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How can Calculate the  average waiting time in queue if Lambda > Mu

Posted on 2014-03-10
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Last Modified: 2014-03-10
Hi,

Queue reaches steady state only if p=¿/µ<1

What about id P>= 1 which means blows up what is the appropriate formula use to get the average waiting time in queue?
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Question by:amq10
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TommySzalapski earned 500 total points
ID: 39917665
The average waiting time is infinite in that case because each person will have to wait longer than the one before so as time goes on, wait time is longer and longer.
If N is the count of people who have entered the queue, then the average wait time will be around L + (N-1)*(L-µ)
Using L for Lamba.
So as N approaches infinity, the wait time approaches infinity.
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