Traffic Flow - Junction, Delay, Webster, Greatest Upper Bound

In summary, the conversation is about determining the effective green time during a cycle, given certain values for q, c, and s. There is confusion about the relationship between c and g, with some believing c = g+10 and others thinking c = 2g+10. The conclusion is that the greatest lower bound for c is 200/13, assuming c is positive.
  • #1
MidnightR
42
0
[PLAIN]http://img96.imageshack.us/img96/7816/12530747.jpg

Hopefully this will post successfully...

Erm its the first part I'm not sure on, after that it's easy. I'm just not understanding the wording.

I need to work out the effective green time during the cycle
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
I believe since q = 0.7 then g > or = 0.35c what would this make the greatest lower bound? g = 0.35c?
 
Last edited:
  • #3
Think I got it,

c=? q=0.7 s=2 therefore

g/c <=1
0.35c/g <= 1

therefore

g <= c <= g/0.35

we know c = g +10 so g= 10-c & sub in

c-10 <= c <= (c-10)/0.35

so assuming c is positive then

c >= 200/13 so take greatest lower bound = 200/13

however I'm still not sure that c = g+10 rather than c=2g+10
 
Last edited:

FAQ: Traffic Flow - Junction, Delay, Webster, Greatest Upper Bound

What is traffic flow?

Traffic flow refers to the movement of vehicles on a road network at a given time.

What is a junction in traffic flow?

A junction is a point where two or more roads intersect, and vehicles must navigate to continue on their desired route.

What is delay in traffic flow?

Delay in traffic flow refers to the amount of time a vehicle spends traveling below its desired speed or stopped due to congestion or other factors.

What is the Webster method in traffic flow analysis?

The Webster method is a mathematical model used to predict the delay at a junction based on the number of vehicles entering and exiting the junction, and the green time of the traffic signal.

What is the greatest upper bound in traffic flow?

The greatest upper bound in traffic flow is the maximum possible delay that can occur at a junction, taking into account all the vehicles and the signal timing.

Similar threads

Replies
0
Views
4K
Replies
48
Views
62K
Replies
2
Views
7K
Replies
7
Views
3K
Replies
7
Views
3K
Replies
2
Views
4K
Replies
29
Views
6K
Back
Top