University of California
M. Cassidy
Dept. of Civil Engineering
Spring 2005
CE 155
Quiz #3
NAME
(print clearly): __________________________________________
This quiz (exam) has three problems.
Try to answer all of them in the allotted time of 50 minutes
DO NOT
turn this page (and look at the quiz) until instructed to do so.
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View Full DocumentProblem 1
[20 points]
Consider two onelane roadways that merge into a single onelane roadway, as shown
below.
{
visualize here a merge with approach links labeled a and b
}
If there are queues on both approaches (segments
a
and
b
), and if neither approach is
metered, then the merge ratio is 1:1.
Segments
a
,
b
and
c
each have a capacity of 2,000
vph.
The timedependent demands (i.e., virtual arrival rates) for the two approaches are as
given below.
Segment a
Segment b
V
1
(t) = 1,500 vph,
0 <
t < 1 hr
V
1
(t) = 1,000 vph,
0 <
t < 1hr
V
2
(t) = 1,000 vph,
t >
1 hr
V
2
(t) = 0 vph,
t >
1 hr
Note that
during the time interval 0 < t < ½ hr, approach
b
is metered, such that its
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 Spring '09
 CHOW
 University of California, employment center, singlelane section, M. Cassidy, single onelane roadway

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