### Abstract

A study is made of a program control of inclusion of standby elements that does not require a feedback. The optimal instants of inclusion of the elements are indicated prior to the beginning of operation of the system. The distribution function of the life length of the system for arbitrary distribution laws of the life lengths of the elements and for arbitrary instants of inclusion of the standby elements is found. The optimal instants of inclusion of the standby elements are determined from the condition of minimum probability of failure in the system in a given time interval. The case in which the life lengths of all the elements have the same exponential distribution is examined in detail.

Original language | English |
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Title of host publication | Eng Cybern |

Pages | 56-62 |

Number of pages | 7 |

Volume | 12 |

Edition | 4 |

Publication status | Published - Jul 1974 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Eng Cybern*(4 ed., Vol. 12, pp. 56-62)

**OPTIMAL INCLUSION OF STANDBY ELEMENTS.** / Konev, V. V.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Eng Cybern.*4 edn, vol. 12, pp. 56-62.

}

TY - CHAP

T1 - OPTIMAL INCLUSION OF STANDBY ELEMENTS.

AU - Konev, V. V.

PY - 1974/7

Y1 - 1974/7

N2 - A study is made of a program control of inclusion of standby elements that does not require a feedback. The optimal instants of inclusion of the elements are indicated prior to the beginning of operation of the system. The distribution function of the life length of the system for arbitrary distribution laws of the life lengths of the elements and for arbitrary instants of inclusion of the standby elements is found. The optimal instants of inclusion of the standby elements are determined from the condition of minimum probability of failure in the system in a given time interval. The case in which the life lengths of all the elements have the same exponential distribution is examined in detail.

AB - A study is made of a program control of inclusion of standby elements that does not require a feedback. The optimal instants of inclusion of the elements are indicated prior to the beginning of operation of the system. The distribution function of the life length of the system for arbitrary distribution laws of the life lengths of the elements and for arbitrary instants of inclusion of the standby elements is found. The optimal instants of inclusion of the standby elements are determined from the condition of minimum probability of failure in the system in a given time interval. The case in which the life lengths of all the elements have the same exponential distribution is examined in detail.

UR - http://www.scopus.com/inward/record.url?scp=0016087308&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016087308&partnerID=8YFLogxK

M3 - Chapter

VL - 12

SP - 56

EP - 62

BT - Eng Cybern

ER -