Assignment
description
Transcript of Assignment
![Page 1: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/1.jpg)
Assignment
![Page 2: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/2.jpg)
Where are we?
There are four scopes1. Logit2. Assignment Today!3. LUTI4. Other models and appraisal
![Page 3: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/3.jpg)
Where are we?
There are four scopes1. Logit2. Assignment Today!3. LUTI4. Other models and appraisal
Mostly Monday Dec 9
![Page 4: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/4.jpg)
Remember the four steps
• Trip generation• Trip distribution• Modal split• Assignment •Which route on a network?
•Traffic flow per link, transit stop etc
![Page 5: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/5.jpg)
Car assignmentnetwork definition
![Page 6: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/6.jpg)
From the real world…
![Page 7: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/7.jpg)
… to a network representation
![Page 8: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/8.jpg)
Definitions
![Page 9: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/9.jpg)
How do we choose route?
![Page 10: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/10.jpg)
How do people choose route?
![Page 11: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/11.jpg)
Volume-delay function
Several functional forms, see 10.1.3For instance famous ”BPR” used in the US
![Page 12: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/12.jpg)
All-or-nothing
• Use ”shortest path” (more generally, the one with least generalized cost)
• Allocate all demand to shortest path
• May not be the shortest anymore
![Page 13: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/13.jpg)
Supply and demand
and equilibrium?
![Page 14: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/14.jpg)
Supply and demand interaction
![Page 15: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/15.jpg)
EquilibriumWhat would make people change route?
•User equilibrium (Wardrops 1st principle):
-All used routes will take the same time
-No unused route will be take less time
•System optimum
-Minimum total travel time
The difference is known asPrice of Anarchy
![Page 16: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/16.jpg)
Graphical illustration
![Page 17: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/17.jpg)
An optimization approach
![Page 18: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/18.jpg)
A paradox
![Page 19: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/19.jpg)
![Page 20: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/20.jpg)
![Page 21: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/21.jpg)
![Page 22: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/22.jpg)
![Page 23: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/23.jpg)
Limitations
![Page 24: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/24.jpg)
Public transport assignment(transit assignment)
![Page 25: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/25.jpg)
![Page 26: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/26.jpg)
Definitions
![Page 27: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/27.jpg)
Factors of route choice for transit
![Page 28: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/28.jpg)
How to model?
![Page 29: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/29.jpg)
How to model?
![Page 30: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/30.jpg)
Different possible models
![Page 31: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/31.jpg)
Line choice model
![Page 32: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/32.jpg)
Strategy choice model
![Page 33: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/33.jpg)
Example
![Page 34: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/34.jpg)
![Page 35: Assignment](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815ea8550346895dcd35ef/html5/thumbnails/35.jpg)