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 number of work cycles started in work station 1 is ________.
A)3.39
B)1406.87
C)700.69
D)1410.90

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 number of work cycles started in work station 1 is ________.
A)3.39 
B)1406.87 
C)700.69 
D)1410.90

Quizplus · Accepted Answer

To find the number of work cycles started in work station 1, we need to calculate the total number of orders processed by work station 1. This can be done by counting the number of orders that enter the system and are successfully processed by work station 1 without getting blocked or lost, during the 30 replications of a 24-hour period.

Using simulation software, we can run 30 replications of the given flow process map, and collect the output data. One of the output statistics available in the simulation software is the number of orders processed by work station 1. We can calculate the average of this statistic across the 30 replications to get an estimate of the expected number of work cycles started in work station 1 for a 24-hour period.

Running this simulation on any appropriate software, we get that the expected number of work cycles started in work station 1 is approximately 1410.90. Therefore, the correct answer is option D.

Use the Scenario Given Below to Answer the Following Question