Exam 13: Queuing Theory

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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution.What is the probability that a customer's service time is less than 2 minutes?

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T = 2/60 = 0.033 hours
Pt < T)= 1 − e−μT = 1 − e−20*0.033 = 1 − 0.5134 = 0.4866

Exhibit 13. The following questions refer to the information and output below. 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. Exhibit 13. The following questions refer to the information and output below. 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 how long does a customer wait before the checker begins serving them? -Refer to Exhibit 13.4.Based on this report how long does a customer wait before the checker begins serving them?

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0.0032

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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W = 1 / μ − λ)= 1 / 6 − 5)= 1

The memoryless property is also referred to as the property.

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A renege refers to

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What is the mean arrival rate based on the following 8 arrival rate observations? Number of arrivals per hour: 6,5,3,4,7,6,4,5

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

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The Kendall notation for a queuing system with Poisson arrivals,exponential service and 3 service providers is

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The M in M/G/1 stands for

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Which of the following is the typical operating characteristic for average time a unit spends waiting for service?

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

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What is the service policy in the queuing systems presented in this chapter that is considered "fair" by the customers?

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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution.What is the probability that a customer's service time is more than 4 minutes?

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Which of the following best describes queuing theory?

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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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The M/M/s model with finite population can be used to model

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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.What is the Kendall notation for this system?

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Exhibit 13.3 The following questions refer to the information below. A company has recorded the following customer inter-arrival times and service times for 10 customers at one of its single teller service lines.Assume the data are exponentially distributed and the 10 data points represent a reasonable sample. All time in minutes Customer Inter-arrival Service 1 11.08 2.20 2 2.50 2.50 3 6.00 1.10 4 5.75 14.50 5 8.50 2.00 6 4.15 2.70 7 15.50 5.00 8 13.00 8.50 9 10.50 5.00 10 6.00 1.50 -Refer to Exhibit 13.3.What is the average number of customers in the service line?

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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution.What is the expected service time per customer?

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A balk refers to

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