I have been given problem of a road network as shown in picture. It shows a network of one-way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour.
There are two questions asked which I am trying to solve :-
1. Is it possible to close the road from A to B for construction and
keep traffic flowing on other streets? Justify your answer.
2. Suppose all the streets (from A to B, B to C etc.) are
bidirectional, leaving the other constants as it is along with the
direction, how to formulate the system of equations.
I have found the unknown flow rates and are coming as below :-
x1 = 50 + x6, x2 = 450 +x7, x3 = 750 - x6, x4 = 600 -x6 +x7, x5 = -50 +x7
where x6 and x7 are free variables.
How can I solve above two questions?