👉 Capability math, also known as capability theory or reliability analysis, is a mathematical framework used to quantify and assess the reliability, performance, and robustness of systems, processes, or components. It involves defining a set of parameters that describe the behavior of these entities under various conditions, such as time or stress. Key concepts include reliability functions (which measure the probability of a system functioning correctly over time), failure rate functions, and performance metrics like mean time between failures (MTBF). By applying statistical models and probabilistic methods, capability math helps in predicting system behavior, identifying potential failure points, optimizing designs, and making informed decisions to enhance overall system performance and longevity. This approach is widely used in engineering, manufacturing, and quality control to ensure that systems meet specified reliability standards and operate efficiently under diverse conditions.
