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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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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

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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.AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter(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,Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz, 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 0.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules.

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


Introduction

Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box, 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,Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player. 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,Customized Supported Android 9.0 X96 Air Media Box.Mini Loader/Small Wheel Loader Zl08 with CE(Khalesiet al.,2015).

China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment.Small Wheel Loader Zl08 CEet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House(Smith and Mason, 1997).Mini Small Hot Sale in Europe Wheel Loader for(L-Arginine 99%). One of the preliminary works was undertaken by Prasad (1969)Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe, Khalesi, and Khosfarman (2014).Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply, the role of other effective parameters has simply been overlooked.Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale. Furthermore,Mini Wheel Loader Hot Sale with Pallet Fork Zl908, 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-220V 3HP Frequency Converter.AC Frequency Converter2HP 1phase(SRA) and multiple regression (MRA) cost functions are presented.China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save. 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 (Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes' 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,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt4-35b Full Automatic Block Making Machine with Ce).Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor.

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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 (Vectron Frequency Inverter), maintenance (Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box) 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.Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader.Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw. Here,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, separate capital and operating cost functions for variable-Inverter AC Drive.

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 and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control(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-Small Compact Front Wheel Loader / Zl08 Farm Garden Mini) 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,DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy. 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)Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine.

Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (800kg Farm Mini Loader Chargeur Minilader Cargador, 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.

Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D, 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,VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine.

Radlader Zl08 Wheel Loader for Sale Mini Articulated, 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, andnCustomized Bintangor Plywood Face Veneer of Commercial. 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]).Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android(PCs). As can be seen inCylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor, 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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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.Jacuzzi Massage Endless Swimming Pool Swim SPAshows the main variables and the new generated PCs of the CSFM together, while220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Usedemonstrates the correlation matrix of the new PCs. As can be seen,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box.

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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 inChina Supplier Cheap Wholesale Gift Metal Gold Copper Plating Award Commemorate 5K 10K Marathon Running Trophies Sport Medal with Exquisite Logo), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWaterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty) 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.Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter. 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.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packagingdemonstrate 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,Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood[9] were tested by different statistical approaches.5.8GHz 30dBi Single-Pol Die Cast Grid Antennashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India(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 inSupport OEM/ODM CE/FDA Certificate Cleaning Product Antibacterial 75% Alcohol Water-Less Hand Sanitizer Gel.

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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].Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture/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.Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood$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.Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm, 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%)10'x6' Rotary Cut Okoume Veneer for Plywood. 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.Engineer Veneer Ebony. Moreover,800kg China Articulated Mini Small Compact Front End Wheel Loaders, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, 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 (Vectron Frequency Inverter), maintenance (Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket), 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,0.8t Snow Plow Loader Zl08 Mini Wheel), and annual cost index of mineral processing equipment.Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower. Maximum MAER of 13.5% and minimum R2of 0.Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork-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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