Steelmaking-and-continuous-casting dispatching method and apparatus based on distributed robust chance-constraint model

A steelmaking-and-continuous-casting dispatching apparatus based on a distributed robust chance-constraint model for implementing a steelmaking-and-continuous-casting dispatching method for minimizing interruptions in casting a set of cast batches from a set of furnace batches in a steelmaking-and-continuous-casting system, wherein the method comprises, in the steelmaking-and-continuous casting system, processing the set of cast batches by casting the set of cast batches into a slab in a continuous casting stage after processing the set of furnace batches comprising a liquid iron to convert the liquid iron into a liquid steel in a steelmaking stage and further processing the furnace batches to remove impurities from the liquid steel to produce the set of cast batches in a refinement stage, wherein the set of furnace batches and the set of cast batches are processed by a set of machines, the set of machines comprises furnaces for processing the set of furnace batches, the set of machines comprises a set of conticasters for processing the set of cast batches, the refinement stage occurs after a waiting duration between the steelmaking stage and the refinement stage, the continuous casting stage occurs after a waiting duration between the refinement stage and the continuous casting stage, and processing of the set of furnace batches in the steelmaking stage and the refinement stage and the set of cast batches in the continuous casting stage is complete after a total flow duration, wherein the apparatus comprises:

• an establishing module configured for constructing the distributed robust chance-constraint model based on parameters, an objective function and constraint conditions in steelmaking-and-continuous-casting dispatching, wherein the parameters and constraint conditions are based on production records of the steelmaking-and-continuous-casting system and the objective function considers a cost of liquid steel cooling based on a cost in the waiting duration between the steelmaking stage and the refinement stage, a cost in the waiting duration between the refinement stage and the continuous casting stage, and the total flow duration from completion of processing of the set of furnace batches in the steelmaking stage and the refinement stage and processing of the set of cast batches in the continuous casting stage;
• a solving module configured for, by using a dual-approximation method or a linear-programming-approximation method, solving the distributed robust chance-constraint model to obtain processing starting durations of cast batches in conticasters and to obtain processing starting durations of furnace batches in the set of machines other than the conticasters;
• and
• a dispatching module configured for, by using a solved result of the distributed robust chance-constraint model as an evaluation criterion, and by using a tabu-search algorithm, determining a furnace-batch sequence and a distribution theme in the steelmaking-and-continuous-casting dispatching,
• wherein, based on the apparatus, a timetable for processing the set of cast batches is determined by controlling when the liquid steel is delivered to the set of conticasters based on the waiting duration between the steelmaking stage and the refinement stage determined under the distributed robust chance-constraint model being varied from the waiting duration between the steelmaking stage and the refinement stage determined under a certainty model and the waiting duration between the refinement stage and the continuous casting stage determined under the distributed robust chance-constraint model being varied from the waiting duration between the refinement stage and the continuous casting stage under the certainty model while the total flow duration under the distributed robust chance-constraint model is substantially equal to the total flow duration under the certainty model, wherein the waiting duration between the refinement stage and the continuous casting stage determined under the distributed robust chance-constraint model is varied from the waiting duration between the steelmaking stage and the refinement stage determined under the distributed robust chance-constraint model to lessen a duration of casting interruptions.