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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. 2017



Two-Way Full Range 1000W Professional Power SpeakerCost modelling for flotation machines

S. Arfania; A.R.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar ModulesInnopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap; 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.Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box(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,Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player, 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.Customized Supported Android 9.0 X96 Air Media Box.

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


Mini Loader/Small Wheel Loader Zl08 with CE, 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,China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment. 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,Small Wheel Loader Zl08 CE.Mini Small Hot Sale in Europe Wheel Loader for(Khalesiet al.,2015).

Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe.Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forkset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Heavy Loader 5wheel Cargo Tricycle with Cabin(Smith and Mason, 1997).AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply(DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw). One of the preliminary works was undertaken by Prasad (1969)Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale, Khalesi, and Khosfarman (2014).Mini Wheel Loader Hot Sale with Pallet Fork Zl908; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,220V 3HP Frequency Converter, the role of other effective parameters has simply been overlooked.AC Frequency Converter2HP 1phase. Furthermore,China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save, 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-Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter.Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes(SRA) and multiple regression (MRA) cost functions are presented.Articulated Compact Small Mini Wheeled Dumper Loader. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;7.5HP Frequency Converter Vector' 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,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Glass Jar 8 Oz 12oz 36oz 6oz 5oz 4oz 3oz 7oz 9oz 10oz).Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price.

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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 (OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV), maintenance (Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive) 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.Inverter AC Drive.Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control. Here,Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, separate capital and operating cost functions for variable-DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy.

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.Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine(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-Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase) 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,800kg Farm Mini Loader Chargeur Minilader Cargador. 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)Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D.

VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Radlader Zl08 Wheel Loader for Sale Mini Articulated, 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.

Customized Bintangor Plywood Face Veneer of Commercial, 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,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android.

0.18mm Engineered Wood Face Veneer, 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, andn4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box. 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]).Dyed Skateboard Veneer(PCs). As can be seen inVera12 Single 12" The Most Economical Line Array Sound System, 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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American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood,Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter(CSFM) is presented here as an example.China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Maskillustrates 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.1500cc Watercraft with 3seatshows the main variables and the new generated PCs of the CSFM together, while5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module Carddemonstrates the correlation matrix of the new PCs. As can be seen,Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood.

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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 inNew Rotary Probe Waterproof Underwater Water Well Inspection Camera), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2.50- 17 ) 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 0.0.8ton Contruction Machine Mini Small Wheel Loader with Bucket. 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.Cosmetic Grade Ultramarine Violet Manufacturerdemonstrate 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,Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture[9] were tested by different statistical approaches.SA831r Outdoor Return Path CATV Trunk Amplifiershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Top Quality Cheap Price 0.3mm Birch Face Veneer for 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 inHalal Bag Packing Nine Vegetable Added Biscuit.

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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].20mm Plywood or Timber/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.Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player, required air pressure, and power were considered as predictor variables simultaneously.

Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm. Moreover, the operating cost was detailed in different cost items.10'x6' Rotary Cut Okoume Veneer for Plywood, indicated inB&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, and major extrapolation should be avoided.

Engineer Veneer Ebony$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 0.800kg China Articulated Mini Small Compact Front End Wheel Loaders, 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%)Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality. 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.0.8t Snow Plow Loader Zl08 Mini Wheel. Moreover,Construction Zl08f Mini Hydraulic Compact Front End 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 (Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower, 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 (OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV), maintenance (Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box), 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,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork), and annual cost index of mineral processing equipment.Zl08f Construction Machine Farm Tractors Mini Compact Loaders, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back. Maximum MAER of 13.5% and minimum R2of 0.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell-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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