Fare Optimality Analysis of Urban Rail Transit under Various Objective Functions

Table 2

Optimization results of different models.

Fare structure	Models
	M1		M2		M3		M4
	FF	DBF	FF	DBF	FF	DBF	FF	DBF
Fare (¥)	5.05	2.00 + 0.28	8.45	1.98 + 0.27	3.44	2.00 + 0.05	8.45	0.35
Headway (min)	5.27	5.02	11.96	5.20	3.72	3.73	11.90	5.27
Demand (10^3 pass.)	57.35	74.04	3.30	75.07	80.78	94.94	3.40	92.75
Objective function value (10^3)	59.79	16.83			299.34	274.62	213.26	296.83
Fare rate (¥/pass.-km)	0.81	0.66	1.68	0.64	0.55	0.38	1.67	0.35
Maximum section demand (10^3 pass)	14.34	16.52	0.72	16.85	20.25	23.30	0.75	20.50
Turnover volume (10^4 pass.-km)	35.97	38.89	1.66	39.91	50.85	58.32	1.72	48.49
Average riding distance (km)	6.27	5.25	5.03	5.32	6.29	6.14	5.06	5.23
Maximum passenger density of section (10^3 pass.-km)	2.69	3.47	0.16	3.52	3.78	4.44	0.16	4.34
Maximum section load rate (%)	94.85	109.23	11.47	111.42	94.56	108.80	9.87	135.57