Part BCSIR NET December 2024the-service-rate-scales-with-busy-servers

The service rate scales with busy servers

Consider an M/M/3 queuing system with arrival rate $λ = 2$ and service rate $μ = 3/2$ . Define, for $i = 1, 2, \dots, I_{i} = 1$ if the first transition is from i to i + 1, and $I_{i} = 0$ if the first transition from i is i − 1. Then, $V a r (I_{4})$ equals

A.33/169
B.34/169
C.35/169
D.36/169✓

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

The service rate scales with busy servers

More on this topic