Question 1: Traffic Flow Theory (20 points)

A survey team collected traffic data between two points of a highway, XX and YY, 450m apart. Observations at XX show that five vehicles passed that location at intervals of 3, 4, 3, and 5 sec, respectively. The speeds of the vehicles at point XX were 84, 72, 63, 56.2, and 52 km/h respectively. Assume that the vehicles maintain these speeds whilst approaching YY.

Please provide the following information (Provide 2dp);

a. (5 points) Fill in the distance values in the schematic below showing the locations of the five vehicles 20 sec after the first vehicle passed location XX. (Note: the distances are not drawn to scale

b. (4 points) Calculate the time mean speed.

c. (4 points) Calculate the space mean speed.

d. (4 points) Calculate the density between XX and YY on the highway using the fundamental traffic equation.

 e. (3 points) Determine the space (time) mean speed using the empirical relationship: v_t=0.966v_s+3.541. Compare your answer with that obtained in part (c) and quantify the differences. Is it significant?

(You need not enter the answers in the box provided below)

There are three routes available to the travellers between a single OD pair. For each case below, you are given the travel time t on each route, as well as the number of travellers x using each route. Select the case that satisfies the principle of user equilibrium.

Which of the following situation(s) depict the case of a collision?

Which of the following situation(s) depict the case of a collision?

Which of the following situation(s) depict the case of a collision?

Which of the following situation(s) depict the case of a collision?

A two-lane road has a link cost function where is the flow on the link. The transport agency later decided to augment another lane to this road. The new cost function is now observed to be . What should be the appropriate relationship(s) among the parameters? Select all that apply. Partially correct answer will not fetch any mark.

A mode m will be selected if its utility is lower than the utility of any other mode in the choice set.

Which of the following statement(s) is/are true for the iterative UE approach. Select all that apply.  Partially correct answer will not fetch any mark.

Provision of tolls on roads is done to achieve Braess’ Paradox in the road network.