GATE 2024 PI – Question 24

Operations Research and Operations Management · Operations Research · 1 mark · Multiple choice

In a single-server Markovian queue, Poisson arrivals imply what interarrival-time distribution?

Show answer and explanation

Correct answer: (C) Exponential

Explanation

For a Poisson process of rate λ, $P(T>t)=P(N(t)=0)=e^{-\lambda t}$. Thus waiting time to the next arrival is **exponential, C**.

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