Exam 22: Waiting Lines

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Waiting lines cannot develop if the time to process a customer is constant.

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________ is a fundamental law that relates the number of customers in a waiting-line system to the waiting time of customers.

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The owner of a desktop publishing company has seven loyal clients who periodically require his services.The owner has

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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.How many minutes per hour is the attendant not serving customers?

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An automatic,drive-through car wash is an example of a

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With a single-server model,increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in

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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 waiting for service?

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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 time a customer must wait in line?

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A Laundromat where there are washing machines and dryers is an example of a

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The number of customers in queue and being served also relates to service efficiency and capacity.

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If the service system generates customers according to a Poisson distribution,the exponential distribution describes the probability that the next customer will arrive in the next T time periods.

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India Sisson wants to grab a latte before heading to her marketing class,knowing that the jolt of a double tall mocha is the only thing that can possibly keep her eyes open during today's presentation on the four Ps.The barista is slower than molasses in January and India notes that the pace of the line won't permit her to grab her favorite seat in the back row of her class.She decides to risk marketing without a latte and leaves the line before getting served.India's behaviour is best described as

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The four elements common to all waiting-line situations are a customer population,a waiting line of customers,the service facility,and a priority rule.

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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 utilization of the pump jockeys?

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The Jackson Machine Company has four cutting tools that need to be refurbished after an average of 30 hours, according to an exponential distribution. The single machine that refurbishes the tools needs 15 hours for each tool on the average, with exponential service times. -Use the information in Scenario C.6.What is the average utilization of the refurbishing machine?

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A bank lobby with six teller windows,each with a separate line,is an example of a

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In a single-channel,single-phase system,all operations demanded by a customer can be performed by a single workstation.

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A super computer-accessory discount store often has customers who leave the checkout line before being served because of excessive waiting times.The store has a(n)

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You glide your finely tuned Eldorado into the parking lot of your favorite fast food establishment and get in the line for drive through service.After screaming your order into the speaker and receiving what you assume is the go-ahead,you proceed to the first window to pay,and then to the second window to pick up this evening's meal,mystery meat between two buns with a large sugar water that has been colored brown and carbonated.As you exit the parking lot,you ponder the vicissitudes of this ________ channel ________ phase queuing system.

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A drive-through system at a fast food restaurant where the first facility takes the order,the second takes the money,and the third provides the food is an example of

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