A queuing model which 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 utilization of the system (ρ) is given by λ/μ = 2/8 = 0.25 or 25 percent. The average number in the system (Ls) is given by λ/(μ-λ) = 2/(8-2) = 2/6 = 0.33.

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