Guaranteed Estimates of the Distribution Function of the Residual Life of Process Equipment at Industrial Enterprises

The article discusses the functioning processes of the process equipment at industrial enterprises, including numerical control machines (CNC), metal cutting machines, press-forging and bending equipment, welding and laser equipment, molding and casting equipment, etc. The problem of determining guaranteed estimates of the distribution function of process equipment’s residual life is formulated as a problem of finding guaranteed (lower and upper) estimates of the probabilistic functionality on the multitude of distribution functions with preset timings equal to the distribution timings determined based on the initial small sample size of trouble-free operation timings of process equipment. An approach to finding guaranteed estimates of the residual life distribution function in conditions of incomplete data on the process equipment operation time before a failure based on the results of the solution for Markov’s timing problem has been proposed. Guaranteed estimates of residual life distribution functions are based on a multitude of discrete distribution functions that meet the timing limitations. Examples of finding guaranteed estimates of process equipment residual life distribution function are provided.