Elementary Properties of Clock Regulated Queues
Elementary Properties of Clock Regulated Queues
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In our eReader you can find the full English version of the book. Read Elementary Properties of Clock Regulated Queues 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 Elementary Properties of Clock Regulated Queues
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22) ^0) = iif^(l-f).
As for u'(j), either the queue has length j and the message is taken first, or the length is ; — 1 and it is taken second. Together, then, w{j) = (1 — |)p(j) + |p(j — 1): (2. 23) w(j) = ^-f i-dl-f=\ for J > 0. It readily follows from (2. 16) that (2. 24) „■(. , = f. , .. I^l_£LfI.
The average waiting time is thus ^ dx '^-^ 4(1 -p)' The fact that this is identical to the mean queue length (2. IS) divided by the mean arrival rate p is an immediate consequence of Little's form...ula [4]. However. (2. 24) allows all of the moments to be found just as easily.
3. The Output Process of the Queue A queue transforms an input time process into an output time process. Since the i. I. D. Input assumption proliferates throughout the literature, it is of interest to find the characteristics of the associated output, which of course serves in part as input to the next stage. As a first step, let us examine the probability ^„ of returning to the origin for the first time at the nth step (i.
What to read after Elementary Properties of Clock Regulated Queues?
You can find similar books in the "Read Also" column, or choose other free books by O E Percus to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
22) ^0) = iif^(l-f).
As for u'(j), either the queue has length j and the message is taken first, or the length is ; — 1 and it is taken second. Together, then, w{j) = (1 — |)p(j) + |p(j — 1): (2. 23) w(j) = ^-f i-dl-f=\ for J > 0. It readily follows from (2. 16) that (2. 24) „■(. , = f. , .. I^l_£LfI.
The average waiting time is thus ^ dx '^-^ 4(1 -p)' The fact that this is identical to the mean queue length (2. IS) divided by the mean arrival rate p is an immediate consequence of Little's form...ula [4]. However. (2. 24) allows all of the moments to be found just as easily.
3. The Output Process of the Queue A queue transforms an input time process into an output time process. Since the i. I. D. Input assumption proliferates throughout the literature, it is of interest to find the characteristics of the associated output, which of course serves in part as input to the next stage. As a first step, let us examine the probability ^„ of returning to the origin for the first time at the nth step (i.
What to read after Elementary Properties of Clock Regulated Queues?
You can find similar books in the "Read Also" column, or choose other free books by O E Percus to read onlineMoreLess
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