In an M/M/1 queue, customers arrive at the rate of λ = 15 per hour. What is the minimum server rate to ensure that 1. the sever is idle at least 10% of the time 2. the expected value of the queue length is not to exceed 10? 3. the probability that at least 20 people in the queue is at most 50%.

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter29: Service-entrance Calculations
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 In an M/M/1 queue, customers arrive at the rate of λ = 15 per hour. What
is the minimum server rate to ensure that
1. the sever is idle at least 10% of the time
2. the expected value of the queue length is not to exceed 10?
3. the probability that at least 20 people in the queue is at most 50%.

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