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Lost capacity of the weighted k-out-of-n system with discrete component lifetimes

Author

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  • Goroncy, Agnieszka
  • JasiÅ„ski, Krzysztof
  • Korejwo, Faustyna
  • Rudzate, Marta

Abstract

In this paper we consider a weighted k-out-of-n system. Each component has a positive integer-valued weight assigned interpreted as its total capacity. The system is in a working state if the accumulated weights of all working components are at least k. The component lifetimes may be dependent and non-identically discretely distributed random variables. The primary focus is the capacity lost by the system upon its failure, for which we derive the probability mass function. This quantity has a potential that enables optimal system design. We also provide two numerical examples which give a demonstration of the theoretical results.

Suggested Citation

  • Goroncy, Agnieszka & JasiÅ„ski, Krzysztof & Korejwo, Faustyna & Rudzate, Marta, 2025. "Lost capacity of the weighted k-out-of-n system with discrete component lifetimes," Reliability Engineering and System Safety, Elsevier, vol. 259(C).
    • Handle: RePEc:eee:reensy:v:259:y:2025:i:c:s0951832025001024
    DOI: 10.1016/j.ress.2025.110899
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