Question C please. What is the diffrence between the totla travel time of system optimal vs UE?
Problem 1 (30%) Consider the following static route choice problem where 110 vehicles travel from point A to point B. The corresponding travel time (in minutes) of each link is as follows: t1 =x1,t2 =x2 +20: t3 =X3 + 10, t4, =31" where x: denotes the number of vehicles that choose link i. Find the number of vehicles that travel on each link when a. The user equilibrium condition (UE) is satisﬁed, where vehicles select the route with the minimum travel time; and b. The system optimum condition (50) is satisfied, where the total travel time is minimised. c. Report the total delay savings when satisfying 50 instead of UE.
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