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Using PASTA (Poisson Arrivals See Time Average) property, the loss probability for high-priority batch of size (k) is begin{aligned} P hbox {HP batch of size }khbox { loss})= sum _{i=(N+K_{mathrm{HP}}-k+1)^+}^{N+K_{mathrm{HP}}}pi _i, end{aligned} (20 where ((x)^+=max (x,0)).
For the high-priority class, batch of size (k) is rejected only if the number of high-priority customers in the system is more than ((N+K_{mathrm{HP}} -k) upoN+K_{mathrm{HP}} -k
When the WBA rule is applied, the probability that the customer in batch of size (k) is dropped is equal to the probability that the batch itself is dropped.
end{aligned} (21 For the low-priority class, a batch of size (k) is always dropped with probability (p_{mathrm{dropp}}) if there are more than (K_{mathrm{LP}}-m_2) low-priority customers in the system.
nonumber end{aligned} (29 If a high-priority customer arrives in (k th position of batch of size (r) and sees (i) other high-priority customers in the system (provided that a batch is accepted), then the Laplace transform of the system time distribution of that customer is given by (S_{i+k}(s)).
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Data was processed in batches of size of 128.
The data partitions are batched in batches of size where is the number of available processor cores, in our setup.
In batch sampling, locations are chosen in batches of size b>1, allowing each new batch, {x k+1),…,x k+b)}, to depend on data obtained at locations x1,…,xkb.
Given the attribute list, if all the possible patterns were not evaluated in one iteration, or if one prefers to evaluate patterns in smaller batches of size m, one needs to start over with a new batch of n-tuples.
The arrays were normalized in batches of size 100 (because of memory size limitations) using the function RMA in the affy library [ 87] of Bioconductor and finally all batches were rescaled together using the "quantile" method of the limma library [ 88] of Bioconductor, implemented in the Babelomics [ 89] platform.
We downloaded the raw data (.CEL files) for the 3034 arrays, normalized them in batches of size 100 (because of memory size limitations) using the function RMA in the affy library of Bioconductor [ 28] and finally rescaled all batches together using the "quantile" method implemented in the limma library of Bioconductor [ 29].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com