Exam 13: Waiting Lines and Queuing Theory Models
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Exam 13: Waiting Lines and Queuing Theory Models133 Questions
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On a practical note - if we were to study the waiting lines in a hair salon that had only five chairs for patrons waiting, we should use an infinite queue waiting line model.
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The wait time for a single-channel system is more than twice that for a two-channel system using two servers working at the same rate as the single server.
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Table 13-1
-According to the information provided in Table 13-1, what proportion of time is at least one server busy?

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Table 13-4
-According to Table 13-4, which presents a queuing problem with a constant service rate, on average, how many minutes does a customer spend in the service facility?

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Queuing theory had its beginning in the research work of Albert Einstein.
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Lines at banks where customers wait for a teller window are usually representative of a
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Which of the following is not a valid queuing model based on the Kendall notation?
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A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, how much time will elapse (in hours) from the time a customer enters the line until he/she leaves the restaurant?
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Which of the following is not an assumption for the M/M/1 model with finite population source?
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A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an normal distribution. What type of queuing model applies here?
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Assume that we are using a waiting line model to analyze the number of service technicians required to maintain machines in a factory. Our goal should be to
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At an automatic car wash, cars arrive randomly at a rate of 7 every 30 minutes. The car wash takes exactly 4 minutes (this is constant). On average, how long would each driver have to wait before receiving service?
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A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers waiting in line behind the person being served?
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A hospital ward with only 30 beds could be modeled using a finite population model.
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Little's Flow Equations are advantageous because if one characteristic of the operating system is known, the other characteristics can be easily found.
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The goal of most waiting line problems is to identify the service level that minimizes service cost.
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An automatic car wash is an example of a constant service time model.
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