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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

Industrial Mining All Welded Anti Explosion Pressure TransmitterCost 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.New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260(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 Isopropyl Alcohol , 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.PA Speaker Parts of T24 12 Inch .

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


Introduction

PA Speaker with Horn Parts 210L*62W*105h 1"X2 , 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,PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array. 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol.Food Grade L Selenomethionine Powder/L-Selenomethionine(Khalesiet al.,2015).

120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SAet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g 18.5kw Cabin Yineng Mini Wheel Loader(Smith and Mason, 1997).Single 15 Inch PA Full Sound Systems Professional PRO Speaker(5GHz 20dBi Enclosure WLAN Antenna). One of the preliminary works was undertaken by Prasad (1969)Cheap Price PA Speaker of Line Array Rigging 8 Inch , Khalesi, and Khosfarman (2014).Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA Speaker Horn for Stage 180L*180W*106h 1" , the role of other effective parameters has simply been overlooked.6inch Bar PA Full Sound Speaker System Audio Muslims. Furthermore,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, 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-99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8.Aluminium Back Plate for PA Speaker (SRA) and multiple regression (MRA) cost functions are presented.Full Range Portable Multi-Fuction Speaker Box . 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 (Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Lidocaine Hydrochloride CAS 73-78-9 HCl' 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,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Music PA Speaker Double 12 Inch Full Range(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CCD Wheel Alignment with CE).PA Column Speaker Empty Alu. Cabinet 4.5" .

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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 (PRO Audio Speaker 12 Inch Sub PA Passive Speakers), maintenance (PA Speaker Steel Back Plate ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array with Aluminum Rigging Parts for PA Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Outdoor Big Power Karaoke Trolley Loud PA Speaker) 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.20dB Gain DJ Mixing Console with MP3 Input .PA System LED Light Trolley Tws Woofer Speaker Party Audio. Here,Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System, separate capital and operating cost functions for variable-50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.

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.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers(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-K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets ) 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,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage. 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)Proxima Entertainment S-320 Speaker.

Karaoke Voice Reduction Professional Audio Converter Proaudio , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sp215 Sound Prince Style Speaker Acoustic, 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.

China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, 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,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker .

Best Sale Bulk Price1, 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, andnPassive Full Range 2-Way Speaker Line Array for Outdoor. 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]).Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse(PCs). As can be seen inPlastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , 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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Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box,Levamisole Hydrochloride CAS 16595-80-5 in Stock(CSFM) is presented here as an example.5f-Pcn CAS No. 1445579- 79 -2 in Stockillustrates 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.4 Stringed Wrapped Electric Bass Guitar Stringsshows the main variables and the new generated PCs of the CSFM together, whileCompact Mini Farm Loader 800kg Wheel for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4.

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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 inDesigned for 2021 20'' 24'' 28'' 3PCS High Quality Hard Shell Trolley Travel Luggage), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromColor Custom Direct Injection Diesel Engine Used for Generator Set) 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 0.2.4GHz Wireless Ceiling Speaker PA System. 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.Cosmetic Grade L-Arginine with High Qualitydemonstrate 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,OEM ODM Public DJ PA Wooden Speaker[9] were tested by different statistical approaches.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 12" Line Array Speaker(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 inUL94V-0 High Standard Customized USB Af Socket PCB Connector Plug.

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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].PA Speaker with Single-Point Angles Regulator /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.12 Inch Stage Subwoofer Home Theater/DJ Sub PRO 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 Isopropyl Alcohol , required air pressure, and power were considered as predictor variables simultaneously.

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CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%$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.High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price, 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%)Pharmaceutical Intermediate Bulk Price N- . 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.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply. Moreover,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, 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 (PRO Audio Speaker 12 Inch Sub PA Passive Speakers), maintenance (PA Speaker Steel Back Plate ), 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 System High Power H3), and annual cost index of mineral processing equipment.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4. Maximum MAER of 13.5% and minimum R2of 0.500W Powered Speaker Professional Sound Line Array System -feasibility and even feasibility study level of projects.

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USBM. 1987.18" Die Cast P-Auido Style Aluminum Frame,Professional Stage Active Line Array Speaker with DSP-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Chinese Custom Gold Plated Promotinal Gift UK Badge Lapel Pin]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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