Question:-
In a single server queue customers are server at a rate of m. If W and Wq represent the mean waiting time in the system and mean waiting time in the queue respectively, then W will be equal to :
Option (A)
Wq - m
Option (B)
Wq + m
Option(C)
Wq + 1/m
Option(D)
Wq - 1/m
Correct Option:
(C)
Question Solution:
W = (Ls/l) = (1/l) {r/ (1-r)}
wq = (Lq/l) = (1/l) {r2/(1-r)}
\ w = (Ls/l) = ((Lq + r)/l) = (Lq/l) + (r/l)
= (Lq / l) + (l/(m x l)) = (Lq / l) + (1/m)
= wq = (1/m)
question-answer-faq-8715