Question
2
cssways
under
the
Highway
Capacity
i.
Methodology
for
Capacity
Analysis
for
Expressways
under
he
capacity
of
highway
Manual
(HCM)
provides
the
following
table
for
estimation
of
the
capacity
of
hig
d
based
on
your
[04
marks]
¢
cap
es
with
its
design
sp
on
the
capacity
varie
sections.
Give
an
expl:
understanding
of
the
traffic
flow
theory
fundamentals.
Freeowspeed

Capacity
{FFs)
i)
peone)
20
w0

0
W
w

w

aw
:
90
ii.
Distinguish
the
difference
between
time
mean
speed
and
space
mean
speed.
Propose
a
method
to
caleulate
space
mean
speed
of
a
traffic
flow
stream
on
a
two
lane
highway
[04
marks]
fii.
An
observer
counts
360
vel/h
at
a
specific
highway
section.
Assuming
the
arrival
of
vehicles
at
this
highway
follows
a
Poisson
distribution,
calculate
the
probability
of
the
23
between
successive
vehicles
between
Ssec10sec.
[04
marks]
b)
An
800
m
long
exit
ramp
from
an
expressway
is
controlled
by
a
traffic
signal
at
its
end.
Cycle
time
of
the
raffic
signal
is
2
minutes
and
ramp
cxit
approach
get
only
1
minute
effective
green.
Exit
speed
of
the
vehicles
at
the
beginning
of
ramp
is
54
km/h,
Free
flow
speed
of
this
ramp
section
is
(ur)
60
kb
and
capacity
1500
velvhr.
i.
Determine
the
jam
density
ki,
density
at
capacity,
ko,
optimum
speed,
ug,
and
density
at
the
beginning
of
the
ramp,
k.
(Assume
traffc
flow
follows
Gre
ie.u
=

[urkjk
)
hield's
model,
(04
marks]
ii.
Ideniify
the
different
points
on
a
flowdensity
curve
for
the
states
due
to
the
traffic
signa
in
the
above
scenario
03
marks]
il
Caleulatethe
speed
of
the
shockwave
that
will
generae
due
tored
signalat
the
end
ofte
ramp.
(02
marks]
iv.
What
will
be
the
ma
imum
length
of
the
stationay
an
cffet
due
(0
one
signal
cycle?
ucue
and
ngth
of
the
ramp
that
will
2
[04
marks]