QUESTION

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QUESTION 4 A doube-constrained gravity model is proposed to generate a 3×3 trip distribution matrix. The expected total trip productions are 01 = 250, O2 = 415, and 03 = 395, and 1 the expected trip attractions are D1=340, D2=285, and D3= 435. A cost function is specified as Æ’ (c) = where cij is the average travel time frrom zone i to zone j 21 C (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 O d. 47 trips O e. 26 trips

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