WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Models and Methods of Multiobjective Optimization in Problems of Quarry Design and Planning
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Abstract: In the paper existing approaches are practice of quarry design and long-term planning are analyzed. Mathematical model of a quarry contour represented with a set of curves, namely bench edges (a SC model) is formulated for a quarry on a flat territory and an on-slope quarry; its likelihood to dynamic systems is shown. Most attention is given to optimization problems setup and solution on the basis of continuous-valued models resulting from piecewise-linear approximation of SC models. Sectoral and contour models aimed at solution of problems in question are presented; they are compared from viewpoints of adequacy and accuracy. Characteristic features of optimization problems based on presented models are shown resulting in specific features of direct methods application. Practical significance of multiobjective optimization for problems in question is substantiated. The solution of that type of problems is exemplified by multiobjective optimization of mining works for “Neriungrinskii” coal quarry as well as by a design stage contour optimization for Ekibastuz coal quarry. Main features of intelligent optimization software developed by the author and used in these computations are presented as well.
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Keywords: Multiobjective optimization, mining work development, mathematical modelling, feasible direction method, gradient-restoration method, decomposition, intelligent software
Pages: 557-566
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #54