IE143-SQ07 - begins for you(1 point b What is the expected...

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NAME: University of the Philippines – Diliman Department of Industrial Engineering and Operations Research IE 143 Short Quiz Short Quiz 7 10 out of 10 All answers and relevant solutions should be written on the back of this questionnaire or on the blank area at the bottom of this page. 1. A certain queueing system follows an M/M/2/∞/∞/FCFS model with arrival rate λ and service rate μ for each server. You arrive and find that there are already four people in the system (excluding you). a. What is the expected length of time before service
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Unformatted text preview: begins for you? (1 point) b. What is the expected length of time from now until service ends for you? (1 point) c. What is the expected length of time until the system transitions to another state? (1 point) 2. A certain queueing system follows an M/M/4/4/∞/FCFS model with arrival rate 5 per minute (while system is not yet full) and service rate 6 per minute for each server. a. Draw the rate diagram for this model. (3 points) b. What is the average arrival rate? (3 points) c. Find the expected queue length. (1 point)...
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