Integrated Production, Maintenance and Control Chart of Supply Chain Management Under Quality Constraint

This paper develops a joint control of production, maintenance, and quality for a supply chain management system. The manufacturing system is subjected to a random failure that directly affects the quality of the products. the degradation of the manufacturing system is impacted by the variation of the production and its use. The control of the process and the quality of the products is carried out using statistical process control (SPC) and its tool "control chart of average". The problem consists of several warehouses allow satisfying random demands during a finite horizon, under quality level. The goal of this study is to establish an optimal production planning and maintenance strategy, taking into account the influence of the production rate on the system degradation and according to the average of the measures of the quality indicator x compared to the control limits, which minimize the total cost.