This article investigates integrated maintenance, production, and product quality control policy for a supply chain consisting of a single machine producing only one type of product, a main storage warehouse, and multi-purchases warehouses. The variation of the production rate and its use over time impact the manufacturing system’s degradation degree. Hence, the machine is subject to a random failure that directly affects the quality of the products. The goal of this study is to establish an optimal production and delivery planning with inventory management considering the production, holding, and delivery costs, and then an appropriate maintenance strategy, considering the influence of the production rate on the system degradation. Also, we provide a quality control policy to reduce the proportion of non-compliant products by using the statistical process control chart to forecast production. Forecasting the production aims to satisfy the varying demands during a finite horizon under service and quality levels. Numerical examples are presented to justify the effectiveness of the suggested strategy.

In this work, we consider a joint model production system consisting of a single machine producing a multi-product connected to a multi-warehouse to satisfy changing and characterized customer demand of all the products and throughout the production horizon. The addition of quality control and maintenance to classical production would increase the reliability of the process, quality of the products and reduce the total cost of production due to the reduction in the non-conformal losses. The work will answer some managerial questions about which product to produce and how much each makes. Then the need for a maintenance strategy corresponding to the optimal production plan. Therefore, the production system is imperfect and subject to random failures, which directly affect quality. The system degradation is a function of use (duration) and production rate variation. The process control and product quality is with the aid of a multi-level statistical process control chart tool to simultaneously forecast the production planning with delivery quantities and the maintenance strategy involving corrective and perfect maintenance. The objective is to improve the reliability of the process, reduce the non-conformal products, thereby minimizing the total cost of production and satisfy different customers with varied random demand/Quality throughout the periods.