Exam 25: Queuing Models
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Exam 25: Queuing Models119 Questions
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A system in which the customer receives service from only one station and then exits the system is which of the following?
(Multiple Choice)
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A waiting line meeting the M/M/1 assumptions has an arrival rate of 10 per hour and a service rate of 12 per hour.What is the average time a unit spends in the system and the average time a unit spends waiting (in hours)?
(Essay)
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A queuing model that follows the M/M/1 assumptions has λ = 10 and μ = 12.What is the average number of units in the system?
(Multiple Choice)
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If the service time within a queuing system is constant,the service rate can be easily described by a negative exponential distribution.
(True/False)
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A copy center has five machines that serve many customers throughout the day.The waiting-line system for copy service has an infinite population,while the waiting-line system for copier maintenance has a finite population
(True/False)
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What are Ls and Lq,as used in waiting line terminology? Which is larger,Ls or Lq? Explain.
(Essay)
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A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ= 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
(Essay)
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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.What is the utilization factor?
(Multiple Choice)
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Which one of the following is NOT a characteristic of a Model A or M/M/1 system?
(Multiple Choice)
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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.
(Essay)
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A waiting-line system with one waiting line and three sequential processing stages is a multiple-server,single-phase system.
(True/False)
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The potential restaurant customer who says to her husband,"The line looks too long;let's eat somewhere else," is an illustration of which element of arrival behavior?
(Multiple Choice)
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Waiting-line models are useful to operations in such diverse settings as service systems,maintenance activities,and shop-floor control.
(True/False)
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Which one of the following is NOT a characteristic of a Model C or M/D/1 system?
(Multiple Choice)
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A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 3.What is the average time in the system?
(Multiple Choice)
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