Abstract: Aimed at the problem of matching open-order slabs and coils with hot rolling production orders in the steel industry,a multi-objective 0-1 nonlinear integer programming model for integrative matching of inventory in continuous casting and hot rolling processes was established on the basis of the integrative management idea.Two matrices were introduced in the model:one indicated the difference between slab material and steel grade required in orders,and the other reflected the difference between coil grade and steel grade required in orders.An improved genetic algorithm with the sub-integer encoding method and the heuristic repair strategy was proposed.Finally,the effectiveness of the proposed model and algorithm was verified by simulation based on actual production data.The results show that the integrative matching method can produce a significantly better and more scientific way for matching slabs and coils with hot rolling production orders.