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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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S. Arfania; A.R.25kw Electromagnetic Induction Heater for Tools WeldingIndissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9; M.R. Khalesi

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.Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood 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,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565, 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.Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System.

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


Introduction

Professional Manufacture Y Solar Mc4 Energy System Connector 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,Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering. 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,Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV.24watt New RGB Cool White Warm LED Underwater Swimming Pool Light(Khalesiet al.,2015).

1L High End Glass Vodka Wine Bottle with Matte Black Finish.Mc4y Solar Connectoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310(Smith and Mason, 1997).1000V Solar Mc4 Energy System Connector IP67 PV(Best Selling Electric Scooter Mini 800W ). One of the preliminary works was undertaken by Prasad (1969)RF Wrinkle Removal Beauty Machine, Khalesi, and Khosfarman (2014).Thermal RF & Fractional Wrinkle Removal; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles, the role of other effective parameters has simply been overlooked.Wrinkle Removal Super RF Beauty Machine. Furthermore,Glass Bottle 1L Empty 1000ml Milk, 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-Mc4y Tyco Solar Connector.Mc4 Electronic Connector(SRA) and multiple regression (MRA) cost functions are presented.Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles. 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 (1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L 2L 5 L Plastic HDPE Powder Bottles' 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,Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,20MHz RF Best Technology for Skin Tighten, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Camera Wind and Solar Power System with Fuse DC Box Protection).20MHz Thermal RF Wrinkle Removal Beauty Machine.

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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 (Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light), maintenance (Color Changing Swimming Pool Lights) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Underwater Pool Light with Niche ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Skin Tightening) 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.Globalipl RF Roller Vacuum Slimming Apparatus.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories. Here,New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty, separate capital and operating cost functions for variable-IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light.

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.China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing(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-20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18) 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,Motorcycle Spare Part Oil Switch for Gy6 150. 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)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.

20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (DOT Peen Marking Machine Vin Touch Screen for Sale, 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.

Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, 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,Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928.

ATV Scooter Motorcycle High Quality 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, andnNew 110cc 125cc 150cc Mini Jeep Willys. 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]).New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers(PCs). As can be seen in2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker, 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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Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz,Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter(CSFM) is presented here as an example.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%illustrates 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.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Saleshows the main variables and the new generated PCs of the CSFM together, while20mm Plywood or Timberdemonstrates the correlation matrix of the new PCs. As can be seen,OEM Wheels for Kymco Gy6 125cc Scooter Body Parts.

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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 in5050 WiFi LED Strip Light APP 24 Key RGB Remote Control Work with Alexa Google Voice), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 G CE Approved Hot Sale Mini Wheel Loader) 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.Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20. 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.Thiosemicarbazide CAS 79 -19-6demonstrate 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,Motorcycle Parts High Quality Cam [9] were tested by different statistical approaches.White Truck Wheel 17.5X6.00 Steel Rimsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting(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 inMedical Level Stabilization Oxygen Supply 3L Concentrator.

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Cost model for variable-High Quality Motorcycle Parts Cam

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].Manufacturer Solar Home System 3kwh LiFePO4 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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.New Model Solar Home System 3kwh with LiFePO4 Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565, required air pressure, and power were considered as predictor variables simultaneously.

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3kwh Solar Energy System Home off Grid$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.Suntree Solar Cable Connector Mc4 IP68 Yuv Approved, 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%)Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W. 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.3kwh LiFePO4 Battery System Energy Power. Moreover,800W Stadium Lighting Serials LED Projector Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight, 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 (Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light), maintenance (Color Changing Swimming Pool Lights), 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,Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight), and annual cost index of mineral processing equipment.T Solar Mc4 Energy System Connector PV, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System. Maximum MAER of 13.5% and minimum R2of 0.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO CretificateCorresponding author

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