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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

GENERAL PAPERS

Vector Frequency Converter with High Performance for Automatic Production EquipmentCost modelling for flotation machines

S. Arfania; A.R.Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood LightElectric Smart Cargo Car Tricycle 800W 40km/H Long Running Range; 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.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565(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,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System, 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.Professional Manufacture Y Solar Mc4 Energy System Connector PV.

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


Introduction

Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering, 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,Highly Quality 1500V Solar Mc4 Energy System Connector IP67 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,24watt New RGB Cool White Warm LED Underwater Swimming Pool Light.1L High End Glass Vodka Wine Bottle with Matte Black Finish(Khalesiet al.,2015).

Mc4y Solar Connector.1000V Solar Mc4 Energy System Connector IP67 PVet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control(Smith and Mason, 1997).RF Wrinkle Removal Beauty Machine(White Steel Wheel for Truck 17.5X6.00). One of the preliminary works was undertaken by Prasad (1969)Thermal RF & Fractional Wrinkle Removal, Khalesi, and Khosfarman (2014).1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wrinkle Removal Super RF Beauty Machine, the role of other effective parameters has simply been overlooked.Glass Bottle 1L Empty 1000ml Milk. Furthermore,Mc4y Tyco Solar Connector, 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-Mc4 Electronic Connector.Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles(SRA) and multiple regression (MRA) cost functions are presented.1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L. 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 (1L 2L 5 L Plastic HDPE Powder Bottles, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHrk Provide Topiramate Powder Price CAS 97240- 79 -4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2' 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 RF Best Technology for Skin Tighten

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20MHz Thermal RF Wrinkle Removal Beauty Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customize Stripe Short Sleeve Dress Shirt for Men).Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light.

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

The overhaul costs (Skin Tightening) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Globalipl RF Roller Vacuum Slimming Apparatus) 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.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories.New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty. Here,IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, separate capital and operating cost functions for variable-China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing.

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 Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18(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-Motorcycle Spare Part Oil Switch for Gy6 150) 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 Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17. 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 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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, 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.

Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928, 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,ATV Scooter Motorcycle High Quality Parts.

New 110cc 125cc 150cc Mini Jeep Willys, 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 Design 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]).Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving(PCs). As can be seen inFood Grade 280ml Empty Tin Can for Camellia Oil, 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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Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter,OEM Wheels for Kymco Gy6 125cc Scooter Body Parts(CSFM) is presented here as an example.Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Bandillustrates 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.Ts218 Dual 18" Speakers Subwoofer Speaker Boxshows the main variables and the new generated PCs of the CSFM together, while800W EEC Electric Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale.

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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 in12 Inflatable Dinosaur Costume), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBig 4000W 70V Electric Scooter) 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 High Quality Cam . 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.Diesel Engine Parts Fuel Injection Nozzle Dlla150s506demonstrate 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,off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting[9] were tested by different statistical approaches.Sporty 500W/ 800W /1000Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Motorcycle Parts 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 inRadial Agricultural Tyres 460/85r38.

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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].New Model Solar Home System 3kwh with 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.TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System, required air pressure, and power were considered as predictor variables simultaneously.

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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.800W Stadium Lighting Serials LED Projector Light. Moreover,Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED 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 (Color Changing Swimming Pool Lights), maintenance (Body Circumference Reduction RF Vacuum Fast Slimming System 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,T Solar Mc4 Energy System Connector PV), and annual cost index of mineral processing equipment.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL. Maximum MAER of 13.5% and minimum R2of 0.Mc4y Solar System Waterproof Connector-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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