Exam 22: Waiting Lines

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The ________ is an input that generates potential customers.

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With a single-server model,increasing the capital-to-labor ratio will most likely

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Explain how waiting lines can develop even when the service time is a constant.

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Customers arrive according to a Poisson distribution.The average number of customer arrivals per hour is four.The probability that three customers will arrive in the next two hours is

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Customers are serviced at a rate of five customers per hour according to an exponential distribution.What is the probability that customer service will require fewer than 20 minutes?

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A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour. Customers arrive every minute for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution. -Use the information in Scenario C.1.What is the average number of people waiting in line and being seated?

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Ed Deadbeat races to the Bursar's Office on the first day of class and notes that the line is four students long.Ed figures that the wait will be at least ten minutes and,having better uses of his time,he decides to proceed to the next item on his to-do list.Ed's behaviour is best described as

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The ________ distribution specifies the probability that n customers will arrive in T time periods.

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An operations manager decides that customers should be processed based on the anticipated duration of their request instead of their arrival time.The system has been changed in what fashion?

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Customers arrive according to a Poisson distribution.The average number of customer arrivals per hour is six.The probability that four customers will arrive in the next three hours is

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Customers arrive at the local grocery store at a steady rate of 40 an hour.Thirty percent of these customers purchase 10 items or less and go to the express line where they enjoy an average checkout time of 5 minutes.Customers that don't meet the express line criterion go to checkout line #2 where they spend an average of 10 minutes checking out.How many people are checking out in both lines on average?

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A(n)________ is a rule that allows a customer of higher priority to interrupt the service of another customer.

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A(n)________ selects the next customer to be served at the service facility.

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Customers arrive at the one remaining full-service gas station in the country at the rate of 45 per minute and are served by the first available of three pump jockeys who can dole out gas and check oil at the rate of 20 customers per minute. Both service and interarrival times are governed by the exponential distribution. The probability that no pump jockey is busy is 0.0748. -Use the information in Scenario C.3.What is the average number of customers in line?

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Weary travelers arrive at Will Rogers International Airport, pick up their luggage, stumble to their cars, and proceed to the parking lot attendant to pay for their parking. Traveler interarrival times are exponentially distributed, as are the service times of the attendant. On average, travelers arrive every 25 seconds. The attendant can process three travelers per minute. -Use the information in Scenario C.2.What is the average number of customers in line?

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Customers arrive at a ticket counter at the rate of 50 customers per hour, according to a Poisson distribution. There are three ticket agents. Customers select the first available agent from one line. Each agent can process 20 customers per hour with exponential service times. -Use the information in Scenario C.4.What is the average waiting time in line?

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A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour. Customers arrive every minute for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution. -Use the information in Scenario C.1.What is the average number of customers in line?

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A trucking firm has five trucks that each requires service at an average rate of once every 50 hours, according to an exponential distribution. The firm has a mechanic who needs five hours to complete the average job with exponential service times. -Use the information in Scenario C.5.What is the average number of trucks in line waiting and being serviced?

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Short queue lengths typically mean not enough capacity.

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In order to have equivalent performance on average waiting time in a single server model,an increase in interarrival time must be accompanied by

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