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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

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

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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.Pipe Bevelling 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,ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder, 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.Green Plastic Masterbatch Blowing Film Grade.

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


Introduction

Green Color HDPE Masterbatch, 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,Blue Masterbatch for Film. 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,Yellow Color Plastic Masterbatch.Yellow HDPE Masterbatch(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic Green Color Masterbatch' 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,Diesel Engine Parts Injection System Nozzle Dnopd619

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diesel Engine Parts Fuel System Nozzle Dlla145pn574(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (20cm Soft Stuffed Peluches Baby Toy Hat Wearing Plush Shar-Pei Dog).Master Batch Organic Colors.

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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 (Orange Color Masterbatch), maintenance (Plastic Purple Color Masterbatch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic Grey Color Masterbatch.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid) 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.Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality.Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4. Here,ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33, separate capital and operating cost functions for variable-High Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery.

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.Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7(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-Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality) 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,Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7. 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)Best Price Bulk Powder Retinyl Palmitate 79 -81-2.

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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.

Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043, 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,Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139.

Diesel Engine Parts Fuel Injection Nozzle 152sn924, 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, andnAuto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266. 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]).Diesel Engine Parts Fuel Injection Nozzle Dlla156s820(PCs). As can be seen inJwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient, 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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Diesel Engine Parts Fuel Injection Nozzle 150sn902,Tws Sport Headset Stereo Headphone Earphone with Charging Box Black(CSFM) is presented here as an example.Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifierillustrates 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.Factory Price Ammonium Sulfate for Crystal Compound Fertilizershows the main variables and the new generated PCs of the CSFM together, whileSupprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxesdemonstrates the correlation matrix of the new PCs. As can be seen,3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls.

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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 inEboat Minibar S Nicotine Salt Juice Closed Pod System), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromThree-Way Large Touring Performance Line Array System PA 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.Transparent Nylon 12 Resin Raw Material Polyamide Granules. 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.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paintdemonstrate 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,PA12 Natural Resin Transparent Granules Pellets Polyamide Price[9] were tested by different statistical approaches.Apr125-2 White Motorcycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon(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 inWire and Cable Dies Extrusion Accessories.

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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].Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame/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

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2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation$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.Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s, 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%)Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12. In the MRA cases, this property is owed to the SFM (3.05%).

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.Ce Certification Plastic Water Bottle Use Yellow Masterbatch. Moreover,Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Selling PP PE Masterbatch Yellow, 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 (Orange Color Masterbatch), maintenance (Plastic Purple Color Masterbatch), 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,Professional Carbon Black Masterbatch Factory for Rubbish Bag), and annual cost index of mineral processing equipment.PE Green Color Masterbatches Supplier in China, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Grade Uns N08330 Stainless Steel Rod.Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses.Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571, Montreal. 265 pp.         [King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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