A queuing model that follows the M/M/1 assumptions has λ = 3 and μ = 2. What is the average number of units in the system?
A) -3
B) 3
C) 0.667
D) 150 percent
E) Growing without limit, since λ is larger than μ.

Question

Quizplus · Accepted Answer

In an M/M/1 queue, the system is stable only if λ < μ, meaning the arrival rate is less than the service rate. If λ is greater than μ, as in this case (λ = 3, μ = 2), the queue will grow indefinitely, leading to an unstable system.

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