👉 Discharge math, also known as discounted cumulative distribution function (DCDF), is a mathematical technique used to model the probability of a system reaching or exceeding a certain threshold by a specific time, accounting for the time-dependent nature of the system's state transitions. It essentially calculates the probability that a stochastic process, which can include random events or state changes over time, will surpass a given level at any point before the end of the observation period. This is achieved by discounting the cumulative probabilities of reaching or exceeding the threshold, weighted by their respective transition probabilities and the elapsed time. Discharge math is particularly useful in reliability engineering, queueing theory, and survival analysis, where understanding the likelihood of a system state exceeding a critical value is crucial.
