Optimal production and inspection strategy of an integrated economic model for imperfect production system

Abstract

In this research, we derive an integrated model of economic production quantity, inspection and preventive maintenance to incorporate rework, minimal repair and inspection time for an imperfect production system. This imperfect process may shift to the out- of-control state and produces non-conforming items. We assume that some proportions of non-conforming items are scrap before the rework process start and others are reworked. The rework process is imperfect that is a proportion of the reworked items fail the repairing and become scrap items. In a system with process deterioration, we derive the optimal solutions for the inspection interval, inspection frequency and economic production quantity. And numerical analysis is provided to analyze the effect of rework, minimal repair and inspection time on profit.

Keywords:

• imperfect process
• imperfect rework
• preventive maintenance
• minimal repair
• inspection time
• integrated model