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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

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High Purity Ethylamine HClCost modelling for flotation machines

S. Arfania; A.R.Q1--Dual10 Inch Line Array SpeakerJarol Frequency Inverter JAC200 3 Phase 380V 4kw; 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.12inches PA Speaker Audio Component(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,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, 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.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA.

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


Introduction

Power Amplifiers PA Speaker System Amplifier 1000 Watt, 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,Wholesales Organic Intermediate 1. 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,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell.Live/Installed Sound System PRO Speaker Box (Khalesiet al.,2015).

Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA.Professional Speaker with Laser Light et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for KTV 10 Inch Speaker Box with Good Sound(Smith and Mason, 1997).XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker(PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array). One of the preliminary works was undertaken by Prasad (1969)Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights, Khalesi, and Khosfarman (2014).L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4, the role of other effective parameters has simply been overlooked.High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price. Furthermore,Free Sample Organic Chemicals 1, 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-High Quality Phena.Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4(SRA) and multiple regression (MRA) cost functions are presented.18" Fane Style Aluminum Speaker Frame. 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 (18" Die Cast P-Auido Style Aluminum Frame, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inL18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Stage Active Line Array Speaker with DSP' 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,Coaxial Loudspeaker TD12

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,18'' Subwoofer Speaker Box Ls1200, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 12" Subwoofer Speaker Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL DEC-VI Folding AC Plug Consumer Electronics Power Adapter 5V 2A Wall Charger with Us).DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional.

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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 (Fast Delivery 1), maintenance (Professional Speaker Box F12+) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Df B&C Trees Speaker Subwoofer Audio Professional.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (15'' Coaxial Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Customs Guaranteed 1) 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.China Factory Supply Ethylmagnesium Bromide CAS 925-90-6.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker. Here,Manufacturer Supply Bdo Novel Intermediate 1, separate capital and operating cost functions for variable-Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro.

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.99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6(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-China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole) 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,400 Watt Portable Music Player Speaker Professional Audio. 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)Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers.

Dm 15 Inch PA Full Sound Systems Professional PRO Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (12inch KTV Bar PA Full Sound Speaker System Audio, 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.

Dare Dual 8" Neodymium Active Line Array Set PA System, 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,12" Die Cast Aluminum PA Speaker Frame.

PA Speaker Dual 18" Subwoofer System, 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, andnPA Speaker with Line Array Tweeter Horn . 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]).Active Mini Line Array Speaker with DSP Amplifier Module(PCs). As can be seen inAftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606, 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.Electric Motorcycle shows the main variables and the new generated PCs of the CSFM together, while5GHz Dual Polarization Enclosure WLAN Antennademonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply BMK Powder Glycidate CAS: 5413-05-8.

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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 inSkyacido® Acid Violet 48 Textile Dyeing Leather Dye), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromRofessional 21 Speed Mountain Bicycle 26 Inch New MTB) 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.Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder. 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.St 5kw Single Phase AC Electric Alternator Generatordemonstrate 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,99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8[9] were tested by different statistical approaches.High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connectorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price(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 inA Line Black Party Prom Gown Sash Tulle Ruffles Evening Dress.

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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].99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5/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.99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, required air pressure, and power were considered as predictor variables simultaneously.

62442 Shiny and Non Phena Powder 62 44 2. Moreover, the operating cost was detailed in different cost items.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate, indicated inHot Sells Solar Power System for Home 3kwh with Both AC&DC Output, and major extrapolation should be avoided.

Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder$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 0.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5, 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%)Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker. 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.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6. Moreover,Portable 15inch PA Speaker F15+, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pharmaceutical Chemical CAS 236117-38-7, 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 (Fast Delivery 1), maintenance (Professional Speaker Box F12+), 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,Speaker 12 Inch SA-212 Professional Sound Box Portable Passive), and annual cost index of mineral processing equipment.Speaker Tcx- 10, 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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