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

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Quizplus · Accepted Answer

The average number in the system (L) is calculated using the formula L = λ / (μ - λ), where λ = 2 and μ = 8. Substituting these values gives L = 2 / (8 - 2) = 2 / 6 = 0.33. The utilization of the system (ρ) is calculated using the formula ρ = λ / μ, which gives ρ = 2 / 8 = 0.25 or 25%.

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