Exam 19: Waiting Line Models

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Describe the relative benefits of using a single-line system vs. a multi-line 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 number of customers in the system?

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Which of the following waiting line systems best describes a bank with a single waiting line that feeds customers to multiple identical servers?

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Services require a single activity or a series of activities and are identified by the term phase.

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Consider a single-server queuing system (with Poisson arrivals and exponential service times). If the arrival rate is 30 units per hour, and each customer takes 30 seconds on average to be served, what is the average length of the line?

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What are some variations of the mathematical waiting line models that are not described in Supplement C?

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

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Visitors to a major amusement park would be considered a finite customer population.

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The two elements that define a waiting line system are (1) the population source of its customers and (2) the process or service system itself.

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System server capacity is a function of ______ and _______.

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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 100 per hour. The manager does not want customers to be in the system for longer than 12 minutes. How fast does the average (exponentially distributed) service time need to be in minutes in order to keep the manager satisfied?

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Consider a single-line, single-server waiting line system. The arrival rate λ is 80 people per hour, and the service rate μ is 120 people per hour. What is the probability of having 3 or more units in 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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Which of the following is least likely to be considered an infinite customer population?

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A customer population is called finite when the number of potential new customers is not affected by the number of customers already in the system.

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Which of the following is not an assumption of the waiting line models presented in the textbook?

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The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The system is set up as a single channel, first come first served, multi-server system. a) What is the utilization of the service center? b) What is the probability that no copiers will be in the system? c) What is the average number of copiers waiting in line? d) What is the average time a copier is waiting to be repaired? e) What is the average number of copiers in the system?

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Waiting line models are important to a company because they directly affect customer service _________.

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What occurs when a customer enters one line and then switches to a different line in an effort to reduce his or her waiting time?

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

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