Generally speaking, multi-objective optimization often deals with objectives with contradictory interests, where you may want to minimize the trade-off among the objectives. As far as energy hub system is concerned, you need to specify the goals of the optimization; in one case, economic optimization is what may arouse interests, where there are many high-quality contributions on Unit Commitment and Economic Load Dispatch; another scenario could be power-flow optimization within the network. In some cases, these two aforementioned objectives coincide.
thank you for your responses, I'm looking for a case study with all the data needed in order to optimize the a problem with multi-objective function using energy hub approach
Article Integration of decentralized energy systems in neighbourhood...
The aforementioned paper proposes a method of integrating decentralized energy systems at neighborhood scale based on the energy hub concept, which describes and manages the relation between input and output energy flows and thus can be used to optimize energy consumption.