Consider the network below with the following link travel time functions Xa is the flow (users) on link a; ta is the travel time of link a in minutes t₁(x1) = x₁ + 3 t₂(x2) = 2x2 + 1 t3(x3) = 3x3 t4(x4) = 22 t5(x5)= X5 1 2 X2 = C1D + c2 c1= c2= 5 3 3 4 Let D be the demand for the O-D pair (1, 4). (b) Assuming all paths are used at User-Equilibrium, express the link flow X2 as a function of D (Provide the values in 3 decimal places).
Consider the network below with the following link travel time functions Xa is the flow (users) on link a; ta is the travel time of link a in minutes t₁(x1) = x₁ + 3 t₂(x2) = 2x2 + 1 t3(x3) = 3x3 t4(x4) = 22 t5(x5)= X5 1 2 X2 = C1D + c2 c1= c2= 5 3 3 4 Let D be the demand for the O-D pair (1, 4). (b) Assuming all paths are used at User-Equilibrium, express the link flow X2 as a function of D (Provide the values in 3 decimal places).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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![Consider the network below with the following link travel time functions
X₂ is the flow (users) on link a; ta is the travel time of link a in minutes
t₁(x1) = x1 + 3
t₂(x2) = 2x2 + 1
t3(x3) = 3x3
t4(x4) = 22
t5(x5)= X5
2
c2 =
5
3
3
4
Let D be the demand for the O-D pair (1, 4).
(b)
Assuming all paths are used at User-Equilibrium, express the link flow X2 as a
function of D (Provide the values in 3 decimal places).
X2 = C1D + c2
c1=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb16227d-70ef-47da-8742-1b9ee3d78eae%2F69fddb6c-a4c8-4a3d-91f0-a1fdf69d9a60%2Fmi2gup_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the network below with the following link travel time functions
X₂ is the flow (users) on link a; ta is the travel time of link a in minutes
t₁(x1) = x1 + 3
t₂(x2) = 2x2 + 1
t3(x3) = 3x3
t4(x4) = 22
t5(x5)= X5
2
c2 =
5
3
3
4
Let D be the demand for the O-D pair (1, 4).
(b)
Assuming all paths are used at User-Equilibrium, express the link flow X2 as a
function of D (Provide the values in 3 decimal places).
X2 = C1D + c2
c1=
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