Publication: Allocation policies of redundancies in two-parallel-series and two-series-parallel systems
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2013-07
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Abstract
In this paper comparisons of allocation policies of components in two-parallel-series
systems with two types of components are provided with respect to both, the hazard
rate and the reversed hazard rate orders. The main results indicate that the life of
this kind of system is stochastically maximized by unbalancing as much as possible
the two classes of components. We only assume that the two distributions implied
in the model have proportional hazard rates. The same type of comparisons are
also given for the dual model, the two-series-parallel systems but assuming that
the distributions implied in the model have proportional reversed hazard rates, and
therefore the final conclusion is the opposite; that is, the reliability of the system
improves as the similarity between the two parallel subsystems increases
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Keywords
Parallel-series system, Series-parallel system, Redundancy, Hazard rate order, Reversed hazard rate order, Proportional hazard rates