IE143-SQ08 - a. Find L q . (1 point) b. What is the maximum...

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NAME: GROUP LEADER: University of the Philippines – Diliman Department of Industrial Engineering and Operations Research IE 143 Short Quiz Short Quiz 8 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. The average number of customers in a certain single-server system is 3. Furthermore, average service time per customer is clocked at 2 minutes, while average arrival rate is 15 per hour. Find the probability that the server is idle. (1 point) 2. The number of people in queue for a certain two-server system can be 0, 1, or 2 with probabilities 0.7, 0.2, and 0.1 respectively. When there is no queue, each server is equally likely to be idle or occupied independently of the other server. Service time on either server has a mean of 2 minutes per customer.
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Unformatted text preview: a. Find L q . (1 point) b. What is the maximum number of people in the system? (1 point) c. Find P , P 1 , P 2 . (3 points) d. Find L. (1 point) e. Find W. (1 point) 3. Consider an (M/G/1/∞/∞/FCFS) queuing system with average arrival rate of 2 per minute and average service duration of 1 minute (variance = 1 minute 2 ). Find the probability that the system is idle. (1 point) 4. Consider an (M/G/1/∞/∞/FCFS) queuing system with average arrival rate of 2 per minute and average service duration of 1/3 minutes (variance = 1 minute 2 ). Find the average number of people in the system. (1 point) BONUS : Name one important news item for February (local or international). (1 point)...
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