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Robust possibilistic production planning under temporal demand uncertainty with knowledge on dependencies

In this paper, we deal with production planning problem under temporal demand uncertainty. More precisely, a demand forecasting for a given period could move backward in time or forward in time. We investigate the case where knowledge on dependencies on demand is available. This knowledge is taken into account through a family of copula function. The aim results of the paper are: (a) this approach do not increase the complexity of production planning problem, (b) limit the conservatism of fuzzy robust approach for production planning problem and evaluates more precisely the necessity that the cost of a production plan does not exceed a certain threshold.