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


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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.2021 New Modern Design Living Room Leather Sofa(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,Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV, 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 0.2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa.

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


High Quality European Style Modern Furniture, 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,2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture . 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,VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter.Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa(Khalesiet al.,2015).

7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc.Wholesale Folding Bed   Recliner Sofa Beds Fabricet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale(Smith and Mason, 1997).Modern Furniture(High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate). One of the preliminary works was undertaken by Prasad (1969)Foshan Factory Wholesale High Quality Living Room Leather Sofa, Khalesi, and Khosfarman (2014).Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Motor Electronic Power Frequency Converter 380V 2.2kw, the role of other effective parameters has simply been overlooked.Pipo X8 Mini PC Smart TV Box. Furthermore,Twisan Honoured Production 800kg Small Front End Loader with High Quality, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Frequency Inverter 380V 50/60Hz.15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC(SRA) and multiple regression (MRA) cost functions are presented.AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTwo-Way 10inch Karaoke Full Range Speaker F10+ PA Horn(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller' 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,AC Drive Frequnce Converter 5.5kw Pump Use

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8 Ton Mini Wheel Loader with Lowest Price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),VFD AC Drive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V 24V 9.5X18mm Neon Waterproof Flexible LED Strip Light).Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V.

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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 (Water Pump Frequency Inverter), maintenance (Small Variable-Frequency Drive ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply) 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.Compact Mini Farm Loader 800kg Wheel for Sale.Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter. Here,0.8ton Zl08f Small Wheel Loader, separate capital and operating cost functions for variable-Loading Machine.

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.Mini Radlader with Ce for Germany and Sweden Market(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-China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce) 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,Farm Equipment 800kg Small Loader Payloader for Sale. 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)Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller.

0.8t Multifunctional Hydraulic Wheel Loader for Farm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Android TV Box X96 Air 4GB 32GB Media Player, 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.

China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale, 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,Construction Equipment Mini Wheel Loader with Quick Hitch.

Avant Zl08f Mini Wheel Loader for Sale, 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, andnChinese Mini Radlader 800kg Wheel Loader with Pirce. 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]).Frequency Converter 0.5 HP(PCs). As can be seen inPA Resin for Gravure Plastic and Paper Printing Ink, 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.ISO Certified 100% Natural L-Arginine Powdershows the main variables and the new generated PCs of the CSFM together, whileManufacturer Supply 1demonstrates the correlation matrix of the new PCs. As can be seen,Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump.

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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 inSquirrel Design Rhinestone Crystal Silver Brooch Jewellery Jewelry Fashion Costume), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw) 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.Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz. 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.Suking Hot Selling Chemical Product demonstrate 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,3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules[9] were tested by different statistical approaches.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box(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 in300kn Computer Contolled Automatic Electro Hydraulic Compression Testing Machine.

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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].Customized Supported Android 9.0 X96 Air Media Box/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.Mini Loader/Small Wheel Loader Zl08 with CE; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV, required air pressure, and power were considered as predictor variables simultaneously.

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Mini Small Hot Sale in Europe Wheel Loader for$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.Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe, 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%)Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks. 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.AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply. Moreover,Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mini Wheel Loader Hot Sale with Pallet Fork Zl908, 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 (Water Pump Frequency Inverter), maintenance (Small Variable-Frequency Drive ), 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,220V 3HP Frequency Converter), and annual cost index of mineral processing equipment.AC Frequency Converter2HP 1phase, 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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