Application of Modified NSGA-II to the Transit Network Design Problem

Table 11

Operator perspective results compared to other approaches for Mumford’s networks.

Network	Parameters	Mumford [27]	John et al. [43]	Kılıç [42]	Ahmed and Lee [36]	Ahmed et al. [38]	NSGA-II with variable |R|
Mumford0	D0 (%)	18.42	—	25.51	16.99	14.61	39.96
	D1 (%)	23.4	—	16.55	30.72	31.59	46.8
	d2 (%)	20.78	—	21.38	28.92	36.41	13.23
	dun (%)	37.4	—	36.55	23.38	17.37	0
	ATT	32.4	30.06	40.8	33.41	26.32	25.23
	TRL	111	95	112	107	94	95
Mumford1	d0 (%)	16.35	—	19.7	22.39	18.02	29.08
	d1 (%)	29.06	—	32.29	40.57	29.88	42.01
	d2 (%)	29.93	—	30.01	34.33	31.9	23.57
	dun (%)	24.66	—	18	2.71	20.19	5.34
	ATT	34.69	47.14	41.67	31.15	39.45	46.75
	TRL	568	448	572	567	408	276
Mumford2	d0 (%)	13.76	—	15.62	15.32	13.63	16.06
	d1 (%)	27.69	—	38.07	29.31	23.58	41.25
	d2 (%)	29.53	—	33.7	31.08	23.94	32.39
	dun (%)	29.09	—	12.62	24.29	38.82	10.29
	ATT	36.54	35.08	35.87	34.52	46.86	43.67
	TRL	2244	1691	2078	2305	1330	497
Mumford3	d0 (%)	16.71	—	14.24	25.42	16.28	17.44
	d1 (%)	33.69	—	33.44	41.26	24.87	44.22
	d2 (%)	29.18	—	34.1	24.91	26.34	31.19
	dun (%)	20.42	—	18.22	8.41	32.44	7.16
	ATT	36.92	46.58	39.42	34.81	46.05	45.11
	TRL	2830	2030	2782	2732	1746	663