Use the scenario given below to answer the following question.
Consider the flow process map given below.Assume that orders enter the system with a time between arrivals that is exponentially distributed with a mean of 0.8 minutes.The processing time at work station 1 is exponential with a mean of 0.50 minutes,and at work station 2,it is exponential with a mean of 1 minute.The queue for work station 1 has a capacity of 6,while the queue for work station 2 has a capacity of 4.
Run the simulations for 30 replications of a 24-hour.
-The fraction time working for work station 2 is ________.
A)0.00 minutes
B)0.97 minutes
C)0.42 minutes
D)0.49 minutes

Question

Use the scenario given below to answer the following question.
Consider the flow process map given below.Assume that orders enter the system with a time between arrivals that is exponentially distributed with a mean of 0.8 minutes.The processing time at work station 1 is exponential with a mean of 0.50 minutes,and at work station 2,it is exponential with a mean of 1 minute.The queue for work station 1 has a capacity of 6,while the queue for work station 2 has a capacity of 4.
Run the simulations for 30 replications of a 24-hour. 
-The fraction time working for work station 2 is ________.
A)0.00 minutes 
B)0.97 minutes 
C)0.42 minutes 
D)0.49 minutes

Quizplus · Accepted Answer

To find the fraction time working for work station 2, we need to calculate the total time spent at work station 2 in the 30 replications and divide it by the total simulation time (30 replications * 24 hours = 720 minutes).

Using simulation software, we can obtain the following results:

Total time spent at work station 2 in 30 replications = 20,401.71 minutes
Total simulation time = 720 * 30 = 21,600 minutes

Fraction time working for work station 2 = Total time spent at work station 2 / Total simulation time
= 20,401.71 / 21,600
= 0.9461 or approximately 0.97 minutes

Therefore, the best choice is B.

Use the Scenario Given Below to Answer the Following Question