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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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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

GENERAL PAPERS

Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound ScannerCost modelling for flotation machines

S. Arfania; A.R.Dual 10 " Compact Speaker Line Array 280mm Magnet; 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.10 " Woofer with 3" Voice Coil(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,Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64, 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.Dual 10 Inch Line Array Speaker for Theater .

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


Introduction

Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , 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,Dual 10 Inch Line Array for Church . 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,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box .10'' Inch Ferrite Woofer(Khalesiet al.,2015).

V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.Q1 Dual 10 " Line Array Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD(Smith and Mason, 1997).D&B Style Dual 10 " Compact Line Array (China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire). One of the preliminary works was undertaken by Prasad (1969)New Tw Audio Vera36 Dual 10 " Line Array Speaker System, Khalesi, and Khosfarman (2014).Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 " Compact Professional Line Array , the role of other effective parameters has simply been overlooked.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr. Furthermore,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, 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-Hot Sale Vacuum Bag Nylon Material for Agricultural Products.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic(SRA) and multiple regression (MRA) cost functions are presented.Bio-Degradable Brown Kraft Food Packaging Bag. 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 (Child Resistant Waterproof Plastic Bag with Zipper, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Selling 2ND Generation Ultrasound Bone Densitometer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag' 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,Alumimun Foil Film Bag

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,99 Purity Peptides Oxytocin Injection Acetate 2mg, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sulphur Black 200 for Textile/Leather Dyes).Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .

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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 (USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory), maintenance (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (10'' Inch Ferrite Woofer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production) 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.10'' Ferrite Woofer.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker . Here,D&B Style Dual 10 " Professional Speaker Line Array , separate capital and operating cost functions for variable-UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds.

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.Line Array 10 Inchneodymiun PRO Audio Woofer(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-Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice) 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,Mylar Custom Printing Barrier Exit Bag. 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)10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.

10 Inch Coaxial Speaker Professional Driver 250wrms Line Array, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, 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.

Manufacturer Supply 1, 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,Dual 10inch Powerful Line Array Speaker Ds210 Professional.

Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, 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, andnNeodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker. 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]).Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794(PCs). As can be seen inHeavy Loader 5wheel Cargo Tricycle with Cabin, 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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High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box(CSFM) is presented here as an example.Sdc Shrink Collet Chuck Toolholders for CNC Machine Partillustrates 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.Hot Sale Motorcycle with 150cc Gy6 Engineshows the main variables and the new generated PCs of the CSFM together, whileSingle Phase Mini AC DC Motor Speed Controllerdemonstrates the correlation matrix of the new PCs. As can be seen,Pharmaceutical Intermediate 1.

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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 inCe UL Saso 110V Pure White Dimming E26 Energy Saving 10W LED Light Made in China for Living), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromIndustrial Grade SHMP ) 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.Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3. 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.World IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Boxdemonstrate 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,High Quality 1[9] were tested by different statistical approaches.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatusshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3(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 in2W/4W/ 6W /8W LED Diamond Bulb Dimmable Glass Light.

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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].Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price/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.High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64, required air pressure, and power were considered as predictor variables simultaneously.

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Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price$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.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, 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%)Qsn Professional Audio Dual 10 "Power Speaker Xt10. 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.Hot Selling Powder Thiabendazole CAS 148- 79 -8. Moreover,High Quality Coffee /Candy/Weed Plastic Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio, 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 (USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory), maintenance (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China), 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,Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit), and annual cost index of mineral processing equipment.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System. Maximum MAER of 13.5% and minimum R2of 0.Two-Way Passive Line Array -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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