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



Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium IonCost modelling for flotation machines

S. Arfania; A.R.Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable BatteryArticulated Loader Mini Compact Wheel with Shovel; 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.Custom Waterproof and Oil Sealing Round Metal Tin Can(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,CE Er08 Mini Wheel Loader with One-Year Warranty for Sale, 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.Innopack Tin Can with Brush Round Oil Cans.

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


Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, 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,2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult. 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,3 Liter Tin Packing Chemical Can with Spout.Food Grade Round Tin Can for Welded Milk Powder Packaging(Khalesiet al.,2015).

1gallon Round Metallic Tin Can with Metal Handle for Paint.Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350Wet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China(Smith and Mason, 1997).Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use(Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch). One of the preliminary works was undertaken by Prasad (1969)350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale, Khalesi, and Khosfarman (2014).Fluid Storage Containers Lubricants for Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.8t 800kg Small Loader, the role of other effective parameters has simply been overlooked.Factory Direct High Quality Glue Round Tin Cans with Brush. Furthermore,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, 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-Cute Street Electric Scooter with LED Light 60V800W20ah.Lady's Smart Electric Scooter Motorcycle 60V800W20ah(SRA) and multiple regression (MRA) cost functions are presented.Reconstituted Composite Woven Veneer Braided. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g Yineng Mini Wheel Loader 18.5kw Without Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Roof Mounting 20kw Grid Tied Solar Power System Home' 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,2HP 1 Phase Frequency Converter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,7.5HP Three Phase Frequency Converter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3HP 1 Phase Frequency Converter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (13m Length Steel S275jr S235j2c Products Galvanized Pickle Polished for Flat Sheets).3HP 1 Phase Frequency Converter.

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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 (10HP Three Phase Frequency Converter), maintenance (3HP Frequency Converter Vector Three Phase) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,15HP Three Phase Frequency Converter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Power Smart Electric Scooter with LED Light 60V800W20ah) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3HP Three Phase Frequency Converter) 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.1HP Frequency Converter Vector Three Phase.15HP Frequency Converter Vector Three Phase. Here,2HP Frequency Converter Vector Single Phase, separate capital and operating cost functions for variable-Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.

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.Home Use 6kw Grid Tied Solar Power System with High Performance(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-Hot Sale 10kw 10000W off Grid Solar Power System Home Use) 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,4kw 3phase Frequency Converter 50Hz to 60Hz. 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)1.5kw 3phase Frequency Converter 50Hz to 60Hz.

Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Round Tin Can for Food Packaging Empty Tinplate, 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.

2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal, 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,Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs.

Technical Wood Veneer MDF Boards for Cupboard, 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, andnHigh Quality Small Metal Tin Can with Open Top Lid for Lubricant. 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]).Long Using Life Shuttering Plywood with Logo for Construction(PCs). As can be seen inHot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, 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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Solar Power System Home 5kw off Grid Tied Solution,2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(CSFM) is presented here as an example.0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furnitureillustrates 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.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohmshows the main variables and the new generated PCs of the CSFM together, whileSolar Inverter Pump 15kwdemonstrates the correlation matrix of the new PCs. As can be seen,Power Mini Electric Scooter for Lady 60V800W.

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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 in0.25t/0.5t Ratchet Lever Hoist/Ratchet Pulley Hoist), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDonbn Dz- 10 Two Way Full Range Professional KTV Speaker) 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 0.2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult. 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.500kw Solar Energy System Grid Tied 500kwatt Panel Stationdemonstrate 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,10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof[9] were tested by different statistical approaches.Retinoic Acid CAS No. 302- 79 -4shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use(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 inWholesale Glassware Square Shape Oil Glass Bottle Perfume Cosmetic Packaging.

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Cost model for variable-0.75kw Power Frequency Converter 60Hz 50Hz

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].Variable Frequency Inverter Solar Pump DC/AC/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.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CE Er08 Mini Wheel Loader with One-Year Warranty for Sale, required air pressure, and power were considered as predictor variables simultaneously.

2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing. Moreover, the operating cost was detailed in different cost items.1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical, indicated inMini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece, and major extrapolation should be avoided.

Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap$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 0.500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical, 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%)Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. 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.Customized B/C/D/E Grade Wood/Natural Birch Veneer. Moreover,3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cute Cheap Electric Scooter for Lady of 60V800W20ah From China, 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 (10HP Three Phase Frequency Converter), maintenance (3HP Frequency Converter Vector Three Phase), 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,Many Designs Moulded Door Skin for Interior), and annual cost index of mineral processing equipment.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin, 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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