Question

In: Civil Engineering

Consider the headway data shown in the following table. Data was taken from the center lane...

Consider the headway data shown in the following table. Data was taken from the center lane a three-lane intersection approach for a total of ten signal cycles. For the purposes of the analysis, the data may be considered to have been collected under ideal conditions.

  1. Calculate the average headway per vehicle ID, and plot the average headways with respect to vehicle positions in the queue for the data shown below. Sketch an approximate best-fit curve through the data.
  2. Use the approximate best-fit curve constructed in Part (1), determine the saturation headway and the start-up lost time for the data.
  3. What is the saturation flow rate for this data?

Vehicle position

Signal cycle ID

1

2

3

4

5

6

7

8

9

10

1

3.6

3.7

3.5

3.6

3.4

3.3

3.6

3.7

3.5

3.7

2

2.6

3.0

2.4

2.6

2.2

2.2

2.7

2.8

2.7

2.8

3

2.0

2.4

2.0

2.1

1.8

2.0

2.4

2.4

2.3

2.4

4

1.7

2.0

2.0

2.0

1.7

2.0

2.0

2.0

2.0

2.0

5

1.6

1.9

2.0

1.9

1.7

1.8

1.9

2.1

2.0

1.8

6

1.7

1.8

1.9

1.9

1.6

1.7

1.8

1.8

1.8

1.7

7

1.7

1.8

1.8

1.8

1.7

1.7

1.7

1.9

1.9

1.9

8

1.6

1.7

1.8

1.8

1.7

1.7

1.8

1.8

1.9

1.9

9

//

1.8

//

1.6

//

1.7

1.7

//

//

1.7

10

//

1.7

//

1.8

//

//

1.7

//

//

1.7

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