8.18 Two routes connect an origin and a destination. Routes 1 and 2 have performance functions t₁ = 2 + x₁ and t₂ = 1 + x2, where the 's are in minutes and the x's are in thousands of vehicles per hour. The travel times on the routes are known to be in user equilibrium. If an observation for route 1 finds that the gaps between 30% of the vehicles are less than 6 seconds, estimate the volume and average travel times for the two routes. (Hint: Assume a Poisson distribution of vehicle arrivals, as discussed in Chapter 5.)
8.18 Two routes connect an origin and a destination. Routes 1 and 2 have performance functions t₁ = 2 + x₁ and t₂ = 1 + x2, where the 's are in minutes and the x's are in thousands of vehicles per hour. The travel times on the routes are known to be in user equilibrium. If an observation for route 1 finds that the gaps between 30% of the vehicles are less than 6 seconds, estimate the volume and average travel times for the two routes. (Hint: Assume a Poisson distribution of vehicle arrivals, as discussed in Chapter 5.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![8.18 Two routes connect an origin and a destination.
Routes 1 and 2 have performance functions t₁ = 2 + x₁
and t₂ = 1 + x2, where the 's are in minutes and the x's
are in thousands of vehicles per hour. The travel times
on the routes are known to be in user equilibrium. If an
observation for route 1 finds that the gaps between
30% of the vehicles are less than 6 seconds, estimate the
volume and average travel times for the two routes.
(Hint: Assume a Poisson distribution of vehicle
arrivals, as discussed in Chapter 5.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75ba31d9-d996-49f5-8bf5-c759881c52eb%2F0687a458-ba7e-4ad2-9542-352320f1acb7%2Fr12nsui_processed.png&w=3840&q=75)
Transcribed Image Text:8.18 Two routes connect an origin and a destination.
Routes 1 and 2 have performance functions t₁ = 2 + x₁
and t₂ = 1 + x2, where the 's are in minutes and the x's
are in thousands of vehicles per hour. The travel times
on the routes are known to be in user equilibrium. If an
observation for route 1 finds that the gaps between
30% of the vehicles are less than 6 seconds, estimate the
volume and average travel times for the two routes.
(Hint: Assume a Poisson distribution of vehicle
arrivals, as discussed in Chapter 5.)
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