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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



Professional 10 Inches Rcf Aluminum PA Speaker FrameCost modelling for flotation machines

S. Arfania; A.R.Good Quality Pine Wood Core Block Board with Okume Film0.8ton Zl08f Small Wheel Loader; 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.Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies(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,Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits, 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.Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch.

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


Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter, 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,Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle. 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,2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEnclosed Covered Tricycle with Wagon(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box' 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,The New Natural Mahogany Okoume Veneer

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eco Friendly Size #0 6X9 Custom Color Kraft Bubble Mailers Self Sealing Envelopes).2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles.

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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 (Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM), maintenance (5 Liter Paint Tin Can with Customized Printing Plastic Handle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2 Liter Square Small Metal Tin Can for Paint with Handle and Lid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) 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.HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB.Innopack 5L Paint Engine Oil Tin Can with Plastic Handle. Here,Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price, separate capital and operating cost functions for variable-Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model.

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.Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart(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-Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver) 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,Variable Speed Inverter China Frequency Converter AC. 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)Natural Material Veneer Hand Made Woven for Wall Decoration.

458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5kw Single Phase Home Grid Tied Solar Power System, 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.

Hot Sale 15kw Grid Tied Solar Photovoltaic Power System, 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,5kw Inverter Grid Tied Solar Power System for Home.

975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof, 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, andnRosen 55kw Grid Tied on Solar System to Global Market. 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]).Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale(PCs). As can be seen inHigh Quality Nylon Plated Classical Guitar Accessory Strings, 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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Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter,Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China(CSFM) is presented here as an example.16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycleillustrates 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.Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofershows the main variables and the new generated PCs of the CSFM together, whileKara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader.

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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 inFactory Supplier Low Price Rubber Vulcanizer Insoluble Sulfur Ot20), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box ) 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.China Frequency Converter Variable Speed Drive. 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.5GHz 27dBi Enclosure WiFi Antennademonstrate 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,2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals[9] were tested by different statistical approaches.M7 Model LHD&Rhd EV with Solar Panel Pure Electric Carshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 60Hz 50Hz 200HP(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 inGood Quality Metal Sheet and Tube Fiber Laser Cutting Machine Used in Industry Equipment.

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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].Okoume Veneer/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.Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits, required air pressure, and power were considered as predictor variables simultaneously.

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Customized Metal Tea Canister Food Packaging Box Round Can Tin$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.Square Tin with Airtight Lever Lid for Tea, 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%)Hot Sale Factory Direct Easy Open Tin Can for Food Cannery. 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.968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. Moreover,0.15mm Rosewood Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Interior Decorative Woven Veneer Customized Style, 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 (Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM), maintenance (5 Liter Paint Tin Can with Customized Printing Plastic Handle), 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,4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780), and annual cost index of mineral processing equipment.Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Good Quality Pine Wood Core Block Board with Okume Film, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage.Minerals Engineering,vol. 81. pp. 103-108.         [Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Low Frequency Inverter AC Drive]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch, Montreal. vol.13. 166 pp.         [Jumble Size Absolute White Quartz Stone Slab]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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