Service level evaluation of signalized intersection based on trapezoid whitenization weight function
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摘要: 对信号交叉口服务水平的内涵和外延做了分析, 借鉴灰色聚类的思想, 用灰数表示评价指标和聚类阈值, 构建了基于梯形白化权函数的灰数表达公式和聚类模型, 利用道路信号交叉口的交通特性和可比较原则, 提出一种基于正态分布3σ原则和1.23σ原则的灰数取值方法, 并用所建模型对3个信息号交叉口服务水平进行聚类评价。结果表明: 交叉口A1、A2、A3的最大聚类值分别为[0.416, 0.839]、[0.202, 0.728]、[0.413, 0.645], 服务水平从优到劣排序为A1、A3、A2, 实例说明所建模型和灰数取值方法合理有效。Abstract: The connotation and extension of service level for signalized intersection were analyzed, grey number was adopted to express the evaluation indices and clustering thresholds by using grey clustering idea. Grey number formula and clustering model were built based on trapezoid whitenization weight function. A revised method was given to determine grey number value and was approximately described by 3σ and 1.23σ principles of normal distribution in view of the traffic characteristics of signalized intersection. The service levels of 3 signalized intersections were evaluated by using the model. Analysis result shows that maximum clustering values of intersection A1, A2 and A3 are respectively [0.416, 0.839], [0.202, 0.728] and [0.413, 0.645], the grades of service levels form high to low are A1, A3 and A2, so clustering model and grey number formula are reasonable and effective.
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表 1 中国常用信号交叉口服务水平评价指标和评价标准
Table 1. Indexes and criterions of service level on signalized intersection in China
服务水平指标 1级 2级 3级 4级 5级 交通负荷系数 < 0.6 0.6~0.7 0.7~0.8 0.8~0.9 > 0.9 效率系数 > 0.80 0.65~0.80 0.50~0.65 0.35~0.50 < 0.35 交叉口受阻车辆比例/% < 10 10~15 15~20 20~30 > 30 平均停车延误/s < 30 30~40 40~50 50~60 > 60 排队长度/m < 30 30~60 60~80 80~100 > 100 
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表 2 改进的信号交叉口服务水平评价标准
Table 2. Modified criterions of service level on signalized intersection
服务水平指标 权重ωj 交通负荷系数 0.242 [0.52, 0.58] [0.62, 0.68] [0.72, 0.78] [0.82, 0.88] [0.92, 0.98] 效率系数 0.097 [0.83, 0.92] [0.68, 0.77] [0.53, 0.62] [0.38, 0.47] [0.23, 0.32] 交叉口受阻车辆比例/% 0.161 [2, 8] [11, 14] [16, 19] [22, 28] [32, 38] 停车延误/s 0.306 [22, 28] [32, 38] [42, 48] [52, 58] [62, 68] 排队长度/m 0.194 [14, 26] [36, 54] [64, 76] [84, 96] [104, 116]
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表 3 3个信号交叉口服务水平评价指标值
Table 3. Index values of service levels on three signalized intersections
编号 交叉口名称 交通负荷系数 效率系数 交叉口受阻车辆比例/% 平均停车延误/s 排队长度/m A1 东风东街—北海路 [0.703, 0.742] [0.572, 0.637] [32.1, 36.4] [44.2, 50.1] [57.2.64.3] A2 健康西街—和平路 [0.894, 0.926] [0.317, 0.364] [56.2, 62.5] [54.5, 60.5] [79.6, 86.4] A3 健康街—潍州路 [0.826, 0.853] [0.423, 0.486] [42.3, 48.7] [49.3, 55.4] [66.8, 75.2]
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表 4 聚类评价结果
Table 4. Results of clustering evaluation
交叉口 1级 2级 3级 4级 5级 最大值 归属 A1 [0, 0] [0, 0.262] [0.416, 0.839] [0, 0.161] [0.161, 0.161] [0.416, 0.839] 3级 A2 [0, 0] [0, 0] [0, 0.107] [0.202, 0.728] [0.272, 0.691] [0.202, 0.728] 4级 A3 [0, 0] [0, 0] [0.194, 0.426] [0.413, 0.645] [0.161, 0.161] [0.413, 0.645] 4级
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