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homework6

# homework6 - CIV ENG 376 Homework#6 Due on Monday Nov 14...

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CIV ENG 376: Homework #6 Due on Monday, Nov. 14 Instructor: Marco Peng Chen

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Peng Chen CIV ENG 376 (Instructor: Marco ): Homework #6 Problem 1 According to the data in the table, we can draw a queuing diagram (Figure 1). In the diagram, t = 0 denotes the starting moment 6:30. Figure 1: Queuing Diagram In the first period 6:30–6:40, the departure rate was greater than the arrival rate; in the second period 6:40–6:50, the departure rate rate was smaller than the arrival rate. Thus, the queue began at 6:40 ( t = 10). From the diagram above, we can see the queue ended at 7:30 ( t = 60). From the diagram above, we can see the maximum number of vehicles in the ramp queue was 80 , which occurred from t = 30 to t = 40 (7:00–7:10). The yellow area in the diagram denoted the total delay due to the queue. Thus, the total day can be calculated as follows. total delay = 30 × 10 2 + (30 + 80) × 10 2 + (80 + 80) × 10 2 + (80 + 50) × 10 2 + 50 × 10 2 = 2400 veh · min = 40 veh · hour Problem 2 According to the traffic demand and the capacity from 10:00–11:30, we can draw a queuing diagram (Figure 2). In the diagram,
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