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More on optimal allocation of components in coherent systems. (English) Zbl 0855.62087

Summary: More applications of the principle for interchanging components due to P. J. Boland et al. [Nav. Res. Logist. 36, No. 6, 807-815 (1989; Zbl 0685.90047)] in reliability theory are presented. In the context of active redundancy improvement we show that if two nodes are permutation equivalent then allocating a redundancy component to the weaker position always results in a larger increase in system reliability, which generalizes a previous result due to P. J. Boland et al. [Adv. Appl. Probab. 24, No. 1, 161-171 (1992; Zbl 0748.62053)]. In the case of standby redundancy enhancement, we prove that a series (parallel) system is the only system for which standby redundancy at the component level is always more (less) effective than at the system level. Finally, the principle for interchanging components is extended from binary systems to the more complicated multistate systems.

MSC:

62N05 Reliability and life testing
90B25 Reliability, availability, maintenance, inspection in operations research
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