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Exam 12: Queues and Process Simulation Modeling

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Question 1

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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

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A

Question 2

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Based on the simulation results,determine the average number of customers in the system.

A) 18.95
B) 23.28
C) 35.23
D) 11.85

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Question 3

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If the average arrival rate increases to 14,what is the probability that the system is empty?

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -Given: μ = 8 customers/minute and λ = 4 customers/minute. Compute the expected number of customers in service.

The inventory remaining at the end of the simulation is ________.

Use the case given below to answer the following question(s) . Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn. -Which of the following,if true,would suggest that Reuben reneged?

In queuing theory,Little's law states that the ________.

If the average waiting time for a customer in a system is 30 minutes and the customer service rate is 5 customers per minute,the average time a customer spends in the queue is ________.

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -Show the steps required to calculate the average number of customers in the queue.

The mean time that an object spends in the waiting line is ________.

If the servicing rate falls to 11,which of the following will occur?

Identify the formula that is used to determine the average time a customer spends in the system (W) .

If the average number of customers in a queue is 9.6,the number of customers in the system is 10,and the arrival rate is 2 customers per minute,what is the probability that at least one customer is in the system?

A queue may not even be visible or in one location.

If the servicing rate increases to 16,the ________.

In SimQuick,service level is defined as the ________.

Use the data given below to answer the following question(s) . In an FCFS single server queuing discipline,the mean arrival rate is 12 customers/minute and the mean service rate is 14.5 customers/minute. -What is the average number of customers in the system?

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -Customers arrive at an airline ticket counter at a rate of 3 customers per minute and can be served at a rate of 2 customers per minute.At the counter there is a queue with 10 customers in it.What are the steps involved in computing the average number of customers in the system?

If the average number of customers in a queue is 9.6,the number of customers in the system is 10,and the arrival rate is 2 customers per minute,what is the probability that the system is empty?

What is the expected number of customers in service?