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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



49" 450nits LG panel advertising LCD screen Cost modelling for flotation machines

S. Arfania; A.R.125HP Elevator Inverter Price Electronics 220V 240V Three Phase PumpBody Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China(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,AC Board China Vector Control 60Hz to 50Hz VFD Drive Price, 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.Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump.

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


AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter, 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,Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz. 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,3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules.Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box(Khalesiet al.,2015).

Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player.Customized Supported Android 9.0 X96 Air Media Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5(Smith and Mason, 1997).Mini Loader/Small Wheel Loader Zl08 with CE(Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5). One of the preliminary works was undertaken by Prasad (1969)China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment, Khalesi, and Khosfarman (2014).Small Wheel Loader Zl08 CE; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mini Small Hot Sale in Europe Wheel Loader for, the role of other effective parameters has simply been overlooked.Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe. Furthermore,Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks, 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-AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply.Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale(SRA) and multiple regression (MRA) cost functions are presented.Mini Wheel Loader Hot Sale with Pallet Fork Zl908. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (220V 3HP Frequency Converter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTwo-Way Full Range 1000W Professional Power Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Frequency Converter2HP 1phase' 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,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,7.5HP Frequency Converter Vector, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale OEM Baby Nappy).Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce.

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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 (Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader), maintenance (G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vectron Frequency Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket) 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.Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price.OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV. Here,Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box, separate capital and operating cost functions for variable-Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader.

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.Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw(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-50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive) 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,Inverter AC Drive. 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)Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control.

Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy, 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.

Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine, 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,Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase.

800kg Farm Mini Loader Chargeur Minilader Cargador, 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, andnTitan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D. 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]).VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine(PCs). As can be seen inDC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw, 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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Customized Bintangor Plywood Face Veneer of Commercial,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android(CSFM) is presented here as an example.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factoryillustrates 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.Vera12 Single 12" The Most Economical Line Array Sound Systemshows the main variables and the new generated PCs of the CSFM together, whileBio-Degradable Brown Kraft Food Packaging Bagdemonstrates the correlation matrix of the new PCs. As can be seen,0.18mm Engineered Wood Face Veneer.

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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 inRail steel dormant h beam), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module Card) 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.Dyed Skateboard Veneer. 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.Transparent Nylon 12 Resin Raw Material Polyamide Granulesdemonstrate 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,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box[9] were tested by different statistical approaches.2.50- 17 shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood(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 inBig Eyes Plush Small Dog Toy Farm Animal Cartoon for Kids.

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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].Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood/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.


Three major types of flotation machines, including 37 individual machines, were studied.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Board China Vector Control 60Hz to 50Hz VFD Drive Price, required air pressure, and power were considered as predictor variables simultaneously.

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Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood$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.Natural Wood Sapele Veneer Plywood for Furniture Grade, 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%)20mm Plywood or Timber. In the MRA cases, this property is owed to the SFM (3.05%).


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.Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood. Moreover,Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10'x6' Rotary Cut Okoume Veneer for Plywood, 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 (Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader), maintenance (G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K), 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,Engineer Veneer Ebony), and annual cost index of mineral processing equipment.800kg China Articulated Mini Small Compact Front End Wheel Loaders, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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