A waiting-line system that meets the assumptions of M/M/S has λ = 5,μ = 4,and M = 2.For these values,Po is approximately 0.23077 and Ls is approximately 2.05128.The average number of units waiting in the queue
A)is approximately 0.1603.
B)is approximately 0.4103.
C)is approximately 0.8013.
D)is approximately 1.0417.
E)cannot be calculated because λ is larger than μ.

Question

Quizplus · Accepted Answer

The average number of units waiting in the queue (Lq) can be calculated using the formula Lq = Ls - (λ/μ). Given Ls = 2.05128, λ = 5, and μ = 4, Lq = 2.05128 - (5/4) = 0.80128, which is approximately 0.8013.

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