The queuing system G/G/1/5/5 indicates a server system Unlimited Multiple Infinity C. d. Single futuro timo t
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- At the SuperSpeedy drive-through the time between consecutive customerarrivals has a mean of 50 seconds and a standard deviation of 30 seconds. Thereare two servers whose service time averages 80 seconds with a standard deviationof 20 seconds. Assume that no customers leave the drive-through after entry.b. What is the average time a customer spends at the drive-through? What fractionof that is waiting in the queue?A supermarket has four girls ringing sales at the counters. If the service time for each customer is exponential with mean 4 minutes, and if people arrive in a Poisson fashion at the rate of 10 per hour, calculate i. The average number of customers in the system. ii. The average time a customer spends in the system. iii. The average queue length iv. The average waiting time for customers. v. The expected percentage of idle time for each girl vi. The probability that at least a girl is waiting for the customer.Many of a bank’s customers use its automated banking machine (ABM). During the early eveninghours in the summer months, customers arrive at an ABM at the rate of one every other minute(assume Poisson). Each customer spends an average of 99 seconds completing the transaction.Transaction times are exponentially distributed. Assume that the length of the queue is not aconstraint. Determine the average time customers spend at the machine, including waiting in line and completing transactions. Determine the probability that a customer will not have to wait upon arrival at the ABM. Determine the utilization of the ABM.