Lightning Quiz – Lecture 15

1. BPR function is most commonly used for:

• (a) Short-term traffic operations and control

• (b) Optimizing traffic signal timings at intersections

• (c) Long-term equilibrium traffic modeling in planning studies

• (d) Dynamic traffic assignment during peak periods

2. A commuter rail line operates with a load factor of 0.5 during midday hours. What does this indicate?

• (a) The system is operating at full capacity

• (b) The system is underutilized

• (c) Demand is exceeding capacity

3. Suppose event A corresponds to a cyclist arriving at a smart traffic signal, and event B corresponds to the signal extending the green light for that cyclist. These two events are:

• (a) Dependent

• (b) Mutually exclusive

• (c) Not mutually exclusive

• (d) Both (a) and (c)

4. The arrival of buses at a stop follows a Poisson process with a mean inter-arrival time of 15 minutes. If a user misses her bus by 5 minutes, how long will she have to wait for the next bus?

• (a) 15 mins

• (b) 10 mins

• (c) Anywhere between 5 to 10 mins

• (d) Cannot be determined based on information provided

5. If the number of vehicles passing through an intersection per minute follows a Poisson distribution, what is the distribution of time between consecutive vehicle arrivals?

• (a) Uniform

• (b) Exponential

• (c) Gamma

6. Which distribution is most suitable for modeling the costs incurred due to a traffic accident?

• (a) Geometric

• (b) Normal

• (c) Lognormal

• (d) Exponential

7. A bus route experiences 5 delays per week on average due to traffic congestion. What can the Poisson distribution help estimate?

• (a) The probability of experiencing exactly 3 delays in a given week

• (b) The times when delays will occur

• (c) The specific bus stops where delays will occur

• (d) All of the above