Exam 12: Queueing Models

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The reason for using priorities is to decrease the waiting times for high-priority customers.

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The standard deviation for the degenerative distribution equals zero.

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The utilization factor is the ratio of the arrival rate to the service rate.

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model:   -What is the average number of low priority items waiting in line for service? -What is the average number of low priority items waiting in line for service?

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For a system that has a high utilization factor,decreasing the service rate will have only a negligible effect on customer waiting time.

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model:   -What is the average number of high priority items waiting in line for service? -What is the average number of high priority items waiting in line for service?

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Queue discipline refers to the willingness of customers to wait in line for service.

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Which of these would increase system utilization?

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The goal of queuing analysis is to minimize customer waiting lines.

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What is the system utilization?

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What is the average number of customers waiting in line?

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The exponential distribution will always provide a reasonably close approximation of the true service-time distribution.

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How many minutes does the average customer wait in line?

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The goal of queueing analysis is to minimize:

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On average,how much longer in minutes do parties of non-truckers spend in the system,compared to parties of truckers?

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model:   -What is the average time in the system (in minutes)for a low priority item? -What is the average time in the system (in minutes)for a low priority item?

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Most queueing models assume that the form of the probability distribution of interarrival times is an exponential distribution.

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All single-server queueing models require the utilization factor to be less than 1.

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A multiple-server queueing system with an exponential arrival rate and service time has a mean arrival rate of 4 customers per hour and a mean service time of 18 minutes per customer.The minimum number of servers required to keep the utilization factor under 1 is:

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Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model: Figure Refer to the following data for a multiple-server,nonpreemptive priority queueing model:   -What is the approximate average time in minutes that non-truckers wait to be seated? -What is the approximate average time in minutes that non-truckers wait to be seated?

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