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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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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

Universal Vector InverterCost modelling for flotation machines

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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.Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2(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,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%, 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 Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price.

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


Introduction

Pharmaceutical Intermediate Bulk Price N- , 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,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply. 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,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand.Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl(Khalesiet al.,2015).

Speaker System High Power H3.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceuticalet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo(Smith and Mason, 1997).Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4(Mc4y Solar Connector). One of the preliminary works was undertaken by Prasad (1969)500W Powered Speaker Professional Sound Line Array System , Khalesi, and Khosfarman (2014).Proxima Entertainment Z-450 Digtal Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500, the role of other effective parameters has simply been overlooked.Lat210A Srx700 Series PA Sound System Professional Speakers. Furthermore,Professional Public Address Mini Onwall Line Array Speaker , 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-Q1--Dual10 Inch Line Array Speaker.12inches PA Speaker Audio Component(SRA) and multiple regression (MRA) cost functions are presented.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. 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 (Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Power Amplifiers PA Speaker System Amplifier 1000 Watt' 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,Professional Speaker with Laser Light

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 LED Neon Sign Pumpkin Shape).L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array 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 (100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4), maintenance (High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Free Sample Organic Chemicals 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Phena) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4) 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.18" Fane Style Aluminum Speaker Frame.18" Die Cast P-Auido Style Aluminum Frame. Here,Professional Stage Active Line Array Speaker with DSP, separate capital and operating cost functions for variable-Single 18" Subwoofer Speaker Box.

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.Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse(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-12" Professional Rcf Style Speaker Frame) 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,Horn Professional Speaker H3. 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)Coaxial Loudspeaker TD12.

18'' Subwoofer Speaker Box Ls1200, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 12" Subwoofer Speaker Box, 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.

DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional, 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,Fast Delivery 1.

Professional Speaker Box F12+, 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, andnDf B&C Trees Speaker Subwoofer Audio Professional. 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]).15'' Coaxial Speaker (PCs). As can be seen in2876 10kw Home Used Solar Power System on Grid Roof, 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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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.High Purity Ethylamine HClshows the main variables and the new generated PCs of the CSFM together, whileJarol Frequency Inverter JAC200 3 Phase 380V 4kwdemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturer Supply Bdo Novel 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 inColorful Soft and Cute Stuffed Doll), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Printing Food Packaging Plastic Bags with Resealable Zipper) 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 0.99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6. 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.5GHz 29.5dBi Die Cast Grid Antennademonstrate 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,China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole[9] were tested by different statistical approaches.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.400 Watt Portable Music Player Speaker Professional Audio(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 inSmall European Bathroom Decorative Sizes Corner 2 Person Whirlpool Bathtub Waterfall.

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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].Dm 15 Inch PA Full Sound Systems Professional PRO Speaker/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.12inch KTV Bar PA Full Sound Speaker System Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%, required air pressure, and power were considered as predictor variables simultaneously.

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PA Speaker Dual 18" Subwoofer System$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.PA Speaker with Line Array Tweeter Horn , 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%)Active Mini Line Array Speaker with DSP Amplifier Module. 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.Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder. Moreover,High Quality Karaoke Loudspeaker with B&C Compression Driver, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0, 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 (100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4), maintenance (High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price), 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,Factory Supply BMK Powder Glycidate CAS: 5413-05-8), and annual cost index of mineral processing equipment.China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone, and over- extrapolation could result in misguiding estimates.

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address]

Khalesi, M. R., Zarei, M. J.,Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5.Minerals Engineering,vol. 81. pp. 103-108.         [St 5kw Single Phase AC Electric Alternator Generator]

Kim, G.H., An, S.H., and Kang, K.I. 2004.99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector]

Lashgari, A.62442 Shiny and Non Phena Powder 62 44 2, A.R. 2013.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate,Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder,vol. 23. pp. 441-446.         [Customized OEM Artificial Quartz Stone for Table Top /Vanity]

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Mular, A.L. 1982.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.Portable 15inch PA Speaker F15+.Pharmaceutical Chemical CAS 236117-38-7, Montreal. 265 pp.         [New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini]

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Dual 12" Subwoofer Speaker Box, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Professional Powered Line Array Selfpowered Speakers Active System.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [High Security Door Peephole Eyes Viewer DV3828b ]

Dual 12" Subwoofer Speaker Box, 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.         [New Arrival High Quality Alloy Metal Pin Cute Brooch]

Dual 12" Subwoofer Speaker Box, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Food Grade Metal Tin Can with Printing Logo for Cooking Oil]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical1.2mm White Poplar Veneer From Factory for ExportingCorresponding author

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