An optimal production, maintenance and quality problem, with improved statistical process chart of a supply chain under service and quality requirements

The production system is unreliable, therefore, prone to random failures directly affecting the products quality. machine status affected by variation and its use over time. In this work a new maintenance strategy with corrective, imperfect perfect employed when process respectively in control, surveillance, critical stages. We increase reliability of subsequent reduction non-conformal items. Several retail houses are satisfy customer demands during finite horizon service, quality bounds constraints. established collaborative planning inventory management considering production, holding, delivery, delay, costs. Conclusively, total costs (corrective, imperfect, perfect) minimized, according optimal plans control chart parameters as decision variables.