A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and...

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A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system. Arrival rate Service rate Number of servers 1 Utilization 75.00% P(0), probability that the system is empty Lq, expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits 0.2500 2.2500 3.0000 0.3750 0.5000 0.7500 . How many customers will be in the store on average at any one time? a. 0.375 b. 0.50 c. 2.25 d. 3.00 .What is the expected time the customer will be serviced? a. 0.750 b. 0.125 c. 0.500 d. 0.375 . If the store adds an additional server to its system, what happens to a customer's average service time? a. increases b. decreases c. it is unchanged d. depends on the arrival rate A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system. Arrival rate Service rate Number of servers 1 Utilization 75.00% P(0), probability that the system is empty Lq, expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits 0.2500 2.2500 3.0000 0.3750 0.5000 0.7500 . How many customers will be in the store on average at any one time? a. 0.375 b. 0.50 c. 2.25 d. 3.00 .What is the expected time the customer will be serviced? a. 0.750 b. 0.125 c. 0.500 d. 0.375 . If the store adds an additional server to its system, what happens to a customer's average service time? a. increases b. decreases c. it is unchanged d. depends on the arrival rate

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Lambda 6 per hour Mu 8 per hour Utilisation rho 68 075 1 1 Avg ... View the full answer