Modelling of the nodes immunity change process in network system

In this paper we analyze the additive hazard distribution modelling in the network system with non-constant nodes’ immunities. Nodes’ immunities depend on number of cycle and unknown parameter that is defined as random variable. Bayesian approach is applied for the updating of the estimate of this r...

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Bibliographic Details
Published inLietuvos matematikos rinkinys Vol. 48; no. proc. LMS
Main Authors Benas Jokšas, Juozas Augutis, Inga Žutautaitė-Šeputienė
Format Journal Article
LanguageEnglish
Published Vilnius University Press 21.12.2008
Subjects
Bayesian approach
non-constant immunity modelling
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Summary:In this paper we analyze the additive hazard distribution modelling in the network system with non-constant nodes’ immunities. Nodes’ immunities depend on number of cycle and unknown parameter that is defined as random variable. Bayesian approach is applied for the updating of the estimate of this random variable. In this study we are interested in how many cycles can system work under influence of the hazard in the network or how many cycles are required to reduce amount of the nodes’ hazard to the safe level. Obtained results can be used in the prediction of system’ lifetime and accident analysis. Numerical experiment was performed to illustrate application of developed algorithm.
ISSN:0132-2818
2335-898X
DOI:10.15388/LMR.2008.18097