Problem 2 Trip Distribution Growth Factor Model a By hand es
Problem 2. Trip Distribution: Growth Factor Model (a) By hand, estimate a doubly-constrained (production and attraction constrained) growth factor model using the future year (2020) trip table shown in Table 2 and your projected productions and attractions found in Problem 1. Show ALL calculations for two iterations. one iteration includes a row and column factoring calculation. (b) Does the model converge after two iterations (ie, are estimated trips within 5% of the forecasted trips in each zone)? Table 2. HBW Trip Distribution Matrix (2010) From To 1 2 34 1 250 125 375 75 825 2 100 400 50 225 775 3 205 60 225 420 910 4 155 215 320 175 865 A (j) 710 800 970 895 3375
Solution
Solutions
| Question | |||||||||
| From/To | 1 | 2 | 3 | 4 | P(i) | 5% Production | |||
| 1 | 250 | 125 | 375 | 75 | 825 | 866.25 | |||
| 2 | 100 | 400 | 50 | 225 | 775 | 813.75 | |||
| 3 | 205 | 60 | 225 | 420 | 910 | 955.5 | |||
| 4 | 155 | 215 | 320 | 175 | 865 | 908.25 | |||
| A(j) | 710 | 800 | 970 | 895 | 3375 | ||||
| Attraction 5% | 745.5 | 840 | 1018.5 | 939.75 |
