Given the data provided on three zones, use the gravity model to distribute the forecasted trip

productions and attractions among the three zones. Calibrate the model first using the base$-$year

data which requires the determination of a socioeconomic factor after the first iteration which is

equal to $(T_{ij}$ Observed$/T_{ij}$ Calculated$)$ then complete a second iteration using the socioeconomic

factor in the calculations to assure your model equals the base year trips. Then apply the model

with the calculated socioeconomic factor to the horizon year to determine the trips between

zones. For the forecasted conditions, complete only two iterations of the gravity model. $(20$ pts$)$

Using the data provided, use the Detroit Model to update the $T_{ij}$ Matrix $(2$ iterations only$).$ Use

the ratio of the horizon year and the base year Productions as the growth factor in the i direction

and the corresponding attractions ratio as the growth factor for the j direction. $(10$ pts$)$

A study area consisting of three zones with the provided data for the Travel Demand $($Tij$)$ and

travel time $($tij$).$ Using the data, develop the model parameters $K$ and $$ of the Logarithmic Trip

Distribution Model and develop the Travel Demand Matrix. $(20$ pts$)$