Exam 11: Waiting Line Models

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Queue discipline refers to the assumption that a customer has the patience to remain in a slow moving queue.

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Queue discipline refers to the manner in which waiting units are arranged for service.

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Kendall's notation is helpful when classifying the wide variety of different waiting line models and can indicate that the waiting line system is assumed to have infinite capacity.

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In developing the total cost for a waiting line,waiting cost takes into consideration both the time spent waiting in line and the time spent being served.

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Little's flow equations can apply to a single-server as well as multiple-server waiting line model.

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Which of the following queue disciplines is assumed by the waiting line models presented in the textbook?

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Circle Electric Supply is considering opening a second service counter to better serve the electrical contractor customers.The arrival rate is 10 per hour.The service rate is 14 per hour.If the cost of waiting is $30 and the cost of each service counter is $22 per hour,should the second counter be opened?

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A company has tool cribs where workmen draw parts.Two men have applied for the position of distributing parts to the workmen.George Fuller is fresh out of trade school and expects a $6 per hour salary.His average service time is four minutes.John Cox is a veteran who expects $12 per hour.His average service time is two minutes.A workman's time is figured at $10 per hour.Workmen arrive to draw parts at an average rate of 12 per hour. a.What is the average waiting time a workman would spend in the system under each applicant? b.Which applicant should be hired? ​ ​

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Andy Archer,Ph.D.,is a training consultant for six mid-sized manufacturing firms.On average,each of his six clients calls him for consulting assistance once every 25 days.Andy typically spends an average of five days at the client's firm during each consultation.Assuming the time between client calls follows an exponential distribution,determine a.the average number of clients Andy has on backlog. b.the average time a client must wait before Andy arrives. c.the proportion of time Andy is busy. ​

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For an M/G/1 system with λ = 6,μ = 9,and σ = 0.03,find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

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Decision makers in queuing situations attempt to balance

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A multiple-server waiting line is one that has two or more parallel service facilities.

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The assumption of exponentially distributed service times indicates that

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For an M/G/1 system with λ = 20,μ = 35,and σ = 0.005,find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

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In waiting line systems where the length of the waiting line is limited,the mean number of units entering the system might be less than the arrival rate.

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If arrivals occur according to the Poisson distribution every 20 minutes,then which of the following is NOT true?

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