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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


5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module CardCost modelling for flotation machines

S. Arfania; A.R.Articulated Compact Small Mini Wheeled Dumper LoaderHot Sale 15kw Grid Tied Solar Photovoltaic Power System; 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.Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact(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,7.5HP Frequency Converter Vector, 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.New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality.

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


Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader 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,Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader. 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,G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K.Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor(Khalesiet al.,2015).

Vectron Frequency Inverter.Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucketet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply(Smith and Mason, 1997).Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price(Transparent Nylon 12 Resin Raw Material Polyamide Granules). One of the preliminary works was undertaken by Prasad (1969)OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV, Khalesi, and Khosfarman (2014).Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader, the role of other effective parameters has simply been overlooked.Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw. Furthermore,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Inverter AC Drive.Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control(SRA) and multiple regression (MRA) cost functions are presented.Small Compact Front Wheel Loader / Zl08 Farm Garden Mini. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2.50- 17 (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine' 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,Radlader Zl08 Wheel Loader for Sale Mini Articulated

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Customized Bintangor Plywood Face Veneer of Commercial, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Whole Sale Hand Sanitizer Gel in Small and Big Bottle Alcohol  Hand).0.18mm Engineered Wood Face Veneer.

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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 (4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box), maintenance (Dyed Skateboard Veneer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter) 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.Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India. Here,0.8ton Contruction Machine Mini Small Wheel Loader with Bucket, separate capital and operating cost functions for variable-Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture.

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.Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood(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-Natural Wood Sapele Veneer Plywood for Furniture Grade) 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,20mm Plywood or Timber. 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)Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood.

Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10'x6' Rotary Cut Okoume Veneer for Plywood, 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.

Engineer Veneer Ebony, 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,800kg China Articulated Mini Small Compact Front End Wheel Loaders.

Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, 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, andn0.8t Snow Plow Loader Zl08 Mini Wheel. 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]).Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale(PCs). As can be seen inCosmetic Grade Ultramarine Violet Manufacturer, 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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Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork,Zl08f Construction Machine Farm Tractors Mini Compact Loaders(CSFM) is presented here as an example.Low Price B/C/D/E Grade Wood/Natural Birch Veneerillustrates 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.Diesel Engine Parts Fuel Injection Nozzle 160sn529shows the main variables and the new generated PCs of the CSFM together, whileB&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back.

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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 inCasserole Mould), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGrowatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied) 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.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price. 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.18mm Embossed Melamine Faced Commercial Plywood for Furniture Makingdemonstrate 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,High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor[9] were tested by different statistical approaches.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmideshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sapele Veneer Plywood Sheet for Wood Furniture and Decoration(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 inChina High Quality Non Chuck Spindle Peeling 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].Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive/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.Veneer Engineer Poplar Cross Grain 0.50mm; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,7.5HP Frequency Converter Vector, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter$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.Frequency Converter, 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%)1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive. 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.Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture. Moreover,Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader, 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 (4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box), maintenance (Dyed Skateboard Veneer), 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,1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz), and annual cost index of mineral processing equipment.220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor,vol. 46, no.6. pp. 559-562.         [CAS: 13463-67-7 Titanium Dioxide Powder]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Bluetooth Controlled LED Strip Light with Rechargeable Battery]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz]

Khalesi, M. R., Zarei, M. J.,Articulated Compact Small Mini Wheeled Dumper Loader, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using.Minerals Engineering,vol. 81. pp. 103-108.         [Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Radlader Zl08 Mini Wheel Loader for Agriculture Work, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Big Subwoofer Line Array Speaker ]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Brand New Loader Mini Garden Farm Zl08 Wheel,vol. 115. pp. 789-797.         [Velvet Office Sofa Chair Modern 0303]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Stable Quality 1year Qhdtv HD IPTV Abonnement Reseller Panel Lxtream Code All Europe Italy UK USA Spain France Arabic Morocco Channel]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring, Montreal. vol.13. 166 pp.         [Mini Wooden Cube Board Game Pieces Made in China]

Mular, A.L. 1982.Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce.Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box.Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6, Montreal. 265 pp.         [High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [2021 Factory Wholesale Price All-in-One 55inch Digital Monitor Touch LCD Display Kiosk Double-Side Indoor/Outdoor Signage Advertising Media Player]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving.vol. 1.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Dual 10 " Hot Sales Q1 Line Array Speaker]

Prasad, L. 1969.AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs]

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10'x6' Rotary Cut Okoume Veneer for Plywood, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Factory Price Beard Care 100% Pure Natural Oil for Male]

10'x6' Rotary Cut Okoume Veneer for Plywood, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake]

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Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price]

Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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