Maximov I.I., Slobodyanyuk R.V. Geometrical features of determination a transfer point rational location in open pit mine

Details

Parent Category: Geo-Technical Mechanics, 2017

Category: Geo-Technical Mechanics, 2017, Issue 132

 

Geoteh. meh. 2017, 132, 96-104

GEOMETRICAL FEATURES OF DETERMINATION A TRANSFERPOINT RATIONAL LOCATION IN OPEN PIT MINE

Maximov I.I., Slobodyanyuk R.V.

SHEI "Kryvyi Rih National University"

UDC 622.271.324: 622.271.012.3

Abstract. Mining technology with the use of transfer points is widespread in deep iron ore open pits. In most cases, decision on the transfer point location is primarily based on its height in the open pit space. However, the transfer point location in the plan also has a significant influence on technological and economical parameters of the mining operations. Traditional approach, which considers center of gravity as an optimal dump point, is not a guarantee of ensuring conducting of minimum volume of transport operations. In mathematics, the Fermat-Torricelli point is known, which provides a minimum distance to the vertices of a triangle. This study was performed with the purpose to develop a methodological framework for determining the Fermat-Torricelli point for more than three excavation faces, as well as taking into account the effect of different rates of the mine productivity on the optimum location of the dump point. The article provides an overview of modern studies, in which algorithms with the Fermat-Torricelli-Steiner point are used for minimizing logistical processes. In view of mining operations, it is of particular practical importance to develop a method that will allow determining an optimal point for the dump location in the working area of the open pit according to the known coordinates of the characteristic points with taking into account the weight coefficients. It is shown that when an area with mining operations cannot be approximated by a correct geometric figure, point of center of gravity cannot provide a minimum volume of transport operations. In this case, minimum volume of transport operations can be ensured when the transfer point coincides with the Fermat-Torricelli point. It is proposed to solve this problem at several stages. At the first stage, the coordinates of this area’s center of gravity are determined. At the second stage, the coordinates of the Fermat-Torricelli point are defined by the grid or gradient method with assuming center of gravity as the origin of the conditional coordinate system. The proposed method allows determining an optimal location for the dump point (minimum volume of transport operations) for an arbitrary number of excavating faces both with the same and with different capacities.

Keywords: transfer point, temporary dump, Fermat-Torricelli point, transport work minimization.

 

REFERENCES

1. Protasov, V. Yu. (2005), Maksimumy i minimumy v geometrii [Maxima and minima in geometry],-MTsNMO, Moscow, Russia.

2. Kazakov, A.L., Lempert, A.A. and Nguyen, G.L. (2014), ―Optimization of the communication system taking into account regional features: mathematical model and numerical method‖, Vestnik IrGGU, - vol. 95, no. 12, pp. 17-22.

3. Lisin, A.V. and Fiyzullin, R.T. (2013), ―Heuristic search algorithm for the approximate solution of the Steiner problem, based on physical analogies‖, Compyuternaya optika, vol. 37, no.4, pp. 503-510.

4. Bern, M.U. and Gram, R.L. (1989), ―Search for the shortest networks‖, V mire nauki, no. 3, pp. 64-70.

5. Chetverik, M.S., Bubnova, E.A. and Babiy E.V. (2016), ―Interrelation of parameters of mining machines, technologies and processes in open-pit mines‖, Geo-Technical Mechanics, no. 126, pp. 19-27.

6. Drezner, Z., Klamroth, K., Schöbel, A. et.al. (2002), ―The Weber problem‖, in Drezner, Z., Hamacher, H.W. (eds.), Springer, Berlin, Facility Location. Applications and Theory, pp. 1–36.

 

About the authors

Maximov Ivan Ivanovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Associate Professor of Mathematics Department, SHEI ―Kryvyi Rih National University‖ (SHEI ―KTU‖), Kryvyi Rih, Urkaine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Slobodyanyuk Roman Valeriyovych, Master of Science, Doctoral Student, SHEI ―Kryvyi Rih National University‖ (SHEI ―KTU‖), Kryvyi Rih, Urkaine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

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