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 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. Here, since λ = 3 is greater than μ = 2, the queue will grow indefinitely, leading to an unstable system.

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