Homework

1. Identify five independent variables that you believe affect trip generation. Pose hypotheses about how each variable affects number of trips generated.

2. Identify three different types of trip distribution models. Which one includes the most information? Which one is most common?

3. You are given the following situation: The towns of Saint Cloud and Minneapolis, separated by 110 km as the crow flies, are to be connected by a railroad, a freeway, and a rural highway. Answer the following questions related to this problem

Trip Generation and Distribution

Your planners have estimated the following models for the AM Peak Hour

${\displaystyle T_{O,i}=500+0.5*HH_{i}}$

${\displaystyle T_{D,j}=250+0.5*OFFEMP_{j}+0.355*OTHEMP_{j}+0.094*RETEMP_{j}}$

Where: ${\displaystyle T_{O,i}=}$Person Trips Originating in Zone i

${\displaystyle T_{D,j}=}$Person Trips Destined for Zone j

${\displaystyle HH_{i}=}$ Number of Households in Zone i

${\displaystyle OFFEMP_{j}=}$Office Employees in Zone j

${\displaystyle OTHEMP_{j}=}$Other Employees in Zone j

${\displaystyle RETEMP_{j}=}$Retail Employees in Zone j

Your are also given the following data

	Saint Cloud	Minneapolis
${\displaystyle HH_{i}}$	47,604	476,040
${\displaystyle OFFEMP_{j}}$	33,675	336,750
${\displaystyle OTHEMP_{j}}$	14,500	145,000
${\displaystyle RETEMP_{j}}$	22,000	220,000

The travel time between zones (in minutes) is given by the following matrix:

(a) (10) What are the number of AM peak hour person trips originating in and destined for Saint Cloud and Minneapolis.

(b) (10) Assuming the origins are more accurate, normalize the number of destination trips for Saint Cloud and Minneapolis.

(c) (10) Assume a gravity model where the impedance ${\displaystyle f(C_{ij})=C_{ij}^{-2}}$. Estimate the proportion of trips that go from Saint Cloud to Minneapolis. Solve your matrix within 5 percent of a balanced solution.