Parameter estimation and cooperative effects in queueing networks

Authors:
Gurami Tsitsiashvili;Marina Osipova
Affiliations:
Institute for Applied Mathematics, Far Eastern Branch of RAS, Vladivostok, Russia;Institute for Applied Mathematics, Far Eastern Federal University, Vladivostok, Russia
Venue:
WSEAS Transactions on Mathematics
Year:
2012

Citing 4
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Abstract

This paper is devoted to probability-statistical analysis of Jackson opened and closed networks. A problem of an estimation of product limit distributions parameters using load coefficients of network nodes is solved. Cooperative effects in aggregated opened and closed networks are investigated and optimization procedures of their limit deterministic characteristics are constructed. Formulas of a calculation of limit distributions in superpositions of networks (nodes are replaced by opened networks) are obtained.