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Reliability Function:
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Reliability (R(t)) represents the probability that a system or component will perform its intended function without failure for a specified period of time under stated conditions. The exponential reliability function is commonly used for systems with constant failure rates.
The calculator uses the exponential reliability function:
Where:
Explanation: This function models the probability of no failure occurring up to time t for systems with constant failure rates, following an exponential distribution.
Details: Reliability calculations are essential for system design, maintenance planning, risk assessment, and quality assurance across various industries including aerospace, automotive, electronics, and manufacturing.
Tips: Enter the failure rate (λ) in failures per unit time and the time period (t) in the same time units. Both values must be positive numbers (λ > 0, t ≥ 0).
Q1: What does reliability of 0.9 mean?
A: A reliability of 0.9 means there is a 90% probability that the system will function without failure for the specified time period.
Q2: When is the exponential model appropriate?
A: The exponential model is appropriate for systems with constant failure rates, typically during the useful life period after initial failures and before wear-out failures.
Q3: How is failure rate determined?
A: Failure rate can be determined from historical failure data, accelerated life testing, or manufacturer specifications for similar components.
Q4: What are typical reliability values?
A: Reliability values range from 0 to 1, with critical systems often requiring reliabilities above 0.99 for mission-critical applications.
Q5: Can this model handle multiple components?
A: For systems with multiple independent components in series, overall reliability is the product of individual component reliabilities.