A waiting-line system that meets the assumptions of M/M/1 has λ = 1, μ = 4. For this system, P_o is ________ and utilization is ________. A) 0.75; 0.25 B) 0.80; .20 C) -3; -4 D) 3; 4 E) none of these

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Quizplus · Accepted Answer

In an M/M/1 queue, P₀ (the probability that there are zero customers in the system) is calculated as 1 - (λ/μ). Here, λ = 1 and μ = 4, so P₀ = 1 - (1/4) = 0.75. Utilization (ρ) is λ/μ = 1/4 = 0.25.

A Waiting-Line System That Meets the Assumptions of M/M/1 Has