Exam 18: Waiting Line Models

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First-come, first-served is an unbiased priority rule.

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Which of the following is least likely to be considered an infinite customer population?

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List possible priority rules for waiting line systems.

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If only two cars can physically fit between the ordering and pay window of a fast-food drive-through, the waiting line system has a ____ _____ waiting line.

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Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 60 per hour, and the average (exponentially distributed)service time is 45 seconds per customer. What is the average number of customers waiting in line?

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In a single-line, multi-server, single phase model, customers form a ________ line.

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Reneging occurs when a customer enters a waiting line but decides to exit before being served.

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Consider a single-line, single-server waiting line system. The arrival rate λ is 40 people per hour, and the service rate µ is 80 people per hour. What is the average number of customers in line?

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For a single-server, single-line, single-phase waiting line system, where represents the mean arrival rate of customers and represents the mean service rate, what is the formula for the average number of customers waiting in line?

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For a single-server, single-line, single-phase waiting line system, where represents the mean arrival rate of customers and represents the mean service rate, what is the formula for the average number of customers in the system?

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For a single-server, single-line, single-phase waiting line system, where represents the mean arrival rate of customers and represents the mean service rate, what is the formula for the average utilization of the system?

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Which of the following is not considered to be an element of a waiting line system?

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A single-line service system is best when specialized servers are used.

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Which of the following is not considered to be a valid performance measure of a waiting line system?

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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with a mean rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow the exponential probability distribution, with a mean service rate of 12 requests per hour. a)What is the probability that there are no requests for assistance in the system? b)What is the average number of requests that will be waiting for service? c)What is the average waiting time in minutes before service begins? d)What is the average time at the reference desk in minutes (waiting time plus service time)? e)What is the probability that a new arrival has to wait for service? f)Suppose that another helper could be hired to join the desk, and she would have the same service rate. Assuming that all patrons wait in a single line, what is the new average waiting time in minutes before service begins? g)Instead of the change in question f, suppose that a "super" librarian can be hired who can handle 16 requests per hour. Now what is the average waiting time in minutes before service begins?

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Implementing process improvements or dedication of additional resources is one way to improve:

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Waiting line priority rules determines _________ customer is served _________.

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What are two ways to improve server efficiency?

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Which of the following is not considered to be an element of a waiting line system?

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There are many variations of the mathematical models for designing waiting lines.

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