In the paper the safety function of a multistate series network with dependent assets, with dependent subnetworks and with dependent assets of its subnetworks is determined. The multistate series-parallel network with dependent assets of its subnetworks and multistate series-“m out of k” network with dependent assets of its subnetworks is considered. Further the multistate parallel and “m out of n” networks with dependent assets are analyzed. The safety function of multistate parallel-series and “m out of l”-series networks with dependent assets of its subnetworks, and finally of multistate parallel-series and “m out of l”-series networks with dependent subnetworks and dependent assets of these subnetworks are determined. Proposed theoretical models of dependency are applied to the safety analysis of the exemplary electricity network. Finally, the obtained results are compared with results for the considered electricity network without assumption about dependencies between assets and subnetworks.
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