Determination of the optimal production run and the most profitable process mean for a production process

This paper deals with the problem of joint determination of the optimal process mean and the production run for a process. It extends the Quality Selection problem to production systems in which the process mean (target) shifts to an out-of-control state due to an assignable cause. The problem has been validated using various examples. Moreover, results indicate that an inverse relationship exists for the length of production run and the difference expected profit between in-control state and out-of-control state.