Exam 24: Waiting-Line Models

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The cost of waiting decreases as the service level increases.

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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;queuing theory

Most banks have changed from having a line in front of each teller to a system where one line feeds all tellers.Which system is better? Why?

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It is inherently more efficient to have a queuing system whereby one line feeds all tellers.

A(n)________ queuing system has one line and one server.

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A queuing model which follows the M/M/1 assumptions has λ = 10 and μ = 12.The average number in the system is

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Suppose that customer arrivals are governed by a Poisson distribution.If the average arrival rate is 60 customers each hour,how many times will 60 customers arrive during a one hour period for each time that only 40 customers arrive.

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Why must the service rate be greater than the arrival rate in a single-channel system?

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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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A(n)________ queuing system has one waiting line,but several servers;a(n)________ queuing system is one in which the customer receives services from several stations before exiting the system.

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The sign at the bank that reads "Wait here for the first available teller" suggests the use of a ________ waiting line system.

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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?

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In a finite or limited population waiting line,the ________ is calculated from the average service time and average time between service requirements before the problem can be completed.

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What does it mean to have a patient customer in a waiting line?

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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.How many students,on the average,will be waiting in line at any one time?

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A finite population waiting line model with a single server has an average service time T of 50 minutes and an average time between service requirements U of 350 minutes.Calculate the service factor X.If the population consists of 5 elements,what are the average number waiting,the average number being serviced,and the average number running? Refer to Table D.8 in the text.

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Genco,Inc. ,a small manufacturer of diesel-generator sets has four shearing machines.Because of the age of these machines,they need minor repairs after 30 hours of use.Analysis of previous breakdowns indicates that breakdowns follow a Poisson distribution.The facility employs one repairman specifically to repair these machines.Average repair time is two hours following an exponential distribution. a.What is the service factor for this system? b.What is the average number of these machines in service? c.What is the impact of adding a second repairman?

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A(n)________ queuing system is one in which the customer receives service from only one station and then exits the system.

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Which one of the following is not a characteristic of a Model A or M/M/1 system?

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Waiting-line models are useful to operations in such diverse settings as service systems,maintenance activities,and shop-floor control.

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Which of the following is an example of a finite arrival population?

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