Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Control of Storage Regeneration with Repair Codes   High availability of containerized applications requires to perform robust
storage of applications' state. Since basic replication techniques are
extremely costly at scale, storage space requirements can be reduced by means
of erasure or repairing codes. In this paper we address storage regeneration
using repair codes, a robust distributed storage technique with no need to
fully restore the whole state in case of failure. In fact, only the lost
servers' content is replaced. To do so, new cleanslate storage units are made
operational at a cost for activating new storage servers and a cost for the
transfer of repair data. Our goal is to guarantee maximal availability of
containers' state files by a given deadline. activation of servers and
communication cost. Upon a fault occurring at a subset of the storage servers,
we aim at ensuring that they are repaired by a given deadline. We introduce a
controlled fluid model and derive the optimal activation policy to replace
servers under such correlated faults. The solution concept is the optimal
control of regeneration via the Pontryagin minimum principle. We characterise
feasibility conditions and we prove that the optimal policy is of threshold
type. Numerical results describe how to apply the model for system dimensioning
and show the tradeoff between

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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc