Approximations of the renewal function and operating costs management strategy

The approximation of the renewal function is considered for recurrent flows. The failure-free operation time is assumed to be described by the two parametrical Weibull–Gnedenko distribution. Analytical and numerical approaches (based on discretization methods) are proposed for the solution of Volterra integral equation. The relationships and algorithms obtained were verified by control cases using the Wolfram Mathematica mathematical software package. The results presented are applied to the “block replacement policy” to provide the reliable and effective functioning of technological objects.