The Fast Shop Market checkout counter is a single-server queuing system with the following characteristics: (1)...

 

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The Fast Shop Market checkout counter is a single-server queuing system with the following characteristics: (1) An infinite calling population (2) A FIFO queue discipline (3) Poisson arrival rate (4) Exponential service times By past experience, we know that 24 customers arrive the checkout counter per hour and 30 customers can be checked out per hour. Determine the following items. (a) On average, how many customers are there in the queuing system? (b) Average time in the queue per customer. If a new employee is hired, customers can be served in less time, 40 customers can be served per hour. Assume the arrival rate remain unchanged. Determine the following items. (c) On average, how many customers are there in queue? (d) Average time in the system per customer. (e) Probability that the server will be busy and the customer must be wait. The Fast Shop Market checkout counter is a single-server queuing system with the following characteristics: (1) An infinite calling population (2) A FIFO queue discipline (3) Poisson arrival rate (4) Exponential service times By past experience, we know that 24 customers arrive the checkout counter per hour and 30 customers can be checked out per hour. Determine the following items. (a) On average, how many customers are there in the queuing system? (b) Average time in the queue per customer. If a new employee is hired, customers can be served in less time, 40 customers can be served per hour. Assume the arrival rate remain unchanged. Determine the following items. (c) On average, how many customers are there in queue? (d) Average time in the system per customer. (e) Probability that the server will be busy and the customer must be wait.

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