Mathematical Modelling using Gray Markov SCGM(1,1)c of Zambia’s Fatal Mining Accidents Between 2001 and 2015
Most mine accidents are caused by human error. The effects of accidents either fatal or not are adverse and range from economical to social. In this paper, the amended Grey Markov model with double exponential smoothing has been used. Predicting fatal accidents will provide the basis of safety assessment and decision making and also help to plan for possible economic and social impacts generated by fatal accidents. The amended Grey Markov combines the advantages of the grey prediction model and the Markov chains and can, therefore, be used on data that is few, has little and stochastic fluctuations. The gray SCGM(1,1)c model is applied to imitate the development tendency of the mine safety accident, and adopt the amended model to improve prediction accuracy, while Markov prediction is used to predict the fluctuation along with the tendency. Finally, the model is applied to forecast the fatal mine accident deaths from 2001 to 2015 in Zambia, and, 2016 fatal mine accidents were predicted. The model predicted the fatal mine accidents results with a relative error of 0.06 and is classified as excellent in the precision test. The proposed model, therefore, possesses a stronger engineering application.