Exam 9: Queuing Models

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Cars arriving at a highway tollbooth would be an example of a limited (finite)population.

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Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 8.00 Service Rate 10.00 Standard deviation of servicetime 0.09 -Refer to the table.What is the average number of customers in the queue plus the number being served?

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A beauty salon employs three hairdressers.All customers get their hair washed in one area of the salon before being taken to another area to get their hair cut.Customer arrival rate and service time follows the Poisson and exponential distributions,respectively.What is the Kendall notation for this system?

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One of the M/M/1 queuing model assumptions is that the average number of arrivals (the arrival rate)does not change over time.

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A multiphase queuing system is one in which service is received from more than one station,one after the other.

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Use this information to answer the following questions. Number of Servers 1.0 Arrival Rate 7.00 Service Rate 10.00 (0) , probability that there are no customers in the system 30\% , average length of the queue 1.63 , average time in the system 0.33 , average number of customers in the system 2.33 , average time in the queue 0.23 Utilization factor of the system 70\% -Refer to the table.What percent of the time is the server busy?

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The Exponential distribution is used in many queuing models to represent service time patterns.

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