A two-unit general parallel system with (n−2) cold standbys – analytic and simulation approach

A two-unit general parallel system with (n−2) cold standbys – analytic and simulation approach

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Article ID: iaor20084435
Country: Netherlands
Volume: 176
Issue: 2
Start Page Number: 1016
End Page Number: 1032
Publication Date: Jan 2007
Journal: European Journal of Operational Research
Authors: ,
Keywords: simulation: analysis
Abstract:

A parallel (2, n−2)-system is investigated here where two units start their operation simultaneously and any one of them is replaced instantaneously upon its failure by one of the (n−2) cold standbys. We assume availability of n non-identical, non-repairable units for replacement or support. The system reliability is evaluated by recursive relations with unit-lifetimes Ti (i = 1, … , n) that have a general joint distribution function F(t). On the basis of the derived expression, simulation techniques have been developed for the evaluation of the system reliability and the mean time to failure, useful when dealing with large systems or correlated unit-lifetimes and less mathematically manageable distributions. Simulation results are presented for various lifetime distributions and comparisons are made with derived analytic results for some special distributions and moderate values of n.

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