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 number of units waiting in the queue?
A)approximately 0.1603
B)approximately 0.4103
C)approximately 0.8013
D)approximately 1.0417
E)Cannot be calculated because λ is larger than μ.

Question

Quizplus · Accepted Answer

The average number of units in the system (Ls) is given as 2.05128. The average number of units in service is λ/μ = 5/4 = 1.25. Therefore, the average number of units waiting in the queue (Lq) is Ls - (λ/μ) = 2.05128 - 1.25 = 0.80128, which is approximately 0.8013.

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