Designing a Rotary Traffic Flow Model: Variables and Flow Chart Example

[sapiental]

Homework Statement

Hi, I'm designing a traffic flow model of a rotary and created a basic flow chart. I have 10 variables in it. 1 variable is the total flow of vehicles per hour in the rotary = x_8

7 other variables are all dependent on x_8 with x_4 = x_8

but x_8 is also dependent on 2 other independent variables. s and t

what I have doe basically created a flow in and out of the rotary. but, s,t are independent variables. My professor asked to create an example of the flow.

Since s and t are independent values. can i just say that they are generated by some function. he doesn't ask for the functions specifically, rather how they would add to the flow.

Can I say that t is the amount of flow in the inner rotary

and s is the flow of cars trying to switch into different lanes or exists?

since the total flow added orsubtracted from the system is x_8 = 2t - s

i set this model up so that flow in any direction is always positive since u can't have negative cars per hour.

Thanks

 

[lippyka]

!Homework Equations x_8 = 2t - sThe Attempt at a SolutionYes, you can say that t is the amount of flow in the inner rotary and s is the flow of cars trying to switch into different lanes or exits. This makes sense because the total flow added or subtracted from the system is x_8 = 2t - s. By setting up the model so that the flow in any direction is always positive, you are ensuring that the values of x_8 and the other variables remain positive.