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



Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce CertificationCost modelling for flotation machines

S. Arfania; A.R.Radlader Zl08 Wheel Loader for Sale Mini ArticulatedOTR Heavy Loader Tyre L5 20.5-25 Size Best Price; 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.Customized Bintangor Plywood Face Veneer of Commercial(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,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android, 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 0.0.18mm Engineered Wood Face Veneer.

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


4K J45 128GB Stick Firmware Download User Manual for Cable Junction 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,Dyed Skateboard Veneer. 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,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood(Khalesiet al.,2015).

Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter.Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywoodet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Converter 50HP Three Phases(Smith and Mason, 1997).Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India(500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike). One of the preliminary works was undertaken by Prasad (1969)0.8ton Contruction Machine Mini Small Wheel Loader with Bucket, Khalesi, and Khosfarman (2014).Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, the role of other effective parameters has simply been overlooked.Natural Wood Sapele Veneer Plywood for Furniture Grade. Furthermore,20mm Plywood or Timber, 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-Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood.Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm(SRA) and multiple regression (MRA) cost functions are presented.10'x6' Rotary Cut Okoume Veneer for Plywood. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Engineer Veneer Ebony, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEndless Swimming Pool(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;800kg China Articulated Mini Small Compact Front End Wheel Loaders' 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,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08f Construction Machine Farm Tractors Mini Compact Loaders, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ceramic Takeaway Coffee Cup with Silicone Cover/ Sleeve for Promotional).0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell.

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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 Variable Frequency Drive Vector VFD Inverter Elevator Motor Price), maintenance (High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sapele Veneer Plywood Sheet for Wood Furniture and Decoration.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2.8X1.9 Large Size Rotary Cut Okoume Face Veneer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V 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.Veneer Engineer Poplar Cross Grain 0.50mm.380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency. Here,Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, separate capital and operating cost functions for variable-Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter.

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.Frequency Converter(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-1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter 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,Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture. 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)Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor.

Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz, 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.

220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, 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,Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8.

Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box, 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, andnFactory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV. 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 Power Supply China Variable Speed Drive Voltage Converter AC Motor(PCs). As can be seen in3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter, 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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Radlader Zl08 Mini Wheel Loader for Agriculture Work,Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale(CSFM) is presented here as an example.2-Way Speaker PS10 for High Quality Stage Monitorillustrates 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.AC Drive Frequnce Converter Frequence Inverter Manufacturer Suppliershows the main variables and the new generated PCs of the CSFM together, whileGo Kart demonstrates the correlation matrix of the new PCs. As can be seen,Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control.

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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 inHigh Resolution P3 LED Video Wall Indoor Display Advertising Screen), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2-Cyclohexylethanol ) 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.Brand New Loader Mini Garden Farm Zl08 Wheel. 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.1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stickdemonstrate 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,Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring[9] were tested by different statistical approaches.High bright Samsung 46" 49" 55" LCD video wall screen monitorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce(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 inProtective Surgical Medical Face Mask.

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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].Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6/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.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android, required air pressure, and power were considered as predictor variables simultaneously.

China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive. Moreover, the operating cost was detailed in different cost items.Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor, indicated in15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker, and major extrapolation should be avoided.

AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply$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 0.11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller, 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%)Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving. 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.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor. Moreover,3 pH 37kw Variable Frequency Drive with AC Input Motor Driver, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor, 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 Variable Frequency Drive Vector VFD Inverter Elevator Motor Price), maintenance (High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor), 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,Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale), and annual cost index of mineral processing equipment.New Zl08 Mini Radlader with Hydraulic Transmission, 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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