APPROXIMATIONS TO SYSTEM RELIABILITY USING A MODULAR DECOMPOSITION
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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Esary and Proschan show that a lower bound to system reliability can be found by enumerating all min cut sets in the coherent structure, connecting the components in each min cut set in parallel and joining each of these parallel subsystems in series where replicated components are replaced by identical yet independently operating components. A module of a coherent structure is a subset of the basic components of the system which can be treated as a component of the system due to their substructure topology. In this paper, it is shown that a lower bound estimate of system reliability can be derived by decomposing the coherent structure about its modules and applying the Esary- Proschan lower bound procedure to each module and then to the resultant coherent structure where each module has been replaced by a single component whose reliability is the Esary-Proschan lower bound to that module.
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems