Exam 11: Queuing models

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In a nonpreemptive priority system,customers are served in the order in which they arrive in the queue

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Queueing models conventionally assume that the queue can hold an unlimited number of customers

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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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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 low priority item?

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A multiple priority queueing model assumes that:

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If a manager increases the system utilization standard (assuming no change in the customer arrival rate)what happens to the customer waiting time?

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How many minutes does the average customer spend in the system?

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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 low priority item?

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A queueing system has four crew with three members each The number of "servers" is:

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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 overall arrival rate per hour?

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Queueing models enable finding an appropriate balance between the cost of service and the amount of waiting

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The standard deviation for the degenerative distribution equals zero

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

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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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A small popular restaurant at an interstate truck stop provides priority service to truckers.The restaurant has ten tables where customers may be seated.The service time averages 40 minutes once a party is seated.The customer arrival rate is 12 parties per hour,with the parties being equally divided between truckers and non-truckers. -What is the approximate average time in minutes that non-truckers wait to be seated?

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The assumption of constant service times cannot be used with human servers because of the inevitable variability

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What is the approximate average time in minutes that truckers wait to be seated?

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

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A queueing system is said to be in a "steady state" when customers arrive at a constant rate,that is,without any variability

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When designing a single-server queueing system,giving a relatively high utilization factor to the server ensures that the system is working efficiently

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