A method has been developed for the prediction of the performance of multi-stage grinding-cyclone classification circuits of any degree of complexity on any ore for a wide range of operating conditions. The method involves the simulation of the circuit on a digital computer by means of. mathematical models of the individual units. At present, to establish the characteristics of the ore and the machines in mathematical terms, it is necessary to know the performance of a simple system on the ore for one known feed rate and feed sizing analysis.Further work on the separate identification of the terms defining the characteristics of the ore and the machines may permit the method to be applied directly to the data derived from small scale tests on ores.INTRODUCTIONThe cost of preparing metalliferous ores for concentration processes by, grinding and classification frequently represents a major portion of the cost of treating such ores, and it is necessary both from an economic and a metallurgical point of view that grinding and classification circuits should be operated at their optimum efficiency. It will be realized that the processes carried out in all units in such circuits behave according to physical laws and, if a mathematical representation of the laws applying to each unit could be derived, optimization of the overall process for any given conditions of feed or product may not be difficult.The physical processes in both tumbling mills and hydraulic classifiers are extremely complex and do not appear at present to be amenable to a rigorous mathematical analysis. However, empirical mathematical models of grinding units which have been presented previously (Callcottand Lynch, 1963; Lynch and Moore, 1963) may be used to discuss the operation of the grinding units in multi-stage circuits. Another type of model, which leads to a reasonable...