GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

Question : 39 of 65

Marks: +1, -0

The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are 20 and 50 vehicles/minutes, respectively. For this signal, the red time is

30 {s}

, the effective green time is

30 {s}

, and the cycle length is

60 {s}

. Assuming that initially there are no vehicles in the queue, the average delay per vehicle using the approach road during a cycle length (in s, round off to 2 decimal places) is ___________

Your Answer:

Validate

Solution:

Average delay per vehicle

=\;{C(1-{g}/{C})^{2}}/{2(1-\;{v}/{s})}

=\;{60}/{2} \;{(1-{30}/{60})^{2}}/{(1-\;{20}/{50})}=\;{60}/{2} \;{(1-{30}/{60})^{2}}/{(1-\;{20}/{50})}=\;{50}/{4}

=12.5 {sec}

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