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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**

**50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance CoverCost modelling for flotation machines**

**S. Arfania; A.R.3kwh 150ah Solar Home System Li-ion Battery Factory****Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System; 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.Excellent Motorcycle Cylinder for Gy6 -100 (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,3kwh Power Supply Solar Energy Battery Pack, 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 0.25kw Electromagnetic Induction Heater for Tools Welding.

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

**Introduction**

Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood 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,Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565. 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,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System.Professional Manufacture Y Solar Mc4 Energy System Connector PV(Khalesi*et al.,*2015).

Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules(Smith and Mason, 1997).24watt New RGB Cool White Warm LED Underwater Swimming Pool Light(Vector Frequency Converter with High Performance for Automatic Production Equipment). One of the preliminary works was undertaken by Prasad (1969)1L High End Glass Vodka Wine Bottle with Matte Black Finish, Khalesi, and Khosfarman (2014).Mc4y Solar Connector; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1000V Solar Mc4 Energy System Connector IP67 PV, the role of other effective parameters has simply been overlooked.RF Wrinkle Removal Beauty Machine. Furthermore,Thermal RF & Fractional Wrinkle Removal, 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-1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles.Wrinkle Removal Super RF Beauty Machine(SRA) and multiple regression (MRA) cost functions are presented.Glass Bottle 1L Empty 1000ml Milk. 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 (Mc4y Tyco Solar Connector, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectric Smart Cargo Car Tricycle 800W 40km/H Long Running Range(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mc4 Electronic Connector' 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,30watt New RGB Cool White Warm LED Underwater Swimming Pool Light

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,All Terrain Vehicle Tyres ATV Wheel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),1L Plastic Trigger Sprayer Bottle with Spray(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (75% Alcohol Hand Sanitizer Wash Free with Certification).Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for.

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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 RF Best Technology for Skin Tighten), maintenance (Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20MHz Thermal RF Wrinkle Removal Beauty Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Color Changing Swimming Pool Lights) 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.Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus.Underwater Pool Light with Niche . Here,Skin Tightening, separate capital and operating cost functions for variable-Globalipl RF Roller Vacuum Slimming Apparatus.

*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.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories(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-New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty) 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,IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light. 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)China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing.

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 (Motorcycle Spare Part Oil Switch for Gy6 150, 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}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, 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,20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18.

DOT Peen Marking Machine Vin Touch Screen for Sale, 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*Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers. 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]).Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928(PCs). As can be seen inHrk Provide Topiramate Powder Price CAS 97240- 79 -4, 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]:

_{i}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.

_{n}*ATV Scooter Motorcycle High Quality Parts*

New 110cc 125cc 150cc Mini Jeep Willys,New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers(CSFM) is presented here as an example.Food Grade 280ml Empty Tin Can for Camellia Oilillustrates 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.Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Qualityshows the main variables and the new generated PCs of the CSFM together, whileEnterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Banddemonstrates the correlation matrix of the new PCs. As can be seen,Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving.

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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 inFeather Brooches), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) 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.Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter. 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.Big 4000W 70V Electric Scooterdemonstrate 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,OEM Wheels for Kymco Gy6 125cc Scooter Body Parts[9] were tested by different statistical approaches.Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale(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 inChina Polyester Thread for Knitting Continuous Filament Sewing Dyed 300d /3 Crochet Bag.

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*Cost model for variable-Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20*

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].Motorcycle Parts High Quality 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.off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3kwh Power Supply Solar Energy Battery Pack, required air pressure, and power were considered as predictor variables simultaneously.

High Quality Motorcycle Parts Cam . Moreover, the operating cost was detailed in different cost items.Manufacturer Solar Home System 3kwh LiFePO4 Battery, indicated inFactory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity, and major extrapolation should be avoided.

New Model Solar Home System 3kwh with LiFePO4 Battery$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.TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System, 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%)Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting. 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 Solar Energy System Home off Grid. Moreover,Suntree Solar Cable Connector Mc4 IP68 Yuv Approved, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W, 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 RF Best Technology for Skin Tighten), maintenance (Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus), 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,3kwh LiFePO4 Battery System Energy Power), and annual cost index of mineral processing equipment.800W Stadium Lighting Serials LED Projector Light, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight. Maximum MAER of 13.5% and minimum R^{2}of 0.Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight-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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