Exam 13: Queuing Theory

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Which of the following best describes queuing theory?

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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.   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? -Refer to Exhibit 13.7. What is the Kendall notation for this system?

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Which type of queuing system are you likely to encounter at a grocery store?

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A barber shop has one barber, a Poisson arrival rate and exponentially distributed service times. What is the Kendall notation for this system?

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A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server?

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The M in M/G/1 stands for

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Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers would you expect to arrive in a 20 minute period?

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A grocery store can serve an average of 360 customers per hour. The service times are exponentially distributed. The store has 4 checkout lines each of which serves 90 customers per hour. Customers arrive at the store at a Poisson rate of 240 customers per hour. The following queuing analysis spreadsheet was developed from this information.   A grocery store can serve an average of 360 customers per hour. The service times are exponentially distributed. The store has 4 checkout lines each of which serves 90 customers per hour. Customers arrive at the store at a Poisson rate of 240 customers per hour. The following queuing analysis spreadsheet was developed from this information.    -Refer to Exhibit 13.4. Based on this report what is the average number of customers waiting for a checker? -Refer to Exhibit 13.4. Based on this report what is the average number of customers waiting for a checker?

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The standardized queuing system notation such as M/M/1 or M/G/2 is referred to as

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What is the formula for the probability of x arrivals, p(x), under a Poisson distribution with arrival rate λ\lambda ?

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Joe's Copy Center has 10 copiers. They break down at a rate of 0.02 copiers per hour and are sent to the service facility. What is the average arrival rate of broken copiers to the service facility?

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Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 0, 1 2, and 3 arrivals in a 15 minute period?

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Which of the following is a reason to employ queuing theory?

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

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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.   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 how much time do students spend getting help before they can resume work on their computers? -Refer to Exhibit 13.6. Based on this report how much time do students spend getting help before they can resume work on their computers?

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What is the mean arrival rate based on the following 10 arrival rate observations? What is the mean arrival rate based on the following 10 arrival rate observations?

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What is the formula for P(t - T) under the exponential distribution with rate μ\mu ?

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If a service system has a constant service time, Poisson arrival rates and 2 servers its Kendall notation is

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Which type of queuing system are you likely to encounter at a Wendy's restaurant?

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The customer service desk at Joe's Discount Electronics store receives 5 customers per hour on average. On average, each customer requires 10 minutes for service. The customer service desk is staffed by a single person. What is the average time a customer spends in the customer service area if modeled as an M/M/1 queuing system?

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