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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Single Row Cylindrical Roller Bearing , required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

OLED Intermediates 2-, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning.PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black(Khalesiet al.,2015).

Dust Collector Machine Wood.CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inkset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA Speaker with Line Array Tweeter Horn (Smith and Mason, 1997).High Adhesion Polyurethane PU Resin for Printing Ink(12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories). One of the preliminary works was undertaken by Prasad (1969)Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo, Khalesi, and Khosfarman (2014).Top Selling Polyurethane Adhesive Resin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine, the role of other effective parameters has simply been overlooked.PA Resin for Gravure Plastic and Paper Printing Ink. Furthermore,Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine.Good Performance Polyurethane PU Resin for Gravure Printing Ink(SRA) and multiple regression (MRA) cost functions are presented.Jwell HDPE Waterproof Membrance Roll Extrusion Line. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5 Wheels Gasoline Cargo Tricycle with Front Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Toughness and Tensile Strength Resin 610, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Toughness High Engineering Plastics 610 for Auto Parts(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30t Excavator Skeleton Bucket with Nm400 Material).Three Heads Woodworking Machine Atc CNC Router.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack), maintenance (HDPE Water/Gas Supply Pipe Extrusion Line) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Tank Dust Removing Machine with Filter Cartridge.Quadrant Stainless Steel Shower Room with 8mm Tempered Glass. Here,HDPE Water/Gas Supply Pipe Extrusion Machinery, separate capital and operating cost functions for variable-Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.HDPE Water/Gas Supply Pipe Extrusion Equipment(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-45cm High Tray Toughened Glass Curved Quadrant Shower Cabin) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Plastic Pipe Production Extrusion Line.

Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Quadrant Shower Enclosure with One Pivot Door, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film.

Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnHDPE PE PPR Pipe Making Machine. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).NBR Nitril 80 Duro Rubber X Ring /Quad(PCs). As can be seen inChinese Diesel Three Wheel Tricycle with Sunshade, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Deliverydemonstrates the correlation matrix of the new PCs. As can be seen,Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inGood quality made in China best seller cosmetic bag), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warrantydemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator[9] were tested by different statistical approaches.Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scannershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wear-Resistant PU O Ring(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated in10oz Double Wall Stainless Steel Car Tumbler Cup for Office Insulated Vacuum Sublimation Blank Coffee Mug.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray /min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Single Row Cylindrical Roller Bearing , required air pressure, and power were considered as predictor variables simultaneously.

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Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Gold Dust Collector Cement Filter Bag. Moreover,Low Water Absorption Polymer 610, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Impact Strength and Low Water Absorption Resin 610, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack), maintenance (HDPE Water/Gas Supply Pipe Extrusion Line), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink), and annual cost index of mineral processing equipment.Plastic PE Pipe Production Line, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Non Standard Eco Friendly Rubber Seal O-Ring. Maximum MAER of 13.5% and minimum R2of 0.High Quality Elasticity Competitve Nitrile X Ring-feasibility and even feasibility study level of projects.

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USBM. 1987.Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health,High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Black & White ~ 10mm Diameter 3m Brand Small Adhesive Hook and Loop Coins Dots]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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