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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.Underwater 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,WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater, 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 0.20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals.

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


Introduction

Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic, 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,8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light. 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,IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light.IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light(Khalesiet al.,2015).

150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery.8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Lightet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150(Smith and Mason, 1997).10W Tabletop Series Fiber Laser Marking Machine(Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF). One of the preliminary works was undertaken by Prasad (1969)Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery, Khalesi, and Khosfarman (2014).Shrink Wrapping Machine for Water Packing ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light, the role of other effective parameters has simply been overlooked.3kwh Rechargeable Battery Solar Energy Power System. Furthermore,55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, 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-DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17(SRA) and multiple regression (MRA) cost functions are presented.Professional Factory Motorcycle Tyre and Motorbike . 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 (High Quality Motorcycle Parts Tyre , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz 18dBi Dual Polarization Sector WiFi Antenna(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing' 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,3kwh 150ah Solar Home System Li-ion Battery Factory

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Excellent Motorcycle Cylinder for Gy6 -100 , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3kwh Power Supply Solar Energy Battery Pack(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale Luxury Fashion and Slim Metal Shell 4K Smart LED TV for House Hotel).25kw Electromagnetic Induction Heater for Tools Welding.

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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 (Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light), maintenance (Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Manufacture Y Solar Mc4 Energy System Connector PV) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering) 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.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV.24watt New RGB Cool White Warm LED Underwater Swimming Pool Light. Here,1L High End Glass Vodka Wine Bottle with Matte Black Finish, separate capital and operating cost functions for variable-Mc4y Solar Connector.

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

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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.

Mc4y Tyco Solar Connector, 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,Mc4 Electronic Connector.

Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles, 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, andn1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L. 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]).1L 2L 5 L Plastic HDPE Powder Bottles(PCs). As can be seen in12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio, 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.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cansshows the main variables and the new generated PCs of the CSFM together, whileVFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drivedemonstrates the correlation matrix of the new PCs. As can be seen,1L Plastic Trigger Sprayer Bottle with Spray.

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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 in5W Outdoor Waterproof IP65 Recessed Light Bathroom Spotlights), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSkyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye) 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 0.20MHz RF Best Technology for Skin Tighten. 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.800W -1000W 60V/72V Electric Scooter with Lead-Acid Batterydemonstrate 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,Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus[9] were tested by different statistical approaches.Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20MHz Thermal RF Wrinkle Removal Beauty Machine(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 inJapan Quality Factory Price Soft Sleepy Cotton China Disposable Baby Diapers.

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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].Color Changing Swimming Pool Lights/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.Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater, required air pressure, and power were considered as predictor variables simultaneously.

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Globalipl RF Roller Vacuum Slimming Apparatus$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.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories, 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%)New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty. 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.IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light. Moreover,China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, 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 (Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light), maintenance (Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565), 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,Motorcycle Spare Part Oil Switch for Gy6 150), and annual cost index of mineral processing equipment.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, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18. Maximum MAER of 13.5% and minimum R2of 0.DOT Peen Marking Machine Vin Touch Screen for Sale-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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aHigh Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box