




QUESTION 26 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive...
Suppose vehicles arrive at a single toll booth according to a Poisson process with a mean arrival rate of 8.4 veh/min. Their service times are exponentially distributed. The mean processing rate is 10 veh/min. a. What is the value of the utilization ratio? b. What is the average length of the queue? c. What is the average waiting time in the queue? d. What is the average time spent in the system?
Vehicles have been arriving at a toll bridge at an average rate of 216 an hour. Only one toll booth is currently open and can process arrivals (collect tolls) at a mean rate of 20 seconds per vehicle. a. How many vehicles should be expected at the toll bridge in a 10-minute period? Please show how you arrived at your answer. b. Define X to be the number of vehicles arriving at the toll bridge in a 10-minute period and...
answer the question number 3 as stated in the picture
2. Vehicles arrive at an entrance to a recreational park. There is a single gate at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after 20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level for the remainder of the...
the Ponchatrain Bridge is a 16-mile toll bridge that crosses Lake Ponchatrain in New Orleans. Currently, there are 7 toll booths, each staffed by an employee. Since Hurricane Katrina, the Port Authority has been considering replacing the employees with machines. Many factors must be considered because the employees are unionized. However, one of the Port Authority's concerns is the effect that replacing the employees with machines will have on the times that drivers spend in the system. Customers arrive...