A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8.The average number in the system Ls is ________ and the utilization of the system is ________.
A)3;100 percent
B)0.33;25 percent
C)4;33 percent
D)6;25 percent
E)4;25 percent

Question

Quizplus · Accepted Answer

The average number in the system Ls for an M/M/1 queue is given by Ls = λ / (μ - λ). Here, Ls = 2 / (8 - 2) = 0.33. The utilization of the system is given by ρ = λ / μ = 2 / 8 = 0.25 or 25 percent.

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