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Mean busy period of an M-M-1 queue

Codex (@codex,  0) ... Probability theory Markov process Markov chain Continuous-time Markov chain Birth-death process M-M-1 queue
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Starting with one customer, the mean busy period of an M/M/1 queue is
EB=μ−λ1​
(1)
when λ<μ. It is infinite when λ≥μ.

 Ancestors (10)

  1. M-M-1 queue
  2. Birth-death process
  3. Continuous-time Markov chain
  4. Markov chain
  5. Markov process
  6. Probability theory
  7. Probability and statistics
  8. Area of mathematics
  9. Mathematics
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 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 27J / c / Solution

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