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Allocations of Cold Standbys to Series and Parallel Systems with Dependent Components
In the context of industrial engineering, cold-standby redundancies
allocation strategy is usually adopted to improve the reliability of coherent
systems. This paper investigates optimal allocation strategies of cold standbys
for series and parallel systems comprised of dependent components with
left/right tail weakly stochastic arrangement increasing lifetimes. For the
case of heterogeneous and independent matched cold standbys, it is proved that
better redundancies should be put in the nodes having weaker [better]
components for series [parallel] systems. For the case of homogeneous and
independent cold standbys, it is shown that more redundancies should be put in
standby with weaker [better] components to enhance the reliability of series
[parallel] systems. The results developed here generalize and extend those
corresponding ones in the literature to the case of series and parallel systems
with dependent components. Numerical examples are also presented to provide
guidance for the practical use of our theoretical findings.Comment: 28 page