Exam 24: Waiting-Line Models

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A waiting line or __________ is where items or people are in a line awaiting service; __________ is a body of knowledge about waiting lines.

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Of the three types of queue discipline, only __________ is assumed by the four primary waiting line models.

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There is only one bay and one type of service at an automatic car wash. Provide the most likely characteristics of this system. a. name of model b. number of channels c. number of phases d. arrival rate distribution e. service time distribution f. population size g. queue discipline

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Which of the following represents a customer that reneged due to the waiting-line?

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In queuing problems, which of the following probability distributions is typically used to describe the number of arrivals per unit of time?

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Study of waiting-line models helps operations managers better understand

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What costs are present in waiting line analysis? How do these costs vary with the level of service?

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Suppose that 1 customer arrives each minute in a Poisson distribution. Is it more likely that 2 customers or 0 customers will arrive each minute?

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In a repetitive focus factory, the number of channels available for the processing of a certain part would likely refer to

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A finite population waiting line model has an average service time T of 200 minutes and an average time between service requirements U of 300 minutes; the service factor X is

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What are the assumptions underlying the M/M/1 waiting line model? Which of these also hold for the M/D/1 model?

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Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. A student has just entered the system. How long is she expected to stay in the system?

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Suppose that a service facility has an average line of 2 customers that must wait, on average, 5 minutes for service. How many customers are arriving per hour?

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The shopper who says to himself, "I've waited too long in this line. I don't really need to buy this product today," and leaves the store is an illustration of which element of arrival behavior?

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A finite population waiting line model has an average service time T of 100 minutes and an average time between service requirements U of 400 minutes; the service factor X is 0.25.

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A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 10 minutes on average. Service takes a constant 4 minutes. The average length of the queue Lq is

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Balk and renege are elements of queue discipline.

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A waiting-line system that meets the assumptions of M/M/1 has = 1, = 4. Calculate Pₒ. Build a table showing the probability of more than 0, 1, 2, 3, 4, 5, 6,and 7 units in the system. Round to six decimal places in your work

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A queuing model which follows the M/M/1 assumptions has λ = 3 and μ = 2. The average number in the system is

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Arrivals or inputs to a waiting-line system have characteristics that include

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