In order to solve the multi-objective coordination optimization model of iron precipitation by the goethite
process, and improve the ability of global optimization and the accuracy of the reconciliation, a double population coevolution
algorithm is proposed, which is composed of improved global searching quantum evolution algorithm based on the
sharing function and partial searching difference evolution algorithm based on the individual similarity. Through numerical
simulations, it is proved that the evolutionary algorithm has better convergence and solution accuracy. The simulation results
of typical operating condition show that the multi-objective coordinated optimization model can guide the actual production
feasibly, and the proposed algorithm can solve the model effectively.