Exam 11: Queuing models

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The number of customers in a system is the number in the queue plus one

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of all items waiting in line for service?

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A single bay car wash with an exponential arrival rate and service time has cars arriving an average of 10 minutes apart,and an average service time of 4 minutes The utilization factor is:

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The cost of customer waiting is easy to estimate

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The expected waiting time in line is equal to the expected number of customers in line divided by the arrival rate

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Decreasing the variability of service times,without any change in the mean,improves the performance of a single-server queueing system substantially

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Multiple-server queueing systems can perform satisfactorily with somewhat higher utilization factors than can single-server queueing systems

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average time in line (in minutes)for a high priority item?

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Which of the following is not an example of a commercial service system?

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Which of these would increase system utilization?

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Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings (exponential interarrival times). Selling the tickets and providing general information takes an average of 3 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. -What is the system utilization?

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What is the minimum number of clerks needed to keep the average time in the system under 5 minutes?

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What is the minimum number of servers needed to achieve an average time in the system of less than three minutes?

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Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average time in the system (in minutes)for a high priority item?

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What is the average number of customers waiting for service if 6 clerks are used?

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Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times). -What is the minimum number of servers needed to keep the average time in the system under 6 minutes?

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Applying nonpreemptive priorities improves the measures of performance in the top priority class even more than applying preemptive priorities

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The lack-of-memory property refers to a customer's willingness to wait in line even though there are other customers that will be served first

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

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As the ratio of arrival rate to service rate is increased,which of the following is likely?

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