traffic example

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  • 7/26/2019 traffic example

    1/5

    FL

  • 7/26/2019 traffic example

    2/5

    1. q = au +bu ,u = 50q = 2900

    2900 = 2500 a + 50 b (I)

    dqdu

    =2au+b=0, u = 50 at

    qm

    0 = 100 a + b (II)

    III a = -1.16, b = 116

    Free Flow Spee!

    q = au +bu = u(au+b)= 0 au+b=0a=1.16,b=116 u=100km

    h

    u=0; whichis not the answer

  • 7/26/2019 traffic example

    3/5

    2. S =S f (1- (D /Dj)

    3.5

    )

    "# = $%00 &e''

    * = 10

    " = S " =S f (

    D3.5

    D4.5 )

    D /Dj

    D /Dj

    14.5 ( 3.5 )=0dV

    dD=S

    f

    For "#!

    S0=S f(1 14.5 )=0.778S f

    "# =S

    0D

    0

    $%00 = 0.% S f (1/4.5)1/3.5DjDj=140

    Sf=53.69kmh

    S0=41.77

    km

    h

  • 7/26/2019 traffic example

    4/5

    $. %0 0.%/ = 0 / = 100

    q = 000 &e''(5100)000 = $000 $000 = %0/ - 0.

    / = 50 , 150

    S = " {

    3000

    150=20

    km

    h

    3000

    50=60

    km

    h

  • 7/26/2019 traffic example

    5/5

    . er#33&e!

    Y>2.5+

    60km

    h(10

    36 )2 (3.4+0 )

    =4.95 sec

    Y>4.95 sec

    Y>2.5+60(

    10

    36)

    2(3.4 )+

    (12+6)

    60 (10

    36)=6.03 sec

    Y>6.03 sec