Flow Line Systems with Possibilistic Data: a System with Waiting Time in Line Uncertain

This paper proposes to analyze two flow line systems in which we include possibilistic data -the priority-discipline is possibilistic instead of probabilisticand 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 / /1 D D / /1/ M M N with finite capacity. Since the performance measure is expressed by membership function rather than by crisp value, the fuzziness of input information is conserved completely, and more information is provided for capacity planning in flow line systems. Keywords— Flow Line Systems, Fuzzy Numbers, Possibility Theory, Priority-Discipline