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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

5GHz 30dBi Mimo Dish AntennasCost modelling for flotation machines

S. Arfania; A.R.Cheap Price Speaker Wall Mount Bracket Professional Speaker System Single 15 Inch High Power Line Array Aw15; 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.Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8(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,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8, 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.Manufacturers Supply .

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


Introduction

High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride, 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,High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9. 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,Steel Wall Bracket for Speaker with Quick Release Pin .Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8(Khalesiet al.,2015).

CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sampleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap(Smith and Mason, 1997).Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8(Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding). One of the preliminary works was undertaken by Prasad (1969)Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8, Khalesi, and Khosfarman (2014).Tetracaine HCl CAS136-47-0; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion, the role of other effective parameters has simply been overlooked.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. Furthermore,Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0, 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-Melamine Molding Powder for Making Tableware Dishware China.Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20(SRA) and multiple regression (MRA) cost functions are presented.8X4" Active Column PA Speaker. 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 (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Speaker with Hanging Hardware Parts Horizontal ' 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,Double 12" 3-Way Line Array PA Speaker

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PA Speaker Parts&Accessories Back Plate Speakon Nl4 (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Building Top Quality Material White Wooden Vein Marble Slabs for Wall Tile and Flooring).Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da.

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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 (15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker), maintenance (Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CAS No.: 67-63-0 Isopropyl Alcohol ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA Speaker Parts of T24 12 Inch ) 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.PA Speaker with Horn Parts 210L*62W*105h 1"X2 .PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array. Here,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, separate capital and operating cost functions for variable-Food Grade L Selenomethionine Powder/L-Selenomethionine.

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.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(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-Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA) 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,Single 15 Inch PA Full Sound Systems Professional PRO Speaker. 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)Cheap Price PA Speaker of Line Array Rigging 8 Inch .

Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Speaker Horn for Stage 180L*180W*106h 1" , 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.

6inch Bar PA Full Sound Speaker System Audio Muslims, 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,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8.

99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8, 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, andnAluminium Back Plate for PA 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]).Full Range Portable Multi-Fuction Speaker Box (PCs). As can be seen inWiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver, 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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Lidocaine Hydrochloride CAS 73-78-9 HCl,PA Speaker Parts (CSFM) is presented here as an example.Professional Sound System 10'' PRO Neodymium Line Array PA Audio System.illustrates 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.Safe Shipping with Good Price Tretinoin Powdershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Pricedemonstrates the correlation matrix of the new PCs. As can be seen,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.

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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 inFashion 20"22" 24" 28" Hardside ABS PC Travel Trolley Luggage), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromScarlet/ Violet / Purple/ Golden/Green Color Paste) 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.Line Array PA Speaker System Stage 12inch Monitor PRO Audio. 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.Urea Fertilizer/ Ammonium Sulfate with Steel Gradedemonstrate 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,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker[9] were tested by different statistical approaches.Industrial Mining All Welded Anti Explosion Pressure Transmittershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731(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 inPerfume for Men.

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Cost model for variable-Music PA Speaker Double 12 Inch Full Range

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].PA Column Speaker Empty Alu. Cabinet 4.5" /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.PRO Audio Speaker 12 Inch Sub PA Passive Speakers; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8, required air pressure, and power were considered as predictor variables simultaneously.

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Line Array with Aluminum Rigging Parts for PA Speaker $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.Outdoor Big Power Karaoke Trolley Loud PA Speaker, 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%)20dB Gain DJ Mixing Console with MP3 Input . 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.PA System LED Light Trolley Tws Woofer Speaker Party Audio. Moreover,Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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 (15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker), maintenance (Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6), 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,High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers), and annual cost index of mineral processing equipment.K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage. Maximum MAER of 13.5% and minimum R2of 0.Proxima Entertainment S-320 Speaker-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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