Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) how long is the (waiting) line on average?

Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) how long is the (waiting) line on average?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) how much time, on average, does a student spend waiting in line?
Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) what is the probability that am arriving student will find at least one other student waiting in line?
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. (Answers in Appendix D)a. What percentage of time is Judy idle?b. How much time, on average, does a student spend waiting in line?c. How long is the (waiting) line, on average?d. What is the probability that an arriving student (just before entering the AdministrativeServices Office) will find at least one other student waiting in line?
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Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. How long is the (waiting) line on average? Note: Round your answer to 2 decimal places. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? Note: Do not round the intermediate calculations. Round your answer to 2 decimal places.
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