Optimal production correction and maintenance policy for imperfect process

摘要

This study considers imperfect production processes that require production correction and maintenance. Two states of the production process are performed, namely: the type I state (out-of-control state) and the type 11 state (in-control state). At the beginning of the production of the each renewal cycle, the state of the process is assumed not always to be restored to "in-control". The type I state involves the adjustment of the production mechanism, whereas the type II state does not. Production correction is either imperfect; worsening a production system, or perfect, returning it to "in-control". After N + 1 type I states, the operating system must be maintained and returned to the beginning condition. The mean loss cost due to reproduction through production correction per the total expected cost until the N + I type I states are entered successively 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. (c) 2006 Elsevier B.V. All rights reserved.