Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on non-existence of diffusion limits for serve-the-longest-queue
  when the buffers are equal in size   We consider the serve-the-longest-queue discipline for a multiclass queue
with buffers of equal size, operating under (i) the conventional and (ii) the
Halfin-Whitt heavy traffic regimes, and show that while the queue length
process' scaling limits are fully determined by the first and second order data
in case (i), they depend on finer properties in case (ii). The proof of the
latter relies on the construction of a {\it deterministic} arrival pattern.

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The categories of this paper are: math-ph
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The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: physics