Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Average Case - Worst Case Tradeoffs for Evacuating 2 Robots from the
  Disk in the Face-to-Face Model   The problem of evacuating two robots from the disk in the face-to-face model
was first introduced in [Czyzowicz et al., DISC'14], and extensively studied
(along with many variations) ever since with respect to worst case analysis. We
initiate the study of the same problem with respect to average case analysis,
which is also equivalent to designing randomized algorithms for the problem.
First we observe that algorithm $B_{2}$ of~[Czyzowicz et al., DISC'14] with
worst case cost $WRS(B_{2}):=5.73906$ has average case cost
$AVG(B_{2}):=5.1172$. Then we verify that none of the algorithms that induced
worst case cost improvements in subsequent publications has better average case
cost, hence concluding that our problem requires the invention of new
algorithms. Then, we observe that a remarkable simple algorithm, $B_{1}$, has
very small average case cost $AVG(B_{1}):=1+\pi$, but very high worst case cost
$WRS(B_{1}):=1+2\pi$.
  Motivated by the above, we introduce constrained optimization problem
$_2Evac_{F2F}^w$, in which one is trying to minimize the average case cost of
the evacuation algorithm given that the worst case cost does not exceed $w$.
The problem is of special interest with respect to practical applications,
since a common objective in search-and-rescue operations is to minimize the
average completion time, given that a certain worst case threshold is not
exceeded, e.g. for safety or limited energy reasons. Our main contribution is
the design and analysis of families of new evacuation parameterized algorithms
$A(p)$ which can solve $_2Evac_{F2F}^w$, for every $w \in
[WRS(B_{1}),WRS(B_{2})]$.

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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th