Mathematics · Queueing Theory
Consider an M/M/1 queue in which customers arrive according to a Poisson process with rate 3 and successive service times are independent exponential random variables having mean 1/9. Let Pn be the long-run probability that there are exactly n customers in the system. Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1P0 = 13
- 2P1 = 29
- 3The average number of customers in the system is 1
- 4The average amount of time that a customer spends in the system is 16✓
Correct answer
The average amount of time that a customer spends in the system is 16
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