Joint optimization of production and maintenance planning with an environmental impact study

In order to reduce the effects of degradation and emission rate for production system, a good management of integrated maintenance and production strategies is necessary. In this context, this paper presented a jointly production, maintenance and emission problem for a manufacturing system subjected to degradation. The manufacturing system composed of one machine subjected to random failure, producing one type of product and causing harmful emissions. The degradation degree of the machine is increased with time and according to production rate and caused the decreasing of availability of the machine and the increasing of the emission rate. This paper proposed an optimal strategy of maintenance and production which integrates the emission control taking into account the impact of the system deterioration. The objective is to determine the economical production rate and the optimal maintenance strategy which minimize the total cost of production, inventory, maintenance and emission, basing a failure rate and emission relationship. A numerical example and a sensitivity analysis are applied to present the result efficiency of the theoretical study and to illustrate the robustness of the proposed strategies.