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Exam 12: Queues and Process Simulation Modeling

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Question 21

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What is the probability that the system is empty?

A) 0.75
B) 0.25
C) 0.55
D) 0.45

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Question 22

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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. -Determine the average number of customers in queue 2.

A) 3.39
B) 0.42
C) 3.24
D) 3.46

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Question 23

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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. -What is the fraction time blocked for work station 2?

If the average waiting time for a customer in a queue is 25 minutes and the customer service rate is 5 customers per minute,calculate the average time a customer spends in the system.

Identify the formula that is used to determine the probability that the system is empty (P₀) .

The lines and waiting times for a service initially grow longer,but level off eventually.This is called the transient period.

The inventory level that triggers an order is called the ________.

If the average arrival rate increases to 13,the average number of customers in the system ________.

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 is an example of balking?

Based on the simulation results,what is the average number of customers in the queue?

In queuing systems,some customers may arrive at the system,determine that the line is too long,and decide not to join the queue.This kind of behavior is called ________.

What is the fraction of time that the work station was waiting to pass a customer on to the next element?

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 ________.

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. -Determine the average time a customer spends in queue 2.

According to the Poisson process,if the mean arrival rate is 2 customers per minute,the mean interval time is 4 minutes.

Typically,the first step in process simulation is to ________.

Determine the probability that the system is empty.

Use the data below to answer the following question(s). Given: λ = customer arrival rate; μ = customer service rate; L = number of customers in the system; L_q = number of customers in the queue. -The formula to calculate L_q in an FCFS system,L_q = ,is not valid if μ < λ.

Use the scenario given below to answer the following question(s) . You arrive at a queue and spend 10 minutes in the system (waiting plus service) .During this time,customers arrive at the rate of 15 per minute.The mean service rate is 20 per minute. -Assuming Little's law,determine the number of customers that remain in the system when you leave.

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. -Explain Little's law used in queuing systems.