The Undergraduate Advising office in a small university has one advisor who works eight hours a...
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The Undergraduate Advising office in a small university has one advisor who works eight hours a day. Throughout the day students arrive at an average of one every 12 minutes, and their requests take on average 7.5 minutes to process. Assume that the conditions for the Model A waiting line hold. a. What percentage of the time is the advisor idle? b. How much time, on average, does a student spend waiting in line? c. How much time, on average, does the student spend in the system (that is, waiting and being serviced)? d. What is the average number of students waiting in line? e. Find the probability that there are exactly 3 students in the system (that is, waiting and being serviced) f. Find the probability that there are more than 3 students waiting in line. The Undergraduate Advising office in a small university has one advisor who works eight hours a day. Throughout the day students arrive at an average of one every 12 minutes, and their requests take on average 7.5 minutes to process. Assume that the conditions for the Model A waiting line hold. a. What percentage of the time is the advisor idle? b. How much time, on average, does a student spend waiting in line? c. How much time, on average, does the student spend in the system (that is, waiting and being serviced)? d. What is the average number of students waiting in line? e. Find the probability that there are exactly 3 students in the system (that is, waiting and being serviced) f. Find the probability that there are more than 3 students waiting in line.
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To solve this problem use the MM1 queuing model where arrivals follow a Poisson process and service ... View the full answer
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Managerial Accounting Decision Making and Motivating Performance
ISBN: 978-0137024872
1st edition
Authors: Srikant M. Datar, Madhav V. Rajan
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