Mathematical modelling for flows optimization within an industrial symbiosis
Résumé
It is no longer possible to consume and produce without trying to optimize quantities of materials used as inputs and outputs of an industrial system. Among all developed methods, the concept of industrial symbiosis seems very promising and attracting. That is the reason why, in this paper, we propose a mathematical model to optimize the allocation of material flows between firms in an industrial symbiosis. More precisely, our work is at the tactical / operational level once all possible material exchanges including water have been defined. Then, we propose a bi-objective mathematical model to maximize economic profit of firms and to maximize the symbiotic profit resulting from allocation of possible internal links in the industrial symbiosis in order to reduce the negative impact of waste and the overcapacity consumption. Simulation experiments are then conducted to study the behavior of the model based on empirical data collected from real examples. From this numerical study, an algorithm based on the ɛ-constraint method is proposed and the Pareto front of optimal solutions is given.