I along with the mentors have decided to change the scope of the project.
It turned out, that for making the proposal idea work, pgRouting needs some functionality that it does not have currently.
What did you get done this week?
This week, I completed the documentation of pgr_lineGraph. Also, fixed a major bug in its implementation.
What am I going to achieve for next week?
In the coming week, I'll be working on the implementation of Dijktra that considers costs on vertices.
Details of possible sub tasks can be found in 
Is there any blocking issue?
No, I am not blocked currently.