A new MRT system is being constructed in Kota Kinabalu, Malaysia. The document analyzes how fare prices and travel times impact ridership share based on data collected. Logistic regression models are developed to model the relationship between fare price and ridership share and between travel time and ridership share. The models show good fit with the data and can be used to predict ridership share based on fare price or travel time.

1. KA43203 - TRANSPORTATION ENGINEERING
TUTORIAL 2
LECTURER: DR MOHD AZIZUL BIN LADIN
NAME MATRIX NO.
DG UMI SUMIRAH BINTI RAHMAN BK15110070

2. Tutorial 2
A MRT system will be constructed in KK. Based on the data collection in Figure 1, please determine the
transportation logistic model based on each variables respectively.
Fare (RM) Share MRT (%) Travel Time (m) Share MRT (%)
2 90 5 90
2.5 85 8 82
3 70 10 73
3.5 60 13 58
3.8 55 15 55
4 50 18 45
4.5 35 20 35
4.8 30 25 28
5 25 30 25
Note: Time and Fare are based on UMS to KK journey
1.0 Fare (RM)
Fare (RM) Share MRT (%) P 1-P (1-P)/P Ln(1-P)/P
2 90 0.9 0.1 0.1111111111 -2.197224577
2.5 85 0.85 0.15 0.176470588 -1.734601055
3 70 0.7 0.3 0.428571429 -0.84729786
3.5 60 0.6 0.4 0.666666667 -0.405465108
3.8 55 0.55 0.45 0.818181818 -0.200670695
4 50 0.5 0.5 1 0
4.5 35 0.35 0.65 1.857142857 0.619039208
4.8 30 0.3 0.7 2.333333333 0.84729786
5 25 0.25 0.75 3 1.098612289
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P
Fare (RM)
S-Curve of P vs Fare (RM)

3. Ln D= -4.32369
D= 0.013251
Alpha= 1.090419
P= 1/(1+0.013251^1.090419x)
P= 0.894999
Fare (RM) P Model P
2 0.9 0.8949988674
2.5 0.85 0.83168822
3 0.7 0.741241218
3.5 0.6 0.624154575
3.8 0.55 0.544902269
4 0.5 0.490503737
4.5 0.35 0.358196758
4.8 0.3 0.286933301
5 0.25 0.244454823
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1 1.5 2 2.5 3 3.5 4 4.5 5 5.5
Fare (RM)
S-Curve of P vs Fare (RM)
P Model P

4. 2.0 Travel Time (m)
Travel Time (m) Share MRT (%) P 1-P (1-P)/P Ln(1-P)/P
5 90 0.9 0.1 0.111111111 -2.197224577
8 82 0.82 0.18 0.219512195 -1.516347489
10 73 0.73 0.27 0.369863014 -0.994622575
13 58 0.58 0.42 0.724137931 -0.322773392
15 55 0.55 0.45 0.818181818 -0.200670695
18 45 0.45 0.55 1.222222222 0.200670695
20 35 0.35 0.65 1.857142857 0.619039208
25 28 0.28 0.72 2.571428571 0.944461609
30 25 0.25 0.75 3 1.098612289
Ln D= -2.390333
D= 0.091599
Alpha= 0.1329455
P= 1/(1+0.091599^0.1329455x)
P= 0.84885
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P
Travel Time (m)
S-Curve of P vs Travel Time (m)

5. Travel Time (m) P Model P
5 0.9 0.848849533
8 0.82 0.790305814
10 0.73 0.742858458
13 0.58 0.659719053
15 0.55 0.597762682
18 0.45 0.499328798
20 0.35 0.433256787
25 0.28 0.282255087
30 0.25 0.168257089
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S-Curve of P vs Travel Time (m)
P Model P