Exam 13: Queuing Theory

Exhibit 13. The following questions refer to the information and output below. The university computer lab has 10 computers which are constantly being used by students.Users need help from the one lab assistant fairly often.Students ask for help at a Poisson rate of with an average of 4 requests per hour for any one computer.The assistant answers questions as quickly as possible and the service time follows an exponential distribution with mean of 1 minute per help session.The following queuing analysis spreadsheet was developed from this information. -Refer to Exhibit 13.6.Based on this report what is the average number of students waiting to be helped?

Exhibit 13. The following questions refer to the information and output below. A tax accountant has found that the time to serve a customer has a mean of 30 minutes or 0.5 hours)and a standard deviation of 6 minutes or 0.1 hours).Customer arrivals follow a Poisson distribution with an average of 60 minutes between arrivals.The following queuing analysis spreadsheet was developed from this information. -Refer to Exhibit 13.7.Based on this report how long does a customer spend at the tax accountant's office?

In the Kendall notation M/G/4,G stands for

The M/D/1 model results can be derived from which of the following systems?

Exhibit 13. The following questions refer to the information and output below. A tax accountant has found that the time to serve a customer has a mean of 30 minutes or 0.5 hours)and a standard deviation of 6 minutes or 0.1 hours).Customer arrivals follow a Poisson distribution with an average of 60 minutes between arrivals.The following queuing analysis spreadsheet was developed from this information. -Refer to Exhibit 13.7.What is the Kendall notation for this system?

Exhibit 13.2 The following questions refer to the information and output below. A barber shop has one barber who can give 12 haircuts per hour.Customers arrive at a rate of 8 customers per hour.Customer inter-arrival times and service times are exponentially distributed.The following queuing analysis spreadsheet was developed from this information. -Refer to Exhibit 13.2.Based on this report what is the average number of customers waiting for a haircut?

A store is considering adding a second clerk.The customer arrival rate at this new server will be