This article considers an one-unit multi-state system with a general α-series process and an
order-replacement policy. It is supposed that the working times of the system after repair …

Modelling the failure process of a system is one of the most important problems in the
reliability and maintenance research community. The geometric process (GP) is widely used …

The geometric process is sometimes appropriate for reliability and scheduling problems.
Some previous studies suggested a possible alternative process that is alpha-series as to …

In this chapter, the authors consider a repairable system, which upon failure, undergoes a
repair. The repair restores the system to a functioning state, taking into account possible …

The α-series process is an important counting process commonly used to model data sets
having monotonic trend. It is especially utilized in reliability analysis of deteriorating systems …