This paper deals with a batch processor model in which the batch processing speed depends on the jobs assigned to the batch. Each job is completed by accomplishing its required job processing quantity which is calculated as job speed product processing time. Its speed is given as not the exact value but the range. Thus the batch sets are constructed by the jobs which hold the speed in common. And the batch sets are processed as soon as possible. We developed the model to described the problem situation and adopt the total tardiness as the decision criterion.