An optimal Mathematical Modeling for Manufacturing/Remanufacturing Problem under Carbon Emission Constraint

This paper proposes a mathematical model for a manufacturing and remanufacturing production problem which integrates environmental constraint. This study deals a closed-loop system composed by a manufacturing and remanufacturing machines subject to random failures, in order to satisfy the random demand. This paper proposed two mathematical model minimizing the total cost of production, inventory and maintenance taking into account the given maintenance plan for the remanufacturing machine and respecting the emission tax constraint. The principle objective is to determine the economical production plans of manufacturing and remanufacturing machines and the quantity of emission carbon for each production period. The key of this study is to take into account the influence of the variation of production rates on the failure rate of manufacturing system.