NSGA-III for solving dynamic flexible job shop scheduling problem considering deterioration effect

The production process of manufacturing systems is usually not static and always interrupted by stochastic events, such as the deterioration effect of cutting tools. This study focuses on the dynamic flexible job shop-scheduling problem considering the deterioration effect (DFJSP-DE). Two types of disturbances are considered, i.e. the implicit disturbance caused by the deterioration effect and the explicit disturbance caused by the reprocessing of unqualified jobs. Firstly, a step-deterioration effect model is proposed, with which the actual processing time of each operation can be predicted more accurately. A multi-objective optimisation model is formulated for the DFJSP-DE. The makespan, energy consumption, and stability of rescheduling solutions are three objectives to be optimised simultaneously. For this non-deterministic polynominal (NP)-hard problem, the non-dominated sorting genetic algorithm III is employed to search the Pareto solutions for the DFJSP-DE. Finally, the results of three numerical experiments show that the proposed approach can solve DFJSP-DE effectively and efficiently.