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.What is the average time a unit spends in this system?
A)approximately 0.1603
B)approximately 0.2083
C)approximately 0.4103
D)approximately 0.8013
E)Cannot be calculated because λ is larger than μ.

Question

Quizplus · Accepted Answer

The average time a unit spends in the system (Ws) is calculated as Ls/λ. Given Ls = 2.05128 and λ = 5, Ws = 2.05128 / 5 = 0.410256, which is approximately 0.4103.

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