Exam 13: Queuing Models
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Exam 12: Inventory and Supply Chain Models30 Questions
Exam 13: Queuing Models30 Questions
Exam 14: Regression and Forecasting Models30 Questions
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Exponentially distributed service times are often more realistic than exponentially distributed interarrival times.
(True/False)
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A queuing system where customers join a single line and then are served by the first available server are said to be:
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Exhibit 13-1A grocery store manager would like to use an analytical queueing model to study the lines of customers that form in front of the checkout stations in the store. During a period of time when business is steady, several store employees have gathered data on customer interarrival times, which are shown below.
-[Part 1] Refer to Exhibit 13-1. Is it reasonable to assume exponentially distributed interarrival times for the grocery store customers? If so, what is λ?
![Exhibit 13-1A grocery store manager would like to use an analytical queueing model to study the lines of customers that form in front of the checkout stations in the store. During a period of time when business is steady, several store employees have gathered data on customer interarrival times, which are shown below. -[Part 1] Refer to Exhibit 13-1. Is it reasonable to assume exponentially distributed interarrival times for the grocery store customers? If so, what is λ?](https://storage.examlex.com/TB6344/11ea5eb7_37aa_fc92_b73a_f31de294b665_TB6344_00_TB6344_00_TB6344_00.jpg)
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Exhibit 13-3A Credit Union has a small branch in which a single customer service representative serves the needs of customers who arrive at an average rate of 24 per hour. The service representative can typically handle 30 customers per hour. Based on an analysis of historical data, it is reasonable to assume that customer interarrival times and service times are exponentially distributed. Assume that all arriving customers enter the branch, regardless of the number already waiting in line.
-Refer to Exhibit 13-3. What percentage of all customers have to spend at least some small amount of time waiting in line?
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The server utilization U in an M/M/s system is always the same as the traffic intensity.
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The parameter λ in an exponential distribution can be interpreted as a:
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Exhibit 13-2An oil-change facility serves customers that enter at a rate of 8 per hour. There are five servers available to perform oil changes for entering customers. Customers wait in a single line and enter the facility, in first-come-first-serve fashion, to the first of the five servers who is available. Each server can change the oil of one customer's car every 30 minutes on average.
-Refer to Exhibit 13-2. What is the server utilization?
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