Impact of delivery time on optimal production/delivery/maintenance planning

This paper deals the combination between production, delivery and maintenance plan for a manufacturing system satisfying a random demand under service level. A jointly optimization is made in order to establish an optimal production, delivery planning and scheduling maintenance strategy showing the machine degradation. The key of this study is to consider the influence of the delivery time on the production/delivery/maintenance context. We prove simultaneously, with a constrained stochastic production-delivery-maintenance planning problem under hypotheses of service level, delivery time and failure rate, an optimal production, delivery plan and maintenance scheduling which minimizes the total production, inventory, delivery and maintenance costs. Numerical results are presented to highlight the application of the developed approach.