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Exam 12: Queues and Process Simulation Modeling

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Question 41

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Explain continuous variables with an example.

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Student examples may vary.Variables that...

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Question 42

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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 jockeying.

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Question 43

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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. -In an FCFS system,L_q = when μ > λ.

Process simulation ________.

Which of the following is an assumption of the Poisson process?

Discrete variables are often called state variables.

Determine the average time for which the workstation is used.

According to the Poisson process in queuing systems,past arrivals do not influence future arrivals.

If the average arrival rate falls to 11,the average time a customer spends in the queue ________.

In queuing systems with multiple queues,customers switch lines if they perceive another to be moving faster.This kind of behavior is called ________.

In queuing theory,what is the calling population?

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. -Compute the probability that the system is empty.

In the context of efficiency evaluation of a service operation,what does throughput mean?

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. -Calculate the average number of customers in the queue.

Use the following scenario to answer the question(s) below. Solomon operates a drive-in restaurant and is in charge of marketing and analysis; his son is in charge of delivery.The restaurant works as a single queue FCFS system.During the "lunch hour," which Solomon defines as the period from 12.30 p.m.to 2.30 p.m.,customers arrive randomly at an average of 30 customers per hour (or one customer every two minutes) .A customer takes an average of three minutes to receive his order (or 20 customers per hour) ,but this fluctuates quite a bit due to variations in customer preferences.Solomon doesn't understand how a line could possibly pile up when his son can work faster than the rate at which customers arrive.Although customers complain a bit,they do not leave even if they have to wait.Solomon is particularly interested in understanding the waiting time,the number waiting,and how long his son is actually busy before considering improving his facility. (Hint: Use SimQuick) -The percentage of customers entering the process divided by the total number that tried to enter 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. -What are the steps involved in the calculation of the average time a customer spends in the system?

Use the following scenario to answer the question(s) below. Solomon operates a drive-in restaurant and is in charge of marketing and analysis; his son is in charge of delivery.The restaurant works as a single queue FCFS system.During the "lunch hour," which Solomon defines as the period from 12.30 p.m.to 2.30 p.m.,customers arrive randomly at an average of 30 customers per hour (or one customer every two minutes) .A customer takes an average of three minutes to receive his order (or 20 customers per hour) ,but this fluctuates quite a bit due to variations in customer preferences.Solomon doesn't understand how a line could possibly pile up when his son can work faster than the rate at which customers arrive.Although customers complain a bit,they do not leave even if they have to wait.Solomon is particularly interested in understanding the waiting time,the number waiting,and how long his son is actually busy before considering improving his facility. (Hint: Use SimQuick) -The number of work cycles started in the work station is ________.

Determine the time that you had to spend in the queue.

Which of the following is an example of a probabilistic arrival?

Use the model assumptions given below to answer the following question(s) . Assume Poisson arrivals with a mean arrival rate λ,exponential service times with mean service rate μ,a single server,and an FCFS queue discipline. -Identify the formula that is used to determine the average number of customers in the queue (L_q) .