Optimization of Blasting-Associated Costs in Surface Mines Using Risk-based Probabilistic Integer Programming and Firefly Algorithm

Blasting outcomes have significant impacts on downstream mining operations such as loading, hauling, crushing, milling, and mineral processing. An ideal blasting plan can result in decrease in undesirable blast-induced impacts and in supplementary costs of downstream operations. This study developed a new mathematical model using a risk-based probability distribution and mixed integer programming concept to minimize the total costs associated with blasting operation. Exponential and Poisson functions were used to consider the probability of undesirable blast-induced impacts in the model. Costs for balancing undesirable blast-induced consequences were considered by relative values based on probabilistic conditions of the consequences. The base code of firefly algorithm was developed to solve the mathematical model and find a new blasting plan based on the data of several blasting plans executed in a limestone mine. Comparison between the results of the mathematical modeling and the literature indicates the efficiency of the former by a reduction of 23% in total costs. The mathematical model and the risk-based probabilistic part of the methodology can be updated and applied easily to extract the best possible blasting plan for the same geomechanical conditions.