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



MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter BiometerCost modelling for flotation machines

S. Arfania; A.R.DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green EnergyYn725g Yineng Mini Wheel Loader 18.5kw No Cabin; 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.Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine(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,Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, 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 0.800kg Farm Mini Loader Chargeur Minilader Cargador.

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


Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D, 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,VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine. 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,Radlader Zl08 Wheel Loader for Sale Mini Articulated.Customized Bintangor Plywood Face Veneer of Commercial(Khalesiet al.,2015).

Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android.0.18mm Engineered Wood Face Veneeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3kw Air-Cooled UHF Digital TV Transmitter DTV(Smith and Mason, 1997).4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box(Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe). One of the preliminary works was undertaken by Prasad (1969)Dyed Skateboard Veneer, Khalesi, and Khosfarman (2014).J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood, the role of other effective parameters has simply been overlooked.Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter. Furthermore,Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood, 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-Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India.0.8ton Contruction Machine Mini Small Wheel Loader with Bucket(SRA) and multiple regression (MRA) cost functions are presented.Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Natural Wood Sapele Veneer Plywood for Furniture Grade' 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,Engineer Veneer Ebony

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800kg China Articulated Mini Small Compact Front End Wheel Loaders, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solvent Red 24).0.8t Snow Plow Loader Zl08 Mini Wheel.

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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 (Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale), maintenance (Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Zl08f Construction Machine Farm Tractors Mini Compact Loaders) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back) 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.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price. Here,High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor, separate capital and operating cost functions for variable-Sapele Veneer Plywood Sheet for Wood Furniture and Decoration.

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.2.8X1.9 Large Size Rotary Cut Okoume Face Veneer(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-Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V 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,Veneer Engineer Poplar Cross Grain 0.50mm. 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)380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency.

Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter, 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.

Frequency Converter, 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,1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive.

Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture, 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, andnManual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor. 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]).Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader(PCs). As can be seen in500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike, 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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220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter,Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8(CSFM) is presented here as an example.China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesaleillustrates 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.3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Convertershows the main variables and the new generated PCs of the CSFM together, whileGrid Tied 100kw 200kw 300kw Solar Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart 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 inMini SPA Tub Outdoor Acrylic Glass Enclosed Bathtub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGo Kart ) 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.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor. 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.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Servicedemonstrate 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,Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using[9] were tested by different statistical approaches.2-Cyclohexylethanol shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Radlader Zl08 Mini Wheel Loader for Agriculture Work(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 inHealth Food Glass Container/ Packaging/ Bottle.

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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].Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control/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.Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, required air pressure, and power were considered as predictor variables simultaneously.

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Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce$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.Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box, 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%)Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6. 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.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China. Moreover,China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH 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 (Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale), maintenance (Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower), 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,AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply), and annual cost index of mineral processing equipment.11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving. Maximum MAER of 13.5% and minimum R2of 0.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor,vol. 46, no.6. pp. 559-562.         [Encryption Ts Satellite IRD]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker]

Khalesi, M. R., Zarei, M. J.,DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale.Minerals Engineering,vol. 81. pp. 103-108.         [Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket]

Kim, G.H., An, S.H., and Kang, K.I. 2004.New Zl08 Mini Radlader with Hydraulic Transmission, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Mc4 Electronic Connector]

Lashgari, A.Yn725 G CE Approved Hot Sale Mini Wheel Loader, A.R. 2013.Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader,Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade,vol. 23. pp. 441-446.         [Supply Inventory 99.7% Min Silver Sulfate CAS 10294-26-5 Thickener]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader,vol. 115. pp. 789-797.         [Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Disperse Dyestuff Violet 200% P-CF for Textile]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter, Montreal. vol.13. 166 pp.         [Nylon IEC IP44 220V Industrial Plug and Socket]

Mular, A.L. 1982.Wolf Mini Loader Wl80 with Grass Cutter.Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, Montreal. 265 pp.         [High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, Montreal. 319 pp.         [New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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