Convergence Study of Minimizing the Nonconvex Total Delay Using the Lane-Based Optimization Method for Signal-Controlled Junctions

Table 2

Optimization results from the cutting plane algorithm.

Optimal cycle length = 71.24 seconds
(2.1)	(2.2)	(2.3)–(2.6)				(2.7)	(8)	(2.8)	(2.9)	(2.10)	(2.11)	(2.12)	(2.13)
From arm	Lane	To arm				Sum of lane flow	Turning proportion	Saturation flow	y	Effective green	Degree of sat.	Green start	Total delay
		1	2	3	4
1	1		241.4			241.4	1.00	1746.7	0.1382	27.8	0.3541	0.0	1.0148
1	2		258.6			258.6	1.00	1871.1	0.1382	27.8	0.3541	0.0	1.0808
1	3			200.0		200.0	0.00	2105.0	0.0950	11.0	0.6129	16.8	1.8419
1	4				100.0	100.0	1.00	1871.1	0.0534	6.0	0.6346	35.4	1.2849
2	1			48.3		48.3	1.00	1746.7	0.0276	9.4	0.2086	56.8	0.3575
2	2			51.7		51.7	1.00	1871.1	0.0276	9.4	0.2086	56.8	0.3812
2	3				500.0	500.0	0.00	2105.0	0.2375	19.9	0.8514	46.4	5.2316
2	4	100.0				100.0	1.00	1871.1	0.0534	11.8	0.3238	0.0	0.7256
3	1				300.0	300.0	1.00	1746.7	0.1718	30.4	0.4029	0.0	1.1842
3	2	300.0				300.0	0.00	2105.0	0.1425	13.6	0.7462	16.8	3.0261
3	3		150.0			150.0	1.00	1871.1	0.0802	8.6	0.6669	32.8	1.7250
3	4		150.0			150.0	1.00	1871.1	0.0802	8.6	0.6669	32.8	1.7250
4	1	100.0				100.0	1.00	1746.7	0.0573	30.9	0.1321	35.4	0.3123
4	2		400.0			400.0	0.00	2105.0	0.1900	19.9	0.6811	46.4	2.9411
4	3			200.0		200.0	1.00	1871.1	0.1069	11.8	0.6475	71.2	1.9255
4	4			200.0		200.0	1.00	1871.1	0.1069	11.8	0.6475	71.2	1.9255
													26.6830