## Handbook of Reliability EngineeringHandbook for the computation and empirical estimation of reliability. Introduces an incomparable volume of easily applicable, cutting-edge results originated by prominent Russian reliability specialists. Completely covers probabilistic reliability, statistical reliability and optimization with simple, step-by-step, numerical examples. Offers a broad range of applications in engineering, operations research, cost analysis and project management. Explores reliability software extensively. Includes appendices with summary reviews of mathematical and statistical fundamentals. |

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### Contents

BASIC CONCEPTS MEASURES AND DEFINITION | 3 |

Sections 6 1 6 2 6 4 and 6 | 6 |

Chapters 1 through 5 Sections 7 1 through 7 5 Sections | 7 |

Section 15 | 15 |

UNITS | 24 |

UNRENEWABLE EQUIPMENT | 42 |

RENEWABLE SYSTEMS | 54 |

REPAIRABLE DUAL SYSTEMS | 92 |

BAYESIAN RELIABILITY ESTIMATION | 398 |

ACCELERATED TESTS | 429 |

RELIABILITY GROWTH | 438 |

MONTE CARLO SIMULATIONS | 456 |

OPTIMAL REDUNDANCY | 479 |

OPTIMAL SUPPLY OF SPARE PARTS | 524 |

OPTIMAL CONTROL OF INVENTORIES OF SPARE PARTS | 546 |

OPTIMAL MAINTENANCE | 559 |

ASYMPTOTIC METHODS FOR HIGHLY RELIABLE | 112 |

SYSTEMS WITH NETWORK STRUCTURES | 138 |

EVALUATION OF SYSTEM EFFECTIVENESS | 162 |

SYSTEMS WITH TIME REDUNDANCY | 188 |

QUEUING SYSTEMS WITH UNRELIABLE SERVICE | 233 |

MECHANICAL EQUIPMENT | 256 |

ESTIMATION OF EQUIPMENT RELIABILITY FROM TESTS | 287 |

ACCEPTANCEREJECTION TESTS | 308 |

SYSTEM CONFIDENCE LIMITS BASED ON UNIT TESTS | 341 |

ACCEPTANCEREJECTION TEST PLANS | 373 |

OPTIMAL DIAGNOSIS | 575 |

APPENDIX A FUNDAMENTAL PROBABILITY THEORY | 588 |

APPENDIX B HOMOGENEOUS MARKOV MODELS | 595 |

DISTRIBUTIONS WITH MONOTONIC INTENSITY | 607 |

MATHEMATICAL CONSTANTS AND FUNCTIONS | 614 |

Table E l Values of ex I | 620 |

Table E 6 WeibullGnedenko Distribution | 624 |

Table E 12 Values of Kolmogorov Function | 635 |

653 | |

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### Common terms and phrases

active redundant algorithm availability coefficient Bayesian calculated complete conditional probability considered cost denote density determined distribution function duration equation example exponential distribution failed unit failure rate failure-free operation Figure formulas Gaussian process given idle independent interval main unit maintenance mean method minimum cut modules MTTF normal normal distribution number of failures number of objects number of units operational unit optimal parameters performance period point estimate Poisson Poisson distribution Poisson process prior distribution probability of failure-free probability of successful problem procedure quantiles random variable redundant units regional warehouse reliability theory renewal repair sample Section sequence series system simulation solution spare units standby statistical stochastic process structure subset survival probability system consists system failure system reliability index Table task testing extent total number unit failure upper variance vector y-level confidence limit