The paper presents a semi-Markow model of preventive repair system by age, implemented in hydroelectric power plants with Kaplan turbines. In the case analyzed technical objects, profit per time unit is considered as criterion quality functioning. On basis adopted assumptions, for developed mathematical model, formulas describing function were determined and conditions existence extreme (maximu...

For engineering and production systems, due to the structural dependence between components, disassembly operation caused by replacement of components will affect failure degradation processes other in system. In order optimize extended warranty (EW) cost multi‐component system with dependence, this paper described modeled impact, then rate model component considering impact under EW was develo...

In railway systems, switch rails are one of the key components switches & crossings (S&C). They controlled by machines to guide trains from track another. Due discontinuity in geometry, exposed high-impact loads as train wheels pass through. The long-term impact can cause local plastic deformation. These faults, and general alignment changes, lead development a gap between rail stock kn...

‎in this paper‎, ‎we investigate a damped korteweg-de‎ ‎vries equation with forcing on a periodic domain‎ ‎$mathbb{t}=mathbb{r}/(2pimathbb{z})$‎. ‎we can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.