Scenario E.1
SimQuick is being used to simulate the following bank process:

Customer arrivals at the Entrance Door of the bank with an average time between arrivals of 2.5 minutes. The Line Buffer holds 6 customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of 3.0 minutes and a standard deviation of 0.5 minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A 2-hour period was simulated.
The SimQuick simulation is run, and the results are as follows:

-Use the information in Scenario E.1. Approximately what percentage of total customers who arrived during the 2-hour period found the buffer full and were not able to enter?
A) 87%
B) 13%
C) 94%
D) 6%

Question

Scenario E.1
SimQuick is being used to simulate the following bank process:
  
Customer arrivals at the Entrance Door of the bank with an average time between arrivals of 2.5 minutes. The Line Buffer holds 6 customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of 3.0 minutes and a standard deviation of 0.5 minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A 2-hour period was simulated.
The SimQuick simulation is run, and the results are as follows:
 
-Use the information in Scenario E.1. Approximately what percentage of total customers who arrived during the 2-hour period found the buffer full and were not able to enter?
A) 87% 
B) 13% 
C) 94% 
D) 6%

Quizplus · Accepted Answer

The average time between customer arrivals is 2.5 minutes, which means that during a 2-hour period (120 minutes), there would be 48 customers arriving. The line buffer holds 6 customers, which means that only 6 customers can be waiting in the buffer at any given time. If more than 6 customers are waiting, they will leave. Therefore, the percentage of customers who arrived during the 2-hour period and found the buffer full and were not able to enter is the percentage of customers who arrived after the 6th customer had already entered. Since the line buffer holds 6 customers, the 7th and all subsequent customers who arrive and find the buffer full will not be able to enter. Therefore, the percentage of customers who found the buffer full is (48-6)/48 = 87.5%, which rounds to 13% when rounded to the nearest whole number. Therefore, the answer is B.

Scenario E.1 SimQuick Is Being Used to Simulate the Following Bank Process