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  2. Mean time between failures - Wikipedia

    en.wikipedia.org/wiki/Mean_time_between_failures

    Mean time between failures (MTBF) is the predicted elapsed time between inherent failures of a mechanical or electronic system during normal system operation. MTBF can be calculated as the arithmetic mean (average) time between failures of a system. The term is used for repairable systems while mean time to failure (MTTF) denotes the expected ...

  3. Weibull distribution - Wikipedia

    en.wikipedia.org/wiki/Weibull_distribution

    A value of = indicates that the failure rate is constant over time. This might suggest random external events are causing mortality, or failure. The Weibull distribution reduces to an exponential distribution; A value of > indicates that the failure rate increases with time. This happens if there is an "aging" process, or parts that are more ...

  4. Survival analysis - Wikipedia

    en.wikipedia.org/wiki/Survival_analysis

    Survival analysis is a branch of statistics for analyzing the expected duration of time until one event occurs, such as death in biological organisms and failure in mechanical systems. This topic is called reliability theory, reliability analysis or reliability engineering in engineering, duration analysis or duration modelling in economics ...

  5. Mean time to first failure - Wikipedia

    en.wikipedia.org/wiki/Mean_time_to_first_failure

    Mean time to first failure. Mean time (to) first failure (MTFF, sometimes MTTFF) is a concept in reliability engineering, which describes time to failure for non-repairable components like an integrated circuit soldered on a circuit board. [1] For repairable components like a replaceable light bulb the concept of mean time between failures is ...

  6. Failure rate - Wikipedia

    en.wikipedia.org/wiki/Failure_rate

    Failure rate. Failure rate is the frequency with which an engineered system or component fails, expressed in failures per unit of time. It is usually denoted by the Greek letter λ (lambda) and is often used in reliability engineering. The failure rate of a system usually depends on time, with the rate varying over the life cycle of the system.

  7. Black's equation - Wikipedia

    en.wikipedia.org/wiki/Black's_equation

    Black's Equation is a mathematical model for the mean time to failure (MTTF) of a semiconductor circuit due to electromigration: a phenomenon of molecular rearrangement (movement) in the solid phase caused by an electromagnetic field. The equation is: [ 1 ] where. A {\displaystyle A} is a constant. j {\displaystyle j} is the current density.

  8. Software reliability testing - Wikipedia

    en.wikipedia.org/wiki/Software_reliability_testing

    Software reliability is the probability that software will work properly in a specified environment and for a given amount of time. Using the following formula, the probability of failure is calculated by testing a sample of all available input states. Mean Time Between Failure (MTBF)=Mean Time To Failure (MTTF)+ Mean Time To Repair (MTTR ...

  9. Survival function - Wikipedia

    en.wikipedia.org/wiki/Survival_function

    The mean time between failures is 59.6. This mean value will be used shortly to fit a theoretical curve to the data. The figure below shows the distribution of the time between failures. The blue tick marks beneath the graph are the actual hours between successive failures. Distribution of AC failure times