Analysis of the evolution of peer-to-peer systems
Proceedings of the twenty-first annual symposium on Principles of distributed computing
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In this article there is an attempt to investigate a counting process with variable number of Poisson working nodes producing output. Servers' quantity here is a stochastic variable. Some formulae for the counting process are received and compared with well known results of corresponding evaluations using degenerate probability as server distribution. In calculation virtual time concept was used as time mapping (shrinking) from system with variable quantity nodes to single server one.