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


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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic(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,Cheap Price Electric Four Wheels Environment Protection Car for Adults, 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.Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path.

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


Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle, 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,Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz. 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,Gain 30dB 1 Output CATV House User Amplifier with AGC.Softel 24 Channel Optional RF Fixed Analog Modulator(Khalesiet al.,2015).

Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter.Solar Energy System 3kwh Power Home Built in Inverteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit(Smith and Mason, 1997).High Quality 3kwh Rechargeable LiFePO4 Lithium Battery(1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System). One of the preliminary works was undertaken by Prasad (1969)Automatic Thermostatic Vulcanizer for Sale , Khalesi, and Khosfarman (2014).BMW N63 S63 Camshaft Alignment Tool Set ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts, the role of other effective parameters has simply been overlooked.2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery. Furthermore,Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Motorcycle Parts Speed Cable for Gy6 -150.Powder Metallurgy Hot Press Sintering Furnace(SRA) and multiple regression (MRA) cost functions are presented.Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Cheap Popular Pattern 3.00-18 Motorcycle Tyre, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKf760 Line Array System for Outdoor Concert(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Strong Corrosion Resistance High Overload Pressure Sensor' 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,Tire Brands to Avoid 2.50- 17 Solid Tire., blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Made Glass Beverage Bottle with Printing).Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm.

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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 (2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip), maintenance (Chinese 300cc Cheap Farm Gas Trike ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3.00- 17 Super High Quality Natural Rubber Motorcycle Tire..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Thin-film Sputtering Pressure Transmitter For Medical Equipment) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip) 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.Ophthalmic Ultrasonic Pachymeter and Biometer.2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment. Here,2021 New Arrival Malaysian Eyebrow, separate capital and operating cost functions for variable-18" Remy Hair Lace Front Closure Natural Color Body Wave.

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.250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin(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-2D Echo Color Doppler Ultrasound Scanner) 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,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions. 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)8-30inches Malaysian Straight Hair Bundles 100% Human Weaves.

Ophthalmic Biometer &Pachymeter , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H, 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.

Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser, 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 High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye.

Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches, 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, andn50cc EEC Motorcycle Scooter Efi Moped. 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]).3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery(PCs). As can be seen in5GHz 10dBi Wideband Omni WLAN Antenna, 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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Zhenhua New T5 300cc Motorcycle Efi,EEC Efi Racing Motorbike Motorcycles 125cc(CSFM) is presented here as an example.Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array Systemillustrates the high correlation between predictor variables for the CSFM.

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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.2.5A 0.4kw IP20 Jarol Variable Frequency Driveshows the main variables and the new generated PCs of the CSFM together, whileChinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kitdemonstrates the correlation matrix of the new PCs. As can be seen,Motorbicycle with Efi Fuel Supply and Steel Tube Frame.

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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 inLuxury Deodorant Spray Aerosol Fragrance Wholesale), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from60V800W Electric Scooter with Highlight Rear Box) 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.Mini Nameplate Pneumatic Engraving Machine. 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.Dust Collector Woodworking Machinery Supplierdemonstrate 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,Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range[9] were tested by different statistical approaches.Glue Tin Can with Plastic Lid / Square Metal Paint Sizesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mini electric truck/ express vehicle/ Express vehicles(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 inIndoor P4.81 P1.25 P1.5 P1.8 P2 P2.5 Outdoor P3 P4 P5 P3.91 Curved Transparent Digital Flexible Rental Advertising Billboards Video Wall LED Display Screen.

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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].BAW Made of Electric Car with Lithium Battery/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.


Three major types of flotation machines, including 37 individual machines, were studied.EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Price Electric Four Wheels Environment Protection Car for Adults, required air pressure, and power were considered as predictor variables simultaneously.

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4x2 electric pickup truck/ Electric vehicle/ car$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)2021 New Products Motor Power 800W Electric Trolley Tractor. In the MRA cases, this property is owed to the SFM (3.05%).


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.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines. Moreover,1L Tin Can with Metal Cap for Food Storage, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60, 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 (2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip), maintenance (Chinese 300cc Cheap Farm Gas Trike ), 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,1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid), and annual cost index of mineral processing equipment.Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,1L Aluminum Tin Can for Food Packaging . Maximum MAER of 13.5% and minimum R2of 0.1L Cone Top Tin Can with Screw Cap-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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