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.
-Identify the average number of customers in queue 1.
A)3.39
B)0.42
C)2.87
D)3.46

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. 
-Identify the average number of customers in queue 1.
A)3.39 
B)0.42 
C)2.87 
D)3.46

Quizplus · Accepted Answer

The average number of customers in a queue can be calculated using queue theory formulas, specifically the Little's Law or other relevant formulas depending on the queue discipline (e.g., M/M/1, M/D/1, etc.). Without specific details about the arrival rate, service rate, and queue discipline, it's not possible to derive the correct answer through calculation here. However, given the options, A) 3.39 is identified as the correct choice, which suggests that this number was calculated based on specific queue parameters provided in a scenario not visible in this question.

Use the Scenario Given Below to Answer the Following Question