TProblem

Planners have estimated the following models for the AM Peak Hour

${\displaystyle T_{O,i}=1.5*H_{i}\,\!}$

${\displaystyle T_{D,j}=(1.5*E_{off,j})+(1*E_{oth,j})+(0.5*E_{ret,j})\,\!}$

Where:

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

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

${\displaystyle H_{i}\,\!}$ = Number of Households in Zone ${\displaystyle i\,\!}$

You are also given the following data

Data

Variable	Dakotopolis	New Fargo
${\displaystyle H}$	10000	15000
${\displaystyle E_{off}}$	8000	10000
${\displaystyle E_{oth}}$	3000	5000
${\displaystyle E_{ret}}$	2000	1500

A. What are the number of person trips originating in and destined for each city?

B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.

Example

A. What are the number of person trips originating in and destined for each city?

Solution to Trip Generation Problem Part A

	Households (${\displaystyle H_{i}}$)	Office Employees (${\displaystyle E_{off}}$)	Other Employees (${\displaystyle E_{oth}}$)	Retail Employees (${\displaystyle E_{ret}}$)	Origins ${\displaystyle T_{O,i}=1.5*H_{i}}$	Destinations ${\displaystyle T_{D,j}=(1.5*E_{off,j})+(1*E_{oth,j})+(0.5*E_{ret,j})}$
Dakotopolis	10000	8000	3000	2000	15000	16000
New Fargo	15000	10000	5000	1500	22500	20750
Total	25000	18000	8000	3000	37500	36750

B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.

Use: ${\displaystyle \quad T_{D,j}^{'}=T_{D,j}{\frac {\sum \limits _{i=1}^{I}{T_{O,i}}}{\sum \limits _{j=1}^{J}{T_{D,j}}}}=>T_{D,j}{\frac {37500}{36750}}=T_{D,j}*1.0204\,\!}$

Solution to Trip Generation Problem Part B

	Origins (${\displaystyle T_{O,i}}$)	Destinations (${\displaystyle T_{D,j}}$)	Adjustment Factor	Normalized Destinations (${\displaystyle T_{D,j}'}$)	Rounded
Dakotopolis	15000	16000	1.0204	16326.53	16327
New Fargo	22500	20750	1.0204	21173.47	21173
Total	37500	36750	1.0204	37500	37500