An intercity Model is given as followsWhereTij= daily demand for passengers between i and j (both directions)Pi=Population of city i in thousands, where (Pi > Pj)Pj= Population of city j in thousandsRDij = Minimum distance by road between I and j in Kmsαc = 3.6 x 10 -4 Find the total intercity passengers per day between the cities of Soweto and Mamelodi when the population of Soweto is 1.6 Million and the Population of Mamelodi 800,000. The road distance between them is 112kms. If the population of Soweto is estimated to grow by 2% P.a. and that of Mamelodi by 1.2% p.a. What will be the growth rate of passenger travel. If a new road is to be constructed in 10 years’ time which will reduce the distance between Soweto and Mamelodi to 80Kms.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
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Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...
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An intercity Model is given as follows
Where
Tij= daily demand for passengers between i and j (both directions)
Pi=Population of city i in thousands, where (Pi > Pj)
Pj= Population of city j in thousands
RDij = Minimum distance by road between I and j in Kms
αc = 3.6 x 10 -4


Find the total intercity passengers per day between the cities of Soweto and Mamelodi when the population of Soweto is 1.6 Million and the Population of Mamelodi 800,000. The road distance between them is 112kms.


If the population of Soweto is estimated to grow by 2% P.a. and that of Mamelodi by 1.2% p.a. What will be the growth rate of passenger travel.


If a new road is to be constructed in 10 years’ time which will reduce the distance between Soweto and Mamelodi to 80Kms.

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