Question 2: Trip Distribution (15 points)

Three zones A, B and C are connected by unidirectional road links as shown below. The travel time (minutes) between the zones are indicated in the figure. Assume that all intra-zonal travel times are equal to 5minutes.

The trip production and attraction are given in the table below.

Further, the friction factor from zone to is defined as a function of travel time as given in the figure below.

a. (10 points) Determine the trip distribution using a gravity model before applying row and column factoring. Include intrazonal trips (provide 2dp)

b. (5 points) Determine the trip distribution matrix after one iteration of column and row factoring (i.e., do one iteration of column factoring and one iteration of row factoring. (provide 2dp)

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