A No-Wait Flow Shop Scheduling Problem with Setup Time in Fuzzy Environment

Abstract

The no-wait scheduling problem is a subclass of the flow shop. In a no-wait flow shop scheduling (NWFSS), jobs are not allowed to wait between consecutive machines. There is a continuous flow in the scheduling environment for jobs. In this research, a no-wait flow shop scheduling problem with setup times is considered in a fuzzy environment. The manufacturer cannot finish all jobs in order time due to the limitation of manufacturing capacity. Thus, the due dates of the jobs are considered as a fuzzy number. An improvement scatter search algorithm is used first to solve the NWFSS problem with a setup time to maximizing the satisfaction index objective. First, the proposed algorithm is tested on the benchmark NWFSS problems in the literature. Then, a benchmark NWFSS with setup times problem is solved by the proposed improvement scatter search algorithm(SSA) for fuzzy due dates. The results show that the proposed improvement scatter search algorithm is an efficient solution method for the NWFSS problem in a fuzzy environment. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.