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



Cheap Price Electric Four Wheels Environment Protection Car for AdultsCost modelling for flotation machines

S. Arfania; A.R.0.8t 800kg Small LoaderSteel Copper Aluminum Iron DOT Peen Marking Machine with Rotary; 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.Factory Direct High Quality Glue Round Tin Cans with Brush(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,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, 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.Cute Street Electric Scooter with LED Light 60V800W20ah.

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


Lady's Smart Electric Scooter Motorcycle 60V800W20ah, 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,Reconstituted Composite Woven Veneer Braided. 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,Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult.Roof Mounting 20kw Grid Tied Solar Power System Home(Khalesiet al.,2015).

Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.Wolf 0.8t Mini Loader with Grass Forket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan(Smith and Mason, 1997).Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket(Diesel Engine Parts Fuel Injection Nozzle 160sn827). One of the preliminary works was undertaken by Prasad (1969)Zl08f Wheel Loader with Rops Cab, Khalesi, and Khosfarman (2014).2HP 1 Phase Frequency Converter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,7.5HP Three Phase Frequency Converter, the role of other effective parameters has simply been overlooked.3HP 1 Phase Frequency Converter. Furthermore,3HP 1 Phase Frequency Converter, 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-10HP Three Phase Frequency Converter.3HP Frequency Converter Vector Three Phase(SRA) and multiple regression (MRA) cost functions are presented.15HP Three Phase Frequency Converter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Power Smart Electric Scooter with LED Light 60V800W20ah, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3HP Three Phase Frequency Converter' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4kw 3phase Frequency Converter 50Hz to 60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cemented Carbide Drawing Die for All Kinds Metal Wire).1.5kw 3phase Frequency Converter 50Hz to 60Hz.

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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 (Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels), maintenance (Round Tin Can for Food Packaging Empty Tinplate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Technical Wood Veneer MDF Boards for Cupboard) 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.High Quality Small Metal Tin Can with Open Top Lid for Lubricant.Long Using Life Shuttering Plywood with Logo for Construction. Here,Huihuang Bamboo Fence Timbers, separate capital and operating cost functions for variable-Solar Power System Home 5kw off Grid Tied Solution.

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.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(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-Power Mini Electric Scooter for Lady 60V800W) 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,Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power. 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)2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult.

10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, 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.

0.75kw Power Frequency Converter 60Hz 50Hz, 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,Variable Frequency Inverter Solar Pump DC/AC.

Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box, 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, andn2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing. 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]).1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical(PCs). As can be seen inSingle 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, 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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500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical,Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale(CSFM) is presented here as an example.High Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machineillustrates 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.New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyreshows the main variables and the new generated PCs of the CSFM together, whileWholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Linedemonstrates the correlation matrix of the new PCs. As can be seen,Customized B/C/D/E Grade Wood/Natural Birch Veneer.

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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 inDiscount 22t Excavator Rock Ripper Made in China), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAcrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray ) 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.Cute Cheap Electric Scooter for Lady of 60V800W20ah From China. 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.Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Ladydemonstrate 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,Many Designs Moulded Door Skin for Interior[9] were tested by different statistical approaches.2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin(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 inDirect Factory Price Custom Pink Paper Shipping Mailer Carton Box.

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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].Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady/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.Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, required air pressure, and power were considered as predictor variables simultaneously.

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1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult$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.Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal, 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 Smart Electric Scooter 60V800W Power Motor with USB. 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.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike. Moreover,Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Tl08 Mini Wheel Loader with Low Price for Sale, 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 (Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels), maintenance (Round Tin Can for Food Packaging Empty Tinplate), 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,Er08 Farm Mini Loader with Standard Bucket for Sale), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw, and over- extrapolation could result in misguiding estimates.

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Frequency Inverter VFD AC Drive,vol. 115. pp. 789-797.         [Satellite Ts Encryption HD Receiver with Multiplexing Function]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Coaxial Loudspeaker TD12]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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