This paper proposes to analyze two flow line systems in which we include possibilistic data -the priority-discipline is possibilistic instead of probabilistic- and measure the performances of the systems with the effectiveness measure "waiting time in queue". In a previous work we have analyzed and developed a queuing model with uncertain priority-discipline, using Zadeh's extension principle. Because of it in this paper the analysis of the model takes the work realized by Prade as a starting point to incorporate an uncertain priority-discipline in a flow line system by means of a possibilistic distribution. To verify the validity of the proposed method, we calculate the possibility distribution of the priority-discipline and the possibility distribution of the performance measure "waiting time in queue", in two flow line systems with different waiting lines: the determinist flow line system and the classic flow line system / /1D D / /1/M M N with finite capaci...