Heavy Traffic Analysis of Polling Systems in Tandem
Heavy Traffic Analysis of Polling Systems in Tandem
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In our eReader you can find the full English version of the book. Read Heavy Traffic Analysis of Polling Systems in Tandem 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 Heavy Traffic Analysis of Polling Systems in Tandem
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6). There are six blocks of service in a cycle, which alternate in length between c^ K'l - i^ 2 is straightforward. ) Yamada (1986) also proves a heavy traffic limit theorem for tandem networks with state dependent service rate that gives some backing to our Jissumption here of convergence (especially in light of the discussion in CPRII linking their result to an earlier result of Yamada 1984).
Although the existence of our process is covered by Yamada (1986), there are no results that characte...r'ze the stationary distribution of the process. We conjecture that the station- ary distribution has a product form, with the first marginal a ganmia distribution (obtained as the stationary distribution of a one-dimensional Bessel process), and the other marginals exponential. In particular, we conjecture that 7r(. Ri i-k) = ril3+l)' ' ■"■' ^ 0' 1 ^ '■ ^ ^'' ' where f3 = Xp^pBS.
The current theory of multidimensional diffusion processes does not provide a means of verifying the above conjecture.
What to read after Heavy Traffic Analysis of Polling Systems in Tandem?
You can find similar books in the "Read Also" column, or choose other free books by Martin I Reiman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
6). There are six blocks of service in a cycle, which alternate in length between c^ K'l - i^ 2 is straightforward. ) Yamada (1986) also proves a heavy traffic limit theorem for tandem networks with state dependent service rate that gives some backing to our Jissumption here of convergence (especially in light of the discussion in CPRII linking their result to an earlier result of Yamada 1984).
Although the existence of our process is covered by Yamada (1986), there are no results that characte...r'ze the stationary distribution of the process. We conjecture that the station- ary distribution has a product form, with the first marginal a ganmia distribution (obtained as the stationary distribution of a one-dimensional Bessel process), and the other marginals exponential. In particular, we conjecture that 7r(. Ri i-k) = ril3+l)' ' ■"■' ^ 0' 1 ^ '■ ^ ^'' ' where f3 = Xp^pBS.
The current theory of multidimensional diffusion processes does not provide a means of verifying the above conjecture.
What to read after Heavy Traffic Analysis of Polling Systems in Tandem?
You can find similar books in the "Read Also" column, or choose other free books by Martin I Reiman to read onlineMoreLess
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