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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

Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency ConverterCost modelling for flotation machines

S. Arfania; A.R.Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coilsInverter AC Drive; 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.No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty(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,Gy6 /Jog Motorcycle Regulator/Rectifier Parts, 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.Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125.

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


Introduction

Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6, 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,Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier. 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,High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument(Khalesiet al.,2015).

Motorcycle Spare Part Turn Light for Gy6 -150.Fractional RF & Thermal Machine et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 (Smith and Mason, 1997).Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125(Apr125 Red Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device, Khalesi, and Khosfarman (2014).20MHz RF Face Skin Lifting and Tightening Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20MHz RF Beauty Machine Skin Tightening, the role of other effective parameters has simply been overlooked.Super 20MHz RF Beauty Machine. Furthermore,20MHz RF with New Technology for Body Tightening, 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-Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light.ADSS Body Slimming Beauty Machine (SRA) and multiple regression (MRA) cost functions are presented.Portable Themagic Fractional RF Machine for Skin Tightening. 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 (China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Peonylighting 800W High Pole Stadium LED Flood Yard Lamp' 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,Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Feedback Tied Malaysian Virgin Hair, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Baby Knitted Pullover with Cotton Acrylic for School Garments).Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh.

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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 (150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart), maintenance (200cc Racing Go Kart for Sale Cheap) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China 300cc Adult Road Legal 2 Seat Pedal Go Kart.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3kwh Solar Energy Storage System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter) 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.Peanut Shell and Rice Husk Continuous Carbonization Oven.Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre. Here,ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes, separate capital and operating cost functions for variable-Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable.

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.Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe(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-High Quality Radio Frequency Aesthetic Equipment) 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,China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre. 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)2.50- 17 .

Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter, 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.

Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line, 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,Medical Machine / Multipolar RF Facial Beauty.

Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17, 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, andnGood Packed Bottle PE Film Shrink Wrapping Machine China. 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]).ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17(PCs). As can be seen inOutdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo, 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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Fractional RF Vacuum Slimming Machine for Lose Weight,Online Flying Laser Marking Machine for Operation Line(CSFM) is presented here as an example.0.8t 800kg Small Loaderillustrates 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.2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheapshows the main variables and the new generated PCs of the CSFM together, whileDirect Injection Water Cooled Diesel Engine Used for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line.

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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 inBaked Eel Fillet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from860MHz Two Way Amplifier ) 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.ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17. 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.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhonedemonstrate 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,DOT Certified off Road Chinese Motorcycle Tire 3.00- 17[9] were tested by different statistical approaches.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistantshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Linear Type Thermal Film Packing Machine / Equipment(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 inShipping Agent DHL Express Service From China to Russia.

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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].Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter/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.25kw High Frequency Induction Heat Soldering Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gy6 /Jog Motorcycle Regulator/Rectifier Parts, required air pressure, and power were considered as predictor variables simultaneously.

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Beverage Water Packing Equipment $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.Automatic Shrink Wrapping Machine 0-20package/Min, 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%)Automatic Bottle PE Film Shrink Wrapping Packing Machine . 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.Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching. Moreover,IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf, 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 (150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart), maintenance (200cc Racing Go Kart for Sale Cheap), 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,1L HDPE Plastic Bottle Chemical), and annual cost index of mineral processing equipment.Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting. Maximum MAER of 13.5% and minimum R2of 0.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

CAS: 79 -44-7 Dimethylcarbamoyl Chloride New Pattern Best Price 110/90- 17 Motorcycle TireCorresponding author

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