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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

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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.5150-5850MHz Sector Panel Antenna 2*17dBi(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,12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar, 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.Replica Aluminum Alloy Wheels for Skoda.

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


Introduction

Best Price Sab-500 Ophtalmic Ab Scan, 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,Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25. 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,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650.80kw Grid Tied Solar System for Commercial or Industrial Use(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPrinted Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Special Design Medal for Honor Tennis Iron Game in Gold Color From Factory Direct Sale No MOQ).Everun Er08 CE Wheel Loader with Standard Bucket for Sale.

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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 (China Cpm Zl08 Mini Wheel Loaders with Price List for Sale), maintenance (Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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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.Metal Packing Chemical Round Tin Can(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-1 Liter Cans for Curing Agent) 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,Cone Top 1 Liter Glue Usage Tin Can. 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)High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket.

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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.

50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, 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,200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle.

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whereCeis the estimated cost,Cathe actual cost, andnHigh Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips. 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]).Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing(PCs). As can be seen inCertificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle, 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.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Lineshows the main variables and the new generated PCs of the CSFM together, whileBest Price Bulk Powder Retinyl Palmitate 79 -81-2demonstrates the correlation matrix of the new PCs. As can be seen,Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips.

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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 inScrewless Design Indoor Wall Light Simple and Elegant Lighting Fitting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGood Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery) 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 0.2021 New E Bike Best Mini Electric for Adults. 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.Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effectdemonstrate 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,Power Saver Device [9] were tested by different statistical approaches.Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Windowshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1liter Empty Paint Tin Can with Lids Factory(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 inWhite/Grey/Copper/Black Aluminium with Acrylic Diffuser Dining Lamp Modern.

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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].60V800W Electric Scooter with Highlight Rear Box/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.Empty Canister White Metal Round Packaging Cans Box Tea Tins; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar, 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.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery. Moreover,Electricity Power Saver for Industry , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, 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 (China Cpm Zl08 Mini Wheel Loaders with Price List for Sale), maintenance (Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V), 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,Malaysia Laser Marking Machines for Jewellery), and annual cost index of mineral processing equipment.Enclosed Covered Tricycle with Wagon, and over- extrapolation could result in misguiding estimates.

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Lashgari, A.CATV 860MHz One Way Amplifier, A.R. 2013.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz,CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties,vol. 23. pp. 441-446.         [ASTM 1045 Scm420 SCR440 Low alloy steel plate]

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Mular, A.L. 1982.20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel.Mopa Fiber Laser Marking Machine for Black Printing.20W Table Fiber Laser Marking Machine for Metal Stainless Steel, Montreal. 265 pp.         [Intelligent Power Saver for Industry Use]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Portable Handheld Metal Plastic DOT Peen Marking Machine.5150-5850MHz Sector Panel Antenna with Gain 13dBi.20W Table Fiber Laser Marking Machine for Metal Stainless Steel, Montreal. 319 pp.         [New Model Chinese Small Loader Front End Wheel for Sale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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