
Explore the foundations of reliability, maintainability, and availability engineering, analyze failure rates and probabilities, and apply these concepts within the product development life cycle for durable, safe systems.
Integrate reliability, maintainability, and availability into every product development activity through systems engineering, ensuring the product is operationally effective, feasible, valuable, and useful for as long as possible.
Explore reliability as a probabilistic measure of a unit’s ability to operate successfully at a specific time, under defined conditions and environments, using MTBF and MTTF concepts.
Analyze how reliability guides the entire life cycle from concept development through production and field use, defining requirements, predictions, analyses, and trade-offs to inform design and decisions.
Clarifies common reliability myths by emphasizing a system level view that accounts for operating environment and mission, explains that reliability aims to reduce, not eliminate, failures.
Consider reliability within the broader system context—users, maintainers, and operators, and the operational environment—rather than just individual components. Compare mission reliability with component and system reliability across interfaces and availability.
Ram engineering integrates reliability and maintainability across the full system lifecycle to avoid component failures and ensure mission success.
Explore how failure is defined in reliability, distinguishing premature and conditional failures, faults, and hazards, while emphasizing prevention through design, preventive maintenance, and operator awareness.
evaluate how mission reliability depends on identifying mission critical and safety critical components, assessing failure impact, and prioritizing replacement to maintain overall system availability.
Explain infant mortality, growth, and aging in systems, define service life as the mean life between overhauls, and define useful life as from manufacture to unrepairable or wear-out failure.
Analyze life data to collect and analyze lifetime data from field failures, plot the cumulative distribution function, estimate mtbf, and balance reliability investments with lifetime data tools.
Express failure rates as time-based probabilities and use statistically valid lifetime data from identical components in near-identical conditions to model lambda(t) and instantaneous and average rates.
Explore the main reliability data distributions: Gaussian, lognormal, negative exponential, CDF, and Weibull, and how they describe failure behavior, time, and aging across systems.
Explore the probability density function (pdf) as the foundation for lifetime data, using histograms to depict failure probability and guide preventive maintenance with distributions like Gaussian, lognormal, and exponential.
Explore exponential distributions in reliability, distinguishing one- and two-parameter forms, and learn how gamma location offsets shift the curve and relate to failure density and Euler's constant.
Learn mean time between failures, mean time to failure, and mean time to repair for repairable and non-repairable components, and how replacement impacts system reliability in exponential failure models.
Explore the Gaussian distribution and its bell-shaped curve, with mean and standard deviation, symmetry, and how it models failure frequency and reliability over time.
Analyze how failures follow a log normal distribution over time, and see how the standard deviation and scaling factor reshape the mean time to failure under dynamic loads.
Explore the Weibull distribution, its three-parameter form with beta, eta, gamma, and two- and one-parameter variants, and how curve fitting and bayesian methods tailor time-to-failure data.
Explore the cumulative distribution function (CDF) and its area under the curve to estimate the expected failures between two time points, comparing exponential, Gaussian, and log-normal models.
Explore how reliability, maintainability, and availability are quantified using Gaussian, exponential, log-normal distributions and CDFs; learn the reliability function r(t), probability of success, and survivability concepts within real-world navigation systems.
Estimate reliability using observed field data and probability distributions for time to fail, MTBF, and MTTR, guided by five criteria like operating environments and mission duration.
Explore the failure rate function, distinguishing instantaneous and average rates, and learn to estimate failures over time within a defined operational environment.
Explore how the hazard function relates failure rate to reliability over time, using the bathtub curve to describe break-in, stabilized, and wear-out periods and maintenance implications.
Explain the mean life of mission critical components and how MTBF and MTTF guide preventive maintenance and replacement decisions, including calculation methods for repairable and non-repairable items.
Define MTBF as reliability measure for repairable items; it is the average time between failures. Relate MTBF to theta, the inverse of lambda, and note system versus specific part contexts.
Define mean time to failure (MTTF) as the average mission time a non-repairable system operates before failure, reflecting its lifespan. Learn to calculate MTTF and MTBF.
Calculate mtbf and mttf for repairable and non-repairable components, using expected life concepts, exponential failure distribution, and field data to estimate reliability.
Apply MTBF with defined operating conditions. Acknowledge nonconstant failure rates, consider Weibull and exponential distributions, and use SRM diagrams to assess true reliability.
Explore the median life function and its 50% failure point in a component's lifetime. Compare Gaussian distributions, where mean equals median, with negative exponential cases, and calculate the 0.5 integral.
Find the mode of a system's lifetime at the peak failure density by using derivatives on time, noting Gaussian parameters mu, nu, and sigma, and that exponentials have no mode.
Examine the decreasing failures region of the bathtub curve, identify latent defects, and apply design for reliability, accelerated testing, and low-rate production to reduce early failures.
Explore the stabilized failures region of the bathtub curve, where hazard rate H(T) remains relatively stable for exponential-distribution components, and acknowledge random failures while guiding testing and preventive maintenance.
The increasing failures region, or wear-out phase, begins as failure rates rise with age from wear, fatigue, and environmental stresses, with the weakest mission-critical element driving reliability and replacement strategies.
Explore service life extension programs and preventive and proactive maintenance, along with upgrades that extend system life, reduce failure rates, and improve reliability across military fielded systems.
Identify how shelf life and storage conditions cause deterioration of components like seals and lubricants, potentially mislabeling storage-related decay as wear out and skewing reliability analysis.
Examine the bathtub curve's three lifetime regions and how misapplying hazard rate based on exponential data distorts reliability estimates, guiding costly design decisions; validate lifetime data and preview reliability networks.
Learn how to analyze system reliability, using bottom up and top down allocation for existing and notional systems, and improve reliability with serial, parallel, and mixed configurations.
Explore series networks and how to compute overall reliability by multiplying component and interface reliabilities, while grouping components into hierarchies and subsystems, using lambda and Euler's constant.
Explore how parallel and series reliability networks with redundancy affect availability and safety, and learn practical methods to calculate overall subsystem reliability.
Explore series and parallel network combinations to calculate overall reliability through subsystem grouping, then apply standby and operating redundancy concepts.
Allocate top-level reliability requirements down to subsystems using MTBF, MTTR, and mean logistics delay time to estimate operational availability, incorporate COTS data and weighting factors to guide design decisions.
Define and analyze reliability requirements within the system requirements specification, linking availability, mean time between failures, mean time to repair, and mean logistics delay time to verify reliability across environments.
Analyze how stress and strength attributes affect system reliability, perform a five-step stress strength analysis, and apply corrective actions or failure modes analysis and trade studies to ensure margins.
Identify and analyze potential failure modes and their effects using FMEA to prioritize risks, guide mitigation, and improve system reliability, safety, and fault detection throughout the architecture.
Identify potential failure modes and effects through a structured fmea/fmeca process, define system boundaries, assess severity, develop detection and corrective designs, and document a criticality analysis for stakeholder action.
Identify how fault trees map failure modes using boolean gates to reveal dependencies, while noting that testing, operational environment, and expert collaboration uncover latent defects and hidden failure modes.
Describe how fmeca identifies and localizes failure modes, assesses risk using severity, occurrence, and rpm, and reports results in a centralized fmeca database.
discover how maintainability complements reliability to keep systems available and efficient, with design choices, maintenance concepts, and measurable performance metrics guiding rapid repair and operation.
Integrate maintainability across the system life cycle through early requirements, designs, reviews, validation, data collection and corrective actions guided by the systems engineering management plan.
Learn the difference between maintainability and maintenance, and how maintenance concepts, life cycle planning, and reliability-centered methods reduce operating costs and improve system availability.
Explore the levels of maintenance from field to depot, how Frax data informs reliability and maintainability decisions, and how early modeling shapes lifecycle data.
Examine uptime and downtime from a failure viewpoint, defining when a system performs missions, is operational, degraded, or inoperable, and how organizations clarify states for servers, websites, and transportation.
Define uptime as the active time a system remains in condition to perform its functions and distinguish it from downtime, noting that mean downtime is covered in the next lesson.
Defines downtime and mean downtime, and shows how mean downtime equals mean active maintenance time plus mean administrative delay time and mean logistics delay time.
Explore the uptime ratio as a composite metric of operational availability and dependability, linking design, installation, quality, environment, operation, maintenance, repair, and logistics to mean uptime and downtime.
Explore preventive maintenance and PMT, covering periodic, predictive, and planned maintenance, with mean and median PMT calculations under a logarithmic normal distribution, PHM insights, and OEM guidance.
Explore corrective maintenance, including its scheduled and unscheduled actions to restore a system to spec or upgrade it, not necessarily broken, involving localization, isolation, disassembly, interchange, reassembly, alignment, and checkout.
Balance elapsed time, labor hours, and skill levels to minimize maintenance cost, and compute mean corrective, preventive, and total maintenance labor hours from failure rates and maintenance actions.
Examine how reliability and maintainability relate, using mean time between failures and failure rates to guide corrective maintenance, while considering preventive maintenance's cost and potential impact on reliability.
Apply mean time to repair (mttr) as corrective maintenance time per failures, and mean time to restore service (mtrs) as the downtime including hardware replacements, software reloads, and restarts.
Mean time between maintenance (MTBM) blends preventive and corrective maintenance into a single reliability metric, using m_RT for preventive and m_CDT for corrective actions, expressed in operating hours.
Explore maintainability analysis within the systems engineering life cycle, covering trade-offs with reliability, maintenance prediction, RCM, level of repair analysis, MTA, and TPM.
Explore provisioning strategies to sustain missions through LORA analyses, ensuring spare parts availability for preventive and corrective maintenance timelines, considering failure rate, mean time to repair, shelf life, and costs.
Explore reliability centered maintenance (rcm) to avoid or reduce failure consequences and sustain mission capability, using condition based maintenance and analysis of safety and operational consequences.
Explore condition based maintenance by measuring equipment condition to predict failures and schedule just-in-time maintenance, using condition monitoring, prognostics and health management, and p-f curves.
Explain the potential to functional failure interval and the F curve, showing how design, operation, and maintenance influence degradation and failure risk, with maintenance inspections.
Maintenance cost dominates the life cycle for many systems, and early design decisions shape it; include metrics like cost per month, per action, and per hour in requirements.
Predict and allocate maintainability requirements early in the life cycle, using design analysis and prototype testing to estimate mean corrective and preventive maintenance times, needed resources, and costs.
Define and analyze maintainability requirements within the maintenance concept to ensure system availability and performance, linking life cycle concepts to quantitative metrics like mean time between maintenance and downtime.
Allocate maintainability by distributing system-level mean corrective maintenance time to engine and transmission using allocation tables. Assess inherent availability and mean time between failure to meet a five-hour maintenance requirement.
Explore maintainability analysis and the reliability and maintainability tradeoffs using RCM, level of repair analysis, and TPM to compare three engine designs and select the most cost-effective configuration.
Explore the availability concept, its definitions and metrics, and how reliability and maintainability shape operational readiness through inherent, achieved, and operational availability.
Learn inherent availability, defined as mean time between failures divided by mean time between failures plus mean time to repair, excluding maintenance, logistics, and the operational and support environment.
Discover achieved availability, the developer-controlled level of availability defined as the ratio of mean time between maintenance to the sum with mean active maintenance time, excluding administrative and logistics delays.
Operational availability defines the probability a system performs missions in its environment, including maintenance and logistics delays, plus administrative delays, especially when the organization owns and maintains the entire system.
Clarify inherent, achieved, and operational availability, and show how operational availability depends on logistics and administrative delays, prompting a Logistic Support Working Group (LRS WG) to manage responsibilities.
Explore challenges in reliability, maintainability, and availability, including scoping and estimating contract requirements. Examine measuring software reliability, failure definitions, data sources, independent verification and validation testing, and model validation.
Identify realistic starting values for reliability, availability, and maintainability within the system requirements specification, balancing non-recurring engineering and recurring engineering costs to minimize total ownership cost and life cycle cost.
Evaluate reliability, maintainability, and availability during the preliminary design review using a Cemp checklist to verify measurable, compatible, and testable RMA requirements before advancing to critical design.
Learn how reliability testing fits verification and validation, from planning to reporting, to verify mean time between failures and minimum acceptable life using statistical methods and exponential distribution assumptions.
Organizations test maintainability within the system verification and validation process, demonstrating quantitative and qualitative requirements through logistics, equipment, spare parts, data and personnel maintenance considerations, in a validation-driven pre-production environment.
Explore sequential reliability testing to assess MTBF targets and reliability design criteria through predictions, duty-cycle testing, and environmental simulations, guiding acceptance, rejection, or corrective action.
Perform reliability testing within system verification and validation by pulling random production samples to assess mean time between failures against system and segment specifications, using fixed-timeline or fixed-failures life testing.
Explore reliability, maintainability, and availability concepts and calculations to support design decisions, highlight the role of assumptions and validation, and assess mission likelihood and optimal alternatives.
This course focuses on actions project Managers and Systems Engineers can take to initiate or improve the performance of their systems.
This course covers both ‘design for RM&A’ and ‘RM&A validation’ activities to provide the viewpoints of the system developer and the end user.
This course also covers the essential mathematical calculations that are essential to initiating, specifying and testing RM&A requirements, to and includes the application of how you can use RM&A calculations to estimate and improve your overall system's availability.
In the Reliability Module, we will cover many core principles related to identifying, estimating, calculating and verifying reliability related requirements and models. Topics include common definitions, lifecycle analysis, reliability myths, failures, Failure Modes and Effects Analysis (FMEA), failure rates, life data distributions, probability density functions; exponential, logarithmic, gaussian, and Weibull distributions; reliability estimates, the hazard function, MTBF, MTTF, the “bathtub curve” and its 3 regions: DFR, SFR and IFR. You’ll learn about extending a product’s life, reliability calculations using reliability networks, stress and strain analysis, fault trees and FMECA reporting.
In the Maintainability Module, topics include definitions, maintenance levels, FRACAS, Uptime (UT), Downtime (DT), MTTR, preventive and corrective maintenance, maintenance frequency, MTBM, Level Of Repair Analysis (LORA), Reliability Centered Maintenance (RCM) and Condition-Based Maintenance (CBM), Potential to Functional failures (PF); Maintainability cost, prediction, and allocation, and trade-offs between reliability and maintainability.
In the Availability Module, we use what we learned about R&M and apply it to availability. We also cover the three primary types of availability: Achieved Availability (Aa), Inherent Availability (Ai) and Operational Availability (Ao).
The course concludes by consolidating RM&A topics into a holistic picture. Topics include RM&A challenges, RM&A starting values, testing for reliability & maintainability, RM&A sequential testing and qualification and product life testing.