Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling arrival and service rates to reduce sensitivity of queueing
  systems with customer abandonment   The Erlang A model--an M/M/s queue with exponential abandonment--is often
used to represent a service system with impatient customers. For this system,
the popular square-root staffing rule determines the necessary staffing level
to achieve the desirable QED (quality-and-efficiency-driven) service regime;
however, the rule also implies that properties of large systems are highly
sensitive to parameters. We reveal that the origin of this high sensitivity is
due to the operation of large systems at a point of singularity in a phase
diagram of service regimes. We can avoid this singularity by implementing a
congestion-based control (CBC) scheme--a scheme that allows the system to
change its arrival and service rates under congestion. We analyze a modified
Erlang A model under the CBC scheme using a Markov chain decomposition method,
derive non-asymptotic and asymptotic normal representations of performance
indicators, and confirm that the CBC scheme makes large systems less sensitive
than the original Erlang A model.

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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph