Mathematics · Queueing Theory
Consider an M/M/1 queue at steady state with traffic intensity ρ ∈ (0, 1). Let f(ρ) be the expected waiting time of a customer in the queue. Which of the following statements is NOT true?
- 1f attains its maximum at ρ = 1 2✓
- 2f is convex in (0, 1)
- 3f is a smooth function in (0, 1)
- 4f is increasing in ρ
Correct answer
f attains its maximum at ρ = 1 2
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