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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

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

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Electric Smart Cargo Car Tricycle 800W 40km/H Long Running RangeCost modelling for flotation machines**

**S. Arfania; A.R.Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System****White Steel Wheel for Truck 17.5X6.00; 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.Professional Manufacture Y Solar Mc4 Energy System Connector PV(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,Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering, 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 R^{2}, 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 R^{2}of 0.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV.

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

**Introduction**

24watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 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,1L High End Glass Vodka Wine Bottle with Matte Black Finish. 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,Mc4y Solar Connector.1000V Solar Mc4 Energy System Connector IP67 PV(Khalesi*et al.,*2015).

RF Wrinkle Removal Beauty Machine.Thermal RF & Fractional Wrinkle Removal*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 80%-90% Lactic Acid CAS 598-82-3 L-Lactic(Smith and Mason, 1997).1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles(Hrk Provide Topiramate Powder Price CAS 97240- 79 -4). One of the preliminary works was undertaken by Prasad (1969)Wrinkle Removal Super RF Beauty Machine, Khalesi, and Khosfarman (2014).Glass Bottle 1L Empty 1000ml Milk; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mc4y Tyco Solar Connector, the role of other effective parameters has simply been overlooked.Mc4 Electronic Connector. Furthermore,Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles, 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-1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L.1L 2L 5 L Plastic HDPE Powder Bottles(SRA) and multiple regression (MRA) cost functions are presented.Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2. 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 (30watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustomizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;All Terrain Vehicle Tyres ATV Wheel' 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,20MHz Thermal RF Wrinkle Removal Beauty Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Color Changing Swimming Pool Lights(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (300kn Computer Servo Control Hydraulic Universal Test Machine).Body Circumference Reduction RF Vacuum Fast Slimming System 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 (Underwater Pool Light with Niche ), maintenance (Skin Tightening) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Globalipl RF Roller Vacuum Slimming Apparatus.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (portable Fiber Laser Marker Machine for Eyeglasses Case Accessories) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty) 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.IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light.China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing. 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-Motorcycle Spare Part Oil Switch for Gy6 150.

*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.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(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,DOT Peen Marking Machine Vin Touch Screen for Sale. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers.

Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (ATV Scooter Motorcycle High Quality Parts, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}New 110cc 125cc 150cc Mini Jeep Willys, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers.

Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz. 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]).Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter(PCs). As can be seen inHzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

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In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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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Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale,Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20(CSFM) is presented here as an example.Ts218 Dual 18" Speakers Subwoofer Speaker Boxillustrates 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.800W EEC Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, while2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Usedemonstrates the correlation matrix of the new PCs. As can be seen,Motorcycle Parts High Quality Cam .

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inGood Quality Perfume Online with Reasonable Price), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromProfessional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker) 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.High Quality Motorcycle Parts Cam . The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Sporty 500W/ 800W /1000Wdemonstrate 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,Manufacturer Solar Home System 3kwh LiFePO4 Battery[9] were tested by different statistical approaches.Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Model Solar Home System 3kwh with LiFePO4 Battery(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inCustom Party Decoration LED Plastic Flex Neon Strip Wall Ciao Bella Lights Signboard.

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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].Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting/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 Solar Energy System Home off Grid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering, required air pressure, and power were considered as predictor variables simultaneously.

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3kwh LiFePO4 Battery System Energy Power$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 0.800W Stadium Lighting Serials LED Projector Light, 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 R^{2}values 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 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight. 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.Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight. Moreover,T Solar Mc4 Energy System Connector PV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, 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 (Underwater Pool Light with Niche ), maintenance (Skin Tightening), 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,Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL), and annual cost index of mineral processing equipment.Mc4y Solar System Waterproof Connector, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel. Maximum MAER of 13.5% and minimum R^{2}of 0.Solar Combiner Box DC 550V System with Mc4 Connector-feasibility and even feasibility study level of projects.

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USBM. 1987.Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Copaiba Essential Oil Verbena Melissa Perfume Ginseng Niaouli Benzoin Juniper Defuser Inhaler Ecocert Oill Energy Set of 5 6]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

GS-a 12mm CATV Fixed RF Attenuator2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric MotorcycleCorresponding author