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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


A) the number of successive operations that have to be performed on that part
B) the number of machines doing the same necessary operations
C) the number of parts waiting to be processed
D) all of the above depending on the layout
E) none of the above

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


A) A husband and wife decide to eat out instead after seeing the movie ticket line.
B) A car drives past the first fast-food restaurant on Hamburger Row because the drive-through was full.
C) A Black Friday shopper skipped one store because the line went around the building.
D) A student ordered pizza online because the phone line was busy.
E) A customer at a gas station went inside to buy a soda, but after waiting in line for a minute left the soda behind and went outside empty-handed.

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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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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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Constant service (M/...

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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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FIFO or FI...

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Balk and renege are elements of queue discipline.

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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?


A) random arrival
B) renege
C) random departure
D) balk
E) none of the above

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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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P(0)=e^-1*1^0/0! = .368
P(2)=e...

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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


A) -3
B) 3
C) 0.667
D) 150 percent
E) growing without limit, since λ is larger than μ.

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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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Use Little's Law that 2 custom...

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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?


A) 0.125 minute
B) 0.9 minute
C) 1.5 minutes
D) 7.5 minutes
E) 0.075 hour

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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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The assumptions underlying the standard ...

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


A) population size
B) population behavior
C) population's statistical distribution
D) A and C
E) A, B, and C

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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


A) 0.4
B) 0.133
C) 4.167
D) 4.583
E) 6

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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


A) 0.20
B) 0.40
C) 0.60
D) 0.67
E) 2.5

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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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queue, que...

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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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The costs are the cost of providing serv...

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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?


A) binomial
B) normal
C) Poisson
D) exponential
E) lognormal

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Study of waiting-line models helps operations managers better understand


A) service systems such as bank teller stations
B) maintenance activities that might repair broken machinery
C) shop-floor control activities
D) service systems such as amusement park rides
E) all of the above

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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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