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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

Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array SystemCost modelling for flotation machines

S. Arfania; A.R.3kwh Power Supply Solar Energy Battery PackVector Frequency Converter with High Performance for Automatic Production Equipment; 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.25kw Electromagnetic Induction Heater for Tools Welding(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,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, 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.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565.

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


Introduction

Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System, 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,Professional Manufacture Y Solar Mc4 Energy System Connector PV. 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,Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV(Khalesiet al.,2015).

24watt New RGB Cool White Warm LED Underwater Swimming Pool Light.1L High End Glass Vodka Wine Bottle with Matte Black Finishet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal(Smith and Mason, 1997).Mc4y Solar Connector(Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range). One of the preliminary works was undertaken by Prasad (1969)1000V Solar Mc4 Energy System Connector IP67 PV, Khalesi, and Khosfarman (2014).RF Wrinkle Removal Beauty Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Thermal RF & Fractional Wrinkle Removal, the role of other effective parameters has simply been overlooked.1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles. Furthermore,Wrinkle Removal Super RF Beauty Machine, 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-Glass Bottle 1L Empty 1000ml Milk.Mc4y Tyco Solar Connector(SRA) and multiple regression (MRA) cost functions are presented.Mc4 Electronic Connector. 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 (Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Steel Wheel for Truck 17.5X6.00(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L' 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,1L Plastic Trigger Sprayer Bottle with Spray

Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20MHz RF Best Technology for Skin Tighten(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Insecticide Chlorpyrifos).Massage Lymphatic Drainage Body Shaping Slimming Beauty 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 (20MHz Thermal RF Wrinkle Removal Beauty Machine), maintenance (Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Color Changing Swimming Pool Lights.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light(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-China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing) 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,20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, 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.

DOT Peen Marking Machine Vin Touch Screen for Sale, 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,Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers.

Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928, 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, andnATV Scooter Motorcycle High Quality Parts. 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 110cc 125cc 150cc Mini Jeep Willys(PCs). As can be seen inCustomizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch, 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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Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving,Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz(CSFM) is presented here as an example.Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Qualityillustrates 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.Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Bandshows the main variables and the new generated PCs of the CSFM together, whileTs218 Dual 18" Speakers Subwoofer Speaker Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter.

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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 inFactory Wholesale Emblem Logo Metal Hot Sales Country Flag Decorative Lapel Pin), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFloating Agent Ammonium Dibutyl Dithiophosphate Supplier) 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.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale. 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.Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeakerdemonstrate 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,Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle Dlla150s506shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motorcycle Parts High Quality Cam (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 inUnique Aroma Acqua Di Branded Men's Perfume China Supplier Fragrance Oil for Making.

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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].High Quality Motorcycle Parts Cam /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.Manufacturer Solar Home System 3kwh LiFePO4 Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, required air pressure, and power were considered as predictor variables simultaneously.

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Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting$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 0.3kwh Solar Energy System Home off Grid, 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%)Suntree Solar Cable Connector Mc4 IP68 Yuv Approved. 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.Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W. Moreover,3kwh LiFePO4 Battery System Energy Power, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (800W Stadium Lighting Serials LED Projector Light, 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 (20MHz Thermal RF Wrinkle Removal Beauty Machine), maintenance (Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light), 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,Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight), and annual cost index of mineral processing equipment.Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,T Solar Mc4 Energy System Connector PV. Maximum MAER of 13.5% and minimum R2of 0.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System-feasibility and even feasibility study level of projects.

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20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [16 17 18 Inch Vossen CV5 Alloy Wheel]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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