CRE study materials
CRE study resources

CRE (ASQ) flashcards

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31 cards. Read the term and the definition here. The deck at the top of this page is optional.

Reliability function R(t)
Probability that an item performs its required function without failure for a stated time under stated conditions; ranges from 0 to 1.
Failure rate lambda
Instantaneous rate of failure at time t given survival to t; equals f(t)/R(t) and has units of failures per unit time.
Exponential reliability model
Model with constant failure rate where R(t) = exp(-lambda*t); MTBF equals 1/lambda and the distribution is memoryless.
Weibull shape parameter beta
Determines failure mode: beta below 1 indicates infant mortality, beta equal to 1 random failures, beta above 1 wear-out.
Bathtub curve
Failure-rate-over-time pattern with three phases: decreasing infant mortality, constant useful life, and increasing wear-out.
Series system reliability
For components in series, system reliability equals the product of component reliabilities; all components must function for success.
Active parallel redundancy
n identical units all operating; system reliability equals 1 minus (1 minus R) raised to the nth power.
FRACAS
Failure Reporting, Analysis, and Corrective Action System; a closed-loop process ensuring each failure is analyzed and corrective action verified.
Duane reliability growth model
Cumulative MTBF equals A times test time raised to slope alpha; plots as a straight line on log-log axes during growth.
Design review gate
Formal milestone where reliability analyses and test evidence are evaluated against requirements before proceeding to the next phase.
Quantitative reliability requirement
A measurable, verifiable statement of required reliability, such as MTBF or probability of success, traceable to mission needs.
Derating
Operating components below rated stress levels (power, voltage, temperature) to lower failure rate and extend useful life.
Standby redundancy
Backup units that are unpowered until switched on; reliability depends on the switch and failure-detection monitor.
Risk Priority Number
RPN equals severity times occurrence times detection, each scored 1 to 10 in FMEA; ranges from 1 to 1000.
Fault tree analysis
Top-down deductive method using AND/OR logic gates to model combinations of causes leading to an undesired top event.
Stress-strength interference
Failure occurs when applied stress exceeds component strength; probability of failure is the overlap of both distributions.
Reliability allocation
Distributing a system-level reliability target among subsystems using factors such as complexity, criticality, or prior data.
Parts count prediction
Early design method summing generic part failure rates multiplied by quality and environment factors to estimate system failure rate.
k-out-of-n system
System succeeds if at least k of n units function; reliability is the binomial sum from i equals k to n.
Reliability block diagram
Success-oriented model of series and parallel paths showing which component combinations permit the system to function.
Markov reliability model
State-transition model using failure and repair rates to compute state probabilities, availability, and system reliability.
Producer's risk alpha
Type I error in acceptance sampling; probability a good lot is rejected by the test, typically set at 0.05.
Consumer's risk beta
Type II error in acceptance sampling; probability a bad lot is accepted by the test, typically set at 0.10.
Weibull probability plot
Plot of ln(-ln R) versus ln t; a straight line indicates a Weibull fit, with slope estimating beta and intercept estimating eta.
Arrhenius acceleration model
Life-stress model where reaction rate depends exponentially on inverse absolute temperature; used to extrapolate accelerated test life.
Censored life data
Observations where the exact failure time is unknown, such as suspended or removed units; must be included to avoid biased estimates.
Inherent availability
A_i equals MTBF divided by the sum of MTBF and MTTR; excludes logistics and administrative downtime.
Maintainability M(t)
Probability a failed item is restored to operating condition within a stated time t, given maintenance resources and procedures.
Reliability-centered maintenance
Process selecting maintenance tasks based on failure modes and consequences: condition-based, scheduled, redesign, or run-to-failure.
Operational availability
Availability including logistics delay and administrative downtime in addition to repair time; reflects real field performance.
Minimal cut set
Smallest combination of fault tree basic events that causes the top event; a single-element cut set is a single point of failure.