Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean Field Models of Message Throughput in Dynamic Peer-to-Peer Systems   The churn rate of a peer-to-peer system places direct limitations on the rate
at which messages can be effectively communicated to a group of peers. These
limitations are independent of the topology and message transmission latency.
In this paper we consider a peer-to-peer network, based on the Engset model,
where peers arrive and depart independently at random. We show how the arrival
and departure rates directly limit the capacity for message streams to be
broadcast to all other peers, by deriving mean field models that accurately
describe the system behavior. Our models cover the unit and more general k
buffer cases, i.e. where a peer can buffer at most k messages at any one time,
and we give results for both single and multi-source message streams. We define
coverage rate as peer-messages per unit time, i.e. the rate at which a number
of peers receive messages, and show that the coverage rate is limited by the
churn rate and buffer size. Our theory introduces an Instantaneous Message
Exchange (IME) model and provides a template for further analysis of more
complicated systems. Using the IME model, and assuming random processes, we
have obtained very accurate equations of the system dynamics in a variety of
interesting cases, that allow us to tune a peer-to-peer system. It remains to
be seen if we can maintain this accuracy for general processes and when
applying a non-instantaneous model.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: eess