Research Article

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

Table 9

Operator perspective results compared to other approaches for Mandl’s network.

|R|IndicatorsMumford [27]Chew et al. [32]John et al. [43]Kılıç [42]Ahmed and Lee [36]Ahmed et al. [38]NSGA-II with fixed |R|NSGA-II with variable |R|

4d0 (%)61.0861.0848.8161.0856.6547.40
d1 (%)36.6136.6145.5436.6141.5546.05
d2 (%)2.312.315.332.311.806.55
dun (%)000.32000.00
ATT13.8813.8814.6713.8813.2915.49
TRL636363636865.00

6d0 (%)70.9170.9170.9170.4662.2363.84|R| = 3
d1 (%)25.525.525.524.3427.1627.62
d2 (%)2.952.952.955.29.578.09
dun (%)0.640.640.6401.030.45
ATT13.4813.4813.4813.4812.614.2814.19
TRL63636363636369

7d0 (%)65.1370.6570.6568.9657.55
d1 (%)22.9321.1321.1326.2933.27
d2 (%)10.347.137.133.928.73
dun (%)1.611.091.090.830.45
ATT14.2513.7613.7613.4613.92
TRL6363636371

8d0 (%)57.9361.9143.9360.7636.48
d1 (%)31.9229.6721.5225.6344.32
d2 (%)9.76.8714.9610.3411.11
dun (%)0.451.5419.593.268.09
ATT14.4514.2217.9514.7815.76
TRL6363636370