(Solved): Problem 4(25%) - Consider the problem of a town served by a bypass and a town-center route as illus ...

Problem $4(25\%)$ - Consider the problem of a town served by a bypass and a town-center route as illustrated in the figure below. Assume that there are 2,500 trips from A to B and the travel time via the bypass $\left({\mathrm{t}}_{\mathrm{b}}\right)$ and the town-center $\left({\mathrm{t}}_{\mathrm{t}}\right)$ routes can be determined by Equations (1) and (2): $\begin{array}{l}{t}_b=16.25+0.005\times V_b\\ t_t=1.0+0.02\times V_t\end{array}$ where $t_b=$ travel time (minutes) via the bypass route $t_t=$ travel time (minutes) via the town-center route $V_b=$ the flow of the bypass route $V_t=$ the flow of the town-center route (a) Use a table to summarize the steps in the method of successive averages (MSA) algorithm with 10 iterations (i.e. assume $?=1/n$ where $n=10$ ) (b) Discuss the flows of both routes to achieve user equilibrium.