A doube-constrained gravity model is proposed to generate a 3x3 trip distribution matrix. The expected total trip productions are 0₁ = 250, O₂ = 415, and O3 = 395, and 1 (in hours). The average travel time within the same zone is 30min for all three zones and the average travel time between different zones is 1h for all pairs of different zones. Using the Furness algorithm with a convergence criterion of €=0.001, determine the final expected number of trips from origin zone 3 to destination zone 1. Round the number of trips to the nearest whole number. O a. 98 trips O b. 68 trips = the expected trip attractions are D₁-340, D2=285, and D3= 435. A cost function is specified as f(c) = O 74 trips O d. 47 trips O e. 26 trips , where 2' e cij is the average travel time frrom zone i to zone j ij

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QUESTION 4
A doube-constrained gravity model is proposed to generate a 3x3 trip distribution matrix. The expected total trip productions are 0₁ = 250, O₂ = 415, and O3 = 395, and
1
the expected trip attractions are D₁-340, D2-285, and D3= 435. A cost function is specified as f (c.) = , where cij is the average travel time frrom zone i to zone j
2'
(in hours). The average travel time within the same zone is 30min for all three zones and the average travel time between different zones is 1h for all pairs of different
zones.
Using the Furness algorithm with a convergence criterion of €=0.001, determine the final expected number of trips from origin zone 3 to destination zone 1. Round the
number of trips to the nearest whole number.
O a. 98 trips
O b. 68 trips
O C. 74 trips
d. 47 trips
O e. 26 trips
Transcribed Image Text:QUESTION 4 A doube-constrained gravity model is proposed to generate a 3x3 trip distribution matrix. The expected total trip productions are 0₁ = 250, O₂ = 415, and O3 = 395, and 1 the expected trip attractions are D₁-340, D2-285, and D3= 435. A cost function is specified as f (c.) = , where cij is the average travel time frrom zone i to zone j 2' (in hours). The average travel time within the same zone is 30min for all three zones and the average travel time between different zones is 1h for all pairs of different zones. Using the Furness algorithm with a convergence criterion of €=0.001, determine the final expected number of trips from origin zone 3 to destination zone 1. Round the number of trips to the nearest whole number. O a. 98 trips O b. 68 trips O C. 74 trips d. 47 trips O e. 26 trips
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