Exam 11: Queuing models
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Exam 11: Queuing models74 Questions
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The number of customers in a system is the number in the queue plus one
(True/False)
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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?
(Multiple Choice)
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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:
(Multiple Choice)
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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
(True/False)
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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
(True/False)
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Multiple-server queueing systems can perform satisfactorily with somewhat higher utilization factors than can single-server queueing systems
(True/False)
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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?
(Multiple Choice)
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Which of the following is not an example of a commercial service system?
(Multiple Choice)
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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?
(Multiple Choice)
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What is the minimum number of clerks needed to keep the average time in the system under 5 minutes?
(Multiple Choice)
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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?
(Multiple Choice)
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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?
(Multiple Choice)
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What is the average number of customers waiting for service if 6 clerks are used?
(Multiple Choice)
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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?
(Multiple Choice)
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Applying nonpreemptive priorities improves the measures of performance in the top priority class even more than applying preemptive priorities
(True/False)
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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
(True/False)
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All single-server queueing models require the utilization factor to be less than 1
(True/False)
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As the ratio of arrival rate to service rate is increased,which of the following is likely?
(Multiple Choice)
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