Exam 12: Queues and Process Simulation Modeling

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Based on the simulation results,the average time a customer has to spend in the queue is ________.

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Compute the probability that the system has at least one customer.

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What is the probability that the system is not empty?

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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 involved in the calculation of the average time a customer spends in the queue.

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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. 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 percentage of customers entering the process divided by the total number that tried to enter is ________. -The percentage of customers entering the process divided by the total number that tried to enter is ________.

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If the average arrival rate increases to 14,the average number of customers in the queue ________.

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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. 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 fraction time working for work station 1 is ________. -The fraction time working for work station 1 is ________.

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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. -If Wq = 4 minutes and μ = 2 customers/minute,what is the average time a customer spends in the system?

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What is the final number of customers remaining after simulation?

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Determine the average time a customer spends in queue 1.

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What is the average time a customer has to spend in the queue?

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It is common for customers to leave a queue before being served.This kind of behavior is known as ________.

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In SimQuick,buffers are the places where the objects enter the process.

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Consider a situation where service times follow an exponential distribution.If the probability of the average service time,t,exceeding the mean is low at 0.368,which of the following is likely to be true?

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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; Lq = number of customers in the queue. -In an FCFS system,L = 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<sub>q</sub> = number of customers in the queue. -In an FCFS system,L =   only if μ = λ. only if μ = λ.

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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. 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 2 is ________. -The number of work cycles started in work station 2 is ________.

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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. -The formula that is used to determine the average number of customers in the system (L)is ________.

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