Travel Time Model of Left-Turning Vehicles at Signalized Intersection

Table 1

Model validation data.

Serial number	Δ(s)	𝛼	𝑞𝑙 (veh/s)	𝑞 (veh/s)	ℎ𝑓(𝑠)	𝜏(s)	Field (s)	Model I		Model II
								Theoretical (s)	Relative error (%)	Theoretical (s)	Relative error (%)
1	2.0	0.21	0.1	0.18	2.0	3.8	60.1	68.7	14.3	74.9	24.7
2	2.0	0.31	0.07	0.15	2.0	3.8	50.3	58.0	15.3	68.3	35.8
3	2.0	0.60	0.02	0.09	2.0	3.8	51.8	44.8	13.4	59.7	15.3
4	1.9	0.19	0.10	0.20	2.0	3.9	59.2	76.6	29.4	86.0	45.3
5	1.9	0.61	0.05	0.11	2.0	3.9	34.1	31.2	8.6	39.5	15.9
6	1.9	0.53	0.06	0.13	2.0	3.9	36.6	31.8	13.2	41.6	13.6
7	2.2	0.21	0.07	0.16	2.3	4.3	58.9	64.5	9.5	84.8	44.0
8	2.2	0.50	0.08	0.12	2.3	4.3	59.2	56.1	5.3	64.3	8.6
9	2.2	0.62	0.03	0.08	2.3	4.3	55.0	46.8	14.8	57.0	3.7
10	2.1	0.21	0.08	0.17	2.3	4.3	50.7	53.8	6.1	76.9	51.7
11	2.1	0.53	0.06	0.12	2.3	4.3	44.8	41.9	6.7	52.9	17.8
12	2.1	0.60	0.04	0.10	2.3	4.3	44.7	33.2	25.7	44.5	0.5
13	2.4	0.28	0.07	0.15	2.6	5.1	61.0	67.5	10.6	108.3	77.6
14	2.4	0.59	0.05	0.10	2.6	5.1	67.1	60.6	9.7	73.0	8.8
15	2.4	0.61	0.03	0.09	2.6	5.1	55.9	50.3	10.1	66.7	19.4
16	2.5	0.23	0.07	0.15	2.7	5.3	70.0	66.5	5.0	119.5	70.8
17	2.5	0.53	0.06	0.13	2.7	5.3	73.8	64.2	13.0	91.4	23.9
18	2.5	0.59	0.04	0.11	2.7	5.3	46.0	37.0	19.6	59.0	28.3
19	2.8	0.57	0.03	0.11	3.0	5.9	42.2	40.5	4.1	82.4	95.3
20	2.8	0.52	0.06	0.13	3.0	5.9	51.9	49.4	4.9	103.3	99.0
21	2.8	0.61	0.03	0.08	3.0	5.9	46.0	39.3	14.5	56.9	23.6
22	3.2	0.53	0.05	0.12	3.4	6.1	60.5	46.0	23.9	109.7	81.3
23	3.2	0.62	0.04	0.10	3.4	6.1	37.3	44.3	18.7	75.9	103.6
24	3.2	0.6	0.03	0.07	3.4	6.1	39.9	43.2	8.3	59.5	49.2
25	2.3	0.27	0.05	0.14	2.9	5.2	51.6	45.1	12.6	95.6	85.3
26	2.3	0.59	0.06	0.12	2.9	5.2	56.2	47.5	15.4	69.7	24.0
27	2.3	0.63	0.04	0.08	2.9	5.2	43.2	39.1	9.4	50.4	16.7
28	2.9	0.55	0.05	0.11	3	6.3	53.1	42.9	19.1	72.9	37.2
29	2.9	0.60	0.03	0.08	3.0	6.3	45.3	41.4	8.6	60.1	32.7
30	2.9	0.65	0.03	0.06	3.0	6.3	35.8	40.8	14.1	51.4	43.6