Flows optimisation of industrial symbiosis based on bi-objective mathematical modelling

Abstract

It seems clear that industrial systems can no longer continue to operate by taking unrestricted amounts of natural resources, especially when these are non-renewable. In order to limit this over-consumption, the industrial symbiosis principle is an interesting solution. The objective here is to determine, using a mathematical bi-objective model, the optimal flow allocations within a symbiosis. Our model applies at the tactical and operational levels, i.e., when the symbiosis is already defined. The aim is to study the best possible flow distribution in order to maximise both the symbiosis overall economic and symbiotic profits (defined as the difference between internal and external flows). With this in mind, we will conduct a numerical application based on a real example with generic values before presenting an optimisation algorithm based on the ε-constraint method. Finally, simulations will be performed to study the evolution of results.