ABSTRACT

As already introduced in the previous chapter, after a renewal a system is "as good as new"; i.e. after its renewal a system has the same lifetime distribution as at the moment of its installation. The formal subject of renewal theory is a simple main­ tenance policy: A system is renewed on every failure in negligible time and after that it immediately starts continuing its work. In what follows, this policy is refer­ red to as policy 0. It reflects practical situations when failed (sub-) systems are completely replaced by equivalent (sub-) systems. In such cases renewal theory provides the mathematical tools for organising a stable production process. At the same time it yields the mathematical foundations for analyzing the behaviour of complicated systems in the running time of which renewal points are "imbedded" in a sense that will be defined more precisely later.