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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.24watt New RGB Cool White Warm LED Underwater Swimming Pool Light(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,1L High End Glass Vodka Wine Bottle with Matte Black Finish, 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.Mc4y Solar Connector.

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


Introduction

1000V Solar Mc4 Energy System Connector IP67 PV, 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,RF Wrinkle Removal Beauty Machine. 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,Thermal RF & Fractional Wrinkle Removal.1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles(Khalesiet al.,2015).

Wrinkle Removal Super RF Beauty Machine.Glass Bottle 1L Empty 1000ml Milket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(Smith and Mason, 1997).Mc4y Tyco Solar Connector(2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker). One of the preliminary works was undertaken by Prasad (1969)Mc4 Electronic Connector, Khalesi, and Khosfarman (2014).Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L, the role of other effective parameters has simply been overlooked.1L 2L 5 L Plastic HDPE Powder Bottles. Furthermore,Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2, 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-30watt New RGB Cool White Warm LED Underwater Swimming Pool Light.All Terrain Vehicle Tyres ATV Wheel(SRA) and multiple regression (MRA) cost functions are presented.1L Plastic Trigger Sprayer Bottle with Spray. 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 (Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inShiny Fenacetin Crystal and Non Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20MHz RF Best Technology for Skin Tighten' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Underwater Pool Light with Niche , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Skin Tightening(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eco Friendly Self Sealed Mailer Box).Globalipl RF Roller Vacuum Slimming Apparatus.

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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 (portable Fiber Laser Marker Machine for Eyeglasses Case Accessories), maintenance (New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18) 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.Motorcycle Spare Part Oil Switch for Gy6 150.20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17. Here,20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, separate capital and operating cost functions for variable-DOT Peen Marking Machine Vin Touch Screen for Sale.

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.Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers(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-Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928) 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,ATV Scooter Motorcycle High Quality Parts. 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)New 110cc 125cc 150cc Mini Jeep Willys.

New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, 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.

Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz, 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,Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter.

OEM Wheels for Kymco Gy6 125cc Scooter Body Parts, 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, andnBody Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale. 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]).Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20(PCs). As can be seen inCheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, 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.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometershows the main variables and the new generated PCs of the CSFM together, whileYn725 G CE Approved Hot Sale Mini Wheel Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturer Solar Home System 3kwh LiFePO4 Battery.

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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 inNew Customized DIY Plush Animal Toys), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWhite Truck Wheel 17.5X6.00 Steel Rims) 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.TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System. 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.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Usedemonstrate 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,Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting[9] were tested by different statistical approaches.3kwh Solar Energy System Home off Gridshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3kwh Solar Energy System Home off Grid(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 inClimbing Sports Custom Metal Medallion Coins.

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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].Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W/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.3kwh LiFePO4 Battery System Energy Power; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L High End Glass Vodka Wine Bottle with Matte Black Finish, required air pressure, and power were considered as predictor variables simultaneously.

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Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight$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.T Solar Mc4 Energy System Connector PV, 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%)Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System. In the MRA cases, this property is owed to the SFM (3.05%).

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.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL. Moreover,Mc4y Solar System Waterproof Connector, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel, 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 (portable Fiber Laser Marker Machine for Eyeglasses Case Accessories), maintenance (New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty), 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,Solar Combiner Box DC 550V System with Mc4 Connector), and annual cost index of mineral processing equipment.Wspvcc Solar PV Connector Mc4 High Effiency IP 67, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc. Maximum MAER of 13.5% and minimum R2of 0.Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector-feasibility and even feasibility study level of projects.

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Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Ha Long Bay of Vietnam's Best Souvenir Lapel Pin]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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