A queuing model which follows the M/M/1 assumptions has λ = 3 and μ = 2. The average number in the system is
A) -3.
B) 3.
C) 0.667.
D) 150%.
E) growing without limit, since λ is larger than μ.

Question

Quizplus · Accepted Answer

In an M/M/1 queue, the average number in the system (L) is given by L = λ / (μ - λ) when λ < μ. However, if λ ≥ μ, the queue will grow without limit. Since λ = 3 and μ = 2, λ is larger than μ, meaning the system cannot reach a steady state and the number in the system grows without limit.

A Queuing Model Which Follows the M/M/1 Assumptions Has λ