In this paper, we proposed an hybrid algorithm combining particle swarm optimisation with the simulated annealing (PSO-SA) to solve the flowshop problem with coupled-operations in the presence of the time lags. The criterion to minimise is the makespan. To verify the performance of the hybridised algorithm, computational experiments are performed and the obtained results are compared with the simulated annealing and PSO algorithms. However, the experimental results show that the PSO-SA performs better than the others approaches. [
In this paper, we present two scheduling hybrid flow shop problems to minimize the makespan. In each problem, we have two stages. In the first problem, one machine at each stage is considered with recirculation of jobs in the second stage (machine). We prove that this first problem is polynomial and we present an algorithm for its resolution. The second problem consists of one machine in the first stage and two identical parallel machines in the second. Jobs can be recirculated a fixed number of times in the second stage. We show that the problem is NP-hard and a polynomial subproblem is proposed. Linear program and heuristics are also presented with numerical experimentations.
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