Ordering Tandem Queues in Heavy Traffic
Ordering Tandem Queues in Heavy Traffic
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In our eReader you can find the full English version of the book. Read Ordering Tandem Queues in Heavy Traffic Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Ordering Tandem Queues in Heavy Traffic
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We now derive the optimal order of servers in the special case where one server has exponential service times with mean yi~^ and the other server has a general service time distribution G. Let G*{ii) be the Laplace transform of the general distribution and let the general service times have mean 7"^ and squared coefficient of variation c^. A similar theorem in light traffic was proved by Greenberg and Wolff (1987).
Proposition 3. Expected customer sojourn time is minimized by putting a general ...server in front of an exponentiai server if and only if Proof. As in Greenberg and Wolff, let system A be a tandem queueing system with Poisson arrivals, where the first server has exponential service times and the second server has general service times. Let system B be a queueing system with the servers in the opposite order. Let the exponential service times be denoted by X and the general service times by S. Then the expected sojourn time at the second server in system A is the same 85 the expected sojourn time at the first server in system B, since both servers receive Poisson arrivals.
What to read after Ordering Tandem Queues in Heavy Traffic?
You can find similar books in the "Read Also" column, or choose other free books by Lawrence M Wein to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We now derive the optimal order of servers in the special case where one server has exponential service times with mean yi~^ and the other server has a general service time distribution G. Let G*{ii) be the Laplace transform of the general distribution and let the general service times have mean 7"^ and squared coefficient of variation c^. A similar theorem in light traffic was proved by Greenberg and Wolff (1987).
Proposition 3. Expected customer sojourn time is minimized by putting a general ...server in front of an exponentiai server if and only if Proof. As in Greenberg and Wolff, let system A be a tandem queueing system with Poisson arrivals, where the first server has exponential service times and the second server has general service times. Let system B be a queueing system with the servers in the opposite order. Let the exponential service times be denoted by X and the general service times by S. Then the expected sojourn time at the second server in system A is the same 85 the expected sojourn time at the first server in system B, since both servers receive Poisson arrivals.
What to read after Ordering Tandem Queues in Heavy Traffic?
You can find similar books in the "Read Also" column, or choose other free books by Lawrence M Wein to read onlineMoreLess
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