![APPLICATION OF QUEUING TO REAL BUSINESS STTUATIONS EXAMPLE A: Western National Bank is considering opening a drive-through window HINT: Note the model selection] for customer service. Management estimates that customers will arrive at the rate of 15 per hour (Lambda). The teller who will staff the window can service customers at the rate of one every three minutes (i.e., 20 per hour [Note the conversion; divide by the same units. Always watch out for this.] Assuming Poisson arrivals and exponential service, find: Utilization of the teller [rho]. Average number in the waiting line. Note the subscript q for line or queue, and L for number.l Average number in the system. [Note the subscript S for system and use of L for number.] 1. 2. 3. 4. Average waiting time in line. [Note the subscript q for line or queue, and W» for wait.] 5. Average waiting time in the system including service Solution:](https://media.cheggcdn.com/media%2Fcae%2Fcae000d1-e1dd-4a4b-980e-2b893a420c5c%2Fimage.png)
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APPLICATION OF QUEUING TO REAL BUSINESS STTUATIONS EXAMPLE A: Western National Bank is considering opening a drive-through window HINT: Note the model selection] for customer service. Management estimates that customers will arrive at the rate of 15 per hour (Lambda). The teller who will staff the window can service customers at the rate of one every three minutes (i.e., 20 per hour [Note the conversion; divide by the same units. Always watch out for this.] Assuming Poisson arrivals and exponential service, find: Utilization of the teller [rho]. Average number in the waiting line. Note the subscript "q" for line or queue, and "L" for number.l Average number in the system. [Note the subscript "S" for system and use of L" for number.] 1. 2. 3. 4. Average waiting time in line. [Note the subscript "q" for line or queue, and " W» for wait.] 5. Average waiting time in the system including service Solution:
