CSE516 Urban Transport Planning - Theory and Practice Assignment 2: Four-step Model
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CSE516 Urban Transport Planning - Theory and Practice
Assignment 2: Four-step Model
Question 1
The following table shows the generalized cost matrix and target trips generated/attracted by each of the origin/destination. Given the impedance function of c0.5 exp (−0. 1c) , where c is the OD generalized travel cost, calibrate the OD matrix using Furness method with 3 iterations.
|
From/To |
Tuen Mun |
Wan Chai |
Shatin |
Hung Hom |
TST |
Target |
|
Tuen Mun |
4.5 |
10 |
20 |
15 |
12 |
12355 |
|
Wan Chai |
10 |
3 |
15 |
10 |
8 |
9800 |
|
Shatin |
20 |
15 |
4 |
8 |
8 |
16225 |
|
Hung Hom |
15 |
10 |
8 |
2.5 |
4 |
10100 |
|
TST |
12 |
8 |
14 |
4 |
1.5 |
4720 |
|
Target |
6175 |
9025 |
4275 |
16625 |
17100 |
|
Question 2
You are a member of a transport consultant team which is responsible for estimating the mode choice for the Guangzhou-Shenzhen-Hong Kong express-rail link. A stated preference (SP) survey was carried out in which a part of the responses to the SP questionnaire is shown in Table below.
|
Person |
Express-rail (ER) |
Normal-rail (NR) |
Choice |
||
|
Travel time (min) |
Fare ($HK) |
Travel time (min) |
Fare ($HK) |
||
|
1 |
47 |
170 |
70 |
140 |
ER |
|
2 |
46 |
170 |
90 |
110 |
NR |
|
3 |
55 |
120 |
60 |
83 |
NR |
(i) Assume that the utility functions for travelling by ER and NR are:
VER = 91 − 92 tER − CER
VNR = −92 tNR − CNR
where 91 is the alternative specific constant (ASC)
92 is the value of time
tER and tNR are travel times by express-rail and normal-rail respectively CER and CNR are fares of express-rail and normal-rail respectively
Estimate 91 and 92 using the maximum likelihood method (no requirement to simplify the log-likelihood formulation). (Assuming the dispersion factor of the logit model is 1)
Question 3
Consider a highway network as shown in Figure 1 below. Demand for this network (A→D) is 1500 vehicle/hr and the required link travel time functions (in minutes) are shown next to each of the links.
t2 = 6 + | 2 |
90 )
Figure 1
With the about network, demand and link travel time functions, calculate the exact equilibrium flows on each links. You should also calculate the link travel time of each link and check the path travel times.
2022-10-27