Cooperative optimization of cutting parameters, process routes, and scheduling considering carbon emissions with analytic target cascading

Cutting parameters, process routes, and scheduling significantly affect carbon emissions and makespan of workshops. However, most current researches carried out cutting parameters, process routes, and scheduling decision independently and ignored their comprehensive effects on carbon emissions. To bridge the gap, this paper is aimed at solving cooperative optimization problem of cutting parameters, process routes, and scheduling (CCPJS) employing analytical target cascading (ATC). Firstly, a CCPJS-ATC model is presented and elements of the model are formulated, where carbon emissions and makespan are as optimization objectives. Secondly, a novel-augmented Lagrangian relaxation method is designed to solve the CCPJS-ATC model in a distributed manner. Finally, a case study is employed to verify the feasibility and effectiveness of the proposed method. It shows that the proposed method could achieve more carbon emissions and solving time savings compared with the traditional all-in-one approaches.