Some properties and computational results for a general repair process

We consider a general repair process where the virtual age Vi after the ith repair is given by Vi = φ(Vi–1 + Xi), φ(·) is a specified repair functional, and Xi is the time between the (i – 1)th and ith repair. Some monotonicity and dominance properties are derived, and an equilibrium process is considered. A computational method for evaluating the expected number/density of repairs is described together with an approximation method for obtaining some parameters of the equilibrium process.