A queuing model which follows the M/M/1 assumptions has λ = 10 and μ = 12. The average number in the system is
A) 0.83
B) 2
C) 2.5
D) 5
E) 6

Question

Quizplus · Accepted Answer

The formula for the average number of customers in the system for an M/M/1 queue is:
L = λ/(μ-λ)

Substituting the given values, we get:
L = 10/(12-10)
L = 5

Therefore, the average number of customers in the system is 5. The closest option is D), which is the correct answer.

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