The vehicles are entering the parking area of the a mall. There is only one ticket line to get and pay a parking ticket. Each ticket purchase takes an average of 18 seconds. The average arrival rate is 3 vehicles/minute. Find the average length of queue, average waiting time in queue and average time spent by the vehicles in the system assuming M/M/1 queuing.
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The vehicles are entering the parking area of the a mall.
There is only one ticket line to get and pay a parking
ticket. Each ticket purchase takes an average of 18
seconds. The average arrival rate is 3 vehicles/minute.
Find the average length of queue, average waiting time
in queue and average time spent by the vehicles in the
system assuming M/M/1 queuing.
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How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?12-17 Automobiles arrive at the drive-through window at a post office at the rate of four every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. a. What is the average time a car is in the system? b. What is the average number of cars in the system? c. What is the average time cars spend waiting to receive service? d. What is the average number of cars in line behind the customer receiving service? e. What is the probability that there are no cars at the window? f. What percentage of the time is the postal clerk busy? g. What is the probability that there are exactly two cars in the system?The Petroco Service Station has one pump for regular unleaded gas, which (with an attendant) can service 15 customers per minute . Cars arrive at the regular unleaded pump at a rate of 12 per minute Determine the average queue length, The average number of car in the queuing system, the average time a car is in the system, and the average time a car must wait.
