Problem 2. Trip Distribution: Growth Factor Model (a) By hand, estimate a doubly

Question

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

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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

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