Grey chance constrained programming of production planning under uncertainty

There are many uncertainties in the process industry. It is important that these uncertain parameters of production process must be considered. In this paper, the grey chance constrained programming was proposed. The grey variables were included in the system restrictions and the strategy to be use must be determined before observing its realization. The concept and method of grey simulation was put forward to give a solution method for the grey chance constrained programming. Finally, mathematical model for production planning which includes grey parameters is studied in details. How to use the grey simulation technology to get the best result based on genetic algorithm was also discussed in this paper. The effectiveness of the model and method is verified by simulation results.