An imperfect process strategy for a repairable product with production correction and maintenance

In imperfect production processes, this paper considers production correction and maintenance to break away out of control state. Production processes are classified into two types of state: one is the type I state (out-of-control state) and the other is the type II state (in-control state). The type I state involves adjustment of the production mechanism. Production correction is either imperfect; worsening a production system, or perfect, returning it to “in-control” conditions. After N type I states, the operating system must be maintained and returned to the beginning condition. At the beginning of the production of the each renewal cycle, the state of the process is not always to be restored to “in-control”. The total cost until “in-control” state, is determined. The existence of a unique and finite optimal N for an imperfect process under certain reasonable conditions is shown. A numerical example is presented.