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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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Arc Shaped Column Speaker for Restaurant and Shopping MallCost modelling for flotation machines

S. Arfania; A.R.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with PedalNatural Material Veneer Hand Made Woven for Wall Decoration; M.R. Khalesi

Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs(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,Technical Wood Veneer MDF Boards for Cupboard, 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.High Quality Small Metal Tin Can with Open Top Lid for Lubricant.

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


Introduction

Long Using Life Shuttering Plywood with Logo for Construction, 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,Huihuang Bamboo Fence Timbers. 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,Solar Power System Home 5kw off Grid Tied Solution.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(Khalesiet al.,2015).

Power Mini Electric Scooter for Lady 60V800W.Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Poweret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Smith and Mason, 1997).2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult(433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module). One of the preliminary works was undertaken by Prasad (1969)10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof, Khalesi, and Khosfarman (2014).High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.75kw Power Frequency Converter 60Hz 50Hz, the role of other effective parameters has simply been overlooked.Variable Frequency Inverter Solar Pump DC/AC. Furthermore,Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box, 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-2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing.1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical(SRA) and multiple regression (MRA) cost functions are presented.Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPLA Masterbatch Manufacturers for 3D Printing Filament(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale' 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,Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Baking Equipment Rotary Rack Oven).Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult.

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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 (350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults), maintenance (1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Smart Electric Scooter 60V800W Power Motor with USB) 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.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike.Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W. Here,China Tl08 Mini Wheel Loader with Low Price for Sale, separate capital and operating cost functions for variable-Er08 Farm Mini Loader with Standard Bucket for Sale.

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.Yn725 Yineng Mini Wheel Loader 18.5kw(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-Ce Approved Mini Loader with Road Sweeper) 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,2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. 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)Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use.

Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (60V/72V 1200W Electric Scooter with Tianneng Battery, 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.

Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid, 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,Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System.

Metal Cans 0.925 Liter Tin Barrel for Packaging Container, 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, andnFrequency Inverter Pump AC Drive Price. 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 Inverter VFD AC Drive(PCs). As can be seen inPlastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch, 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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Frequency Converter for Water Pump,Power Frequency Converter AC Drive Inverter(CSFM) is presented here as an example.5GHz Antenna High Gain 29dBiillustrates 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.6A Grade Indian Beardshows the main variables and the new generated PCs of the CSFM together, while3kw Liquid Cooling UHF Digital TV Transmitter DTVdemonstrates the correlation matrix of the new PCs. As can be seen,Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals.

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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 inEmbroidery off-Shoulder Bridal Wedding Gown White A Line Dress), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw) 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.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans. 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.Hot Sale Factory Direct Easy Open Tin Can for Food Cannerydemonstrate 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,AC Frequency Converter 50Hz 60Hz Drive Inverter[9] were tested by different statistical approaches.Tricycle with Wagon 3 Wheel Motorcycle Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult(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 inAISI4140 SA285gr Sb410 410b High Pressure Container Steel Plate.

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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].Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Technical Wood Veneer MDF Boards for Cupboard, required air pressure, and power were considered as predictor variables simultaneously.

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Conclusion

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.Yn725 Yineng Mini Wheel Loader 18.5kw. Moreover,Wheel Loader Mini Wolf Wl80 with Forks, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System, 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 (350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults), maintenance (1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery), 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,Wolf Wl80 Mini Radlader Hoflader with Forks in Farm), and annual cost index of mineral processing equipment.High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box. Maximum MAER of 13.5% and minimum R2of 0.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export-feasibility and even feasibility study level of projects.

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Lashgari, A.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service, A.R. 2013.Grid Tied 30kw Solar PV System for Shingle Roof,Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale,vol. 23. pp. 441-446.         [Industrial Pneumatic Tyre Skid Steer Loader Forklift Tyres 10-16.5 12-16.5 14-17.5 15-19.5]

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Mular, A.L. 1982.Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof.2013 Popular Electric Motorcycle 90km with Pedal CE .Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, Montreal. 265 pp.         [Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Wolf Loader Wl80 Radlader Without Cabin.Yn725g Approved Hot Sale Mini Wheel Loader Yn725.Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, Montreal. 319 pp.         [ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes]

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60V/72V 1200W Electric Scooter with Tianneng Battery, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Jarol Frequency Inverter JAC200 3 Phase 380V 4kw.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity]

60V/72V 1200W Electric Scooter with Tianneng Battery, 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.         [Finished Tungsten Carbide Dies for Drawing Wires]

60V/72V 1200W Electric Scooter with Tianneng Battery, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle]

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USBM. 1987.Inverter,AC Drive Inverter Low Frequency Power-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [High Quality Plastic Action Figure Toys]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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