## Abstract

A system can be classified with respect to the physical arrangement of its components and the functioning principle. A circular consecutive k-within-m-out-of-n:F system consists of n circularly ordered components and fails if and only if there are m consecutive components that include among them at least k failed components. A circular consecutive k-within-m-out-of-n:F system turns into circular consecutive k-out-of-n:F for m = k and k-out-of-n:F system for m = n. In this study, signature-based analysis of circular consecutive k-within-m-out-of-n:F system is performed. A new approximation to this system is provided based on maximum number of failed components and an illustrative example is given for different values of n, m, k to compare the approximate results with simulated and exact results.

Original language | English |
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Pages (from-to) | 1078-1093 |

Number of pages | 16 |

Journal | Communications in Statistics: Simulation and Computation |

Volume | 43 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 Jan 2014 |

Externally published | Yes |

## Keywords

- Circular consecutive k-within- m-out-of- n:F system
- Exchangeability
- Stochastic ordering
- System signature