control for Arterials under Asymmetric Release Mode

“…Qu et al [19] constructed an optimization model of the offset for an artery based on traffic wave theory. A phase sequence adjustment method for improving the bandwidth of green band in bidirectional green wave control was proposed by Zhang [20], and a process-oriented and high-efficiency graphical method for symmetrical bidirectional corridor progression was proposed by Lu et al [21]. Moreover, signal retiming and optimization processes have been improved in innovative ways based on advances in data-driven and traffic simulation tools [22][23][24].…”

Arterial Signal Offset Optimization Using Crowdsourced Speed Data

“…One traditional bandwidth maximization model, MAXBAND, was proposed to maximize bandwidths via modifying offsets, as well as cycle time and phasing sequence ( 15 ). Then, many researchers extended this method to consider more detailed attributes, such as volume changes between intersections ( 16 , 17 ), adjusted speed ranges ( 18 , 19 ), cycle time optimization ( 15 , 16 ), and phasing sequence selection for each intersection ( 20 , 21 ). For the abovementioned bandwidth maximization methods, they focus on the traffic flow from a major road, assuming that the traffic flow from side streets is negligible ( 22 ).…”