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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

Modern Home Living Room Furniture 2-Seat Leisure Sofa for WalmartCost modelling for flotation machines

S. Arfania; A.R.12inches PA Speaker Audio ComponentMountain Using Motorcycle with Strong Steel Tube Frame; 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.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(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,Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, 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.Power Amplifiers PA Speaker System Amplifier 1000 Watt.

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


Introduction

Wholesales Organic Intermediate 1, 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,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell. 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,Live/Installed Sound System PRO Speaker Box .Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA(Khalesiet al.,2015).

Professional Speaker with Laser Light .XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi(Smith and Mason, 1997).Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights(Softel 24 Channel Optional RF Fixed Analog Modulator). One of the preliminary works was undertaken by Prasad (1969)L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker, Khalesi, and Khosfarman (2014).100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price, the role of other effective parameters has simply been overlooked.Free Sample Organic Chemicals 1. Furthermore,High Quality Phena, 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-Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4.18" Fane Style Aluminum Speaker Frame(SRA) and multiple regression (MRA) cost functions are presented.18" Die Cast P-Auido Style Aluminum 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 (Professional Stage Active Line Array Speaker with DSP, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDouble 6inch Powered Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 18" Subwoofer Speaker Box' 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,18'' Subwoofer Speaker Box Ls1200

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 12" Subwoofer Speaker Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Selling High Quality Alumium Frame 10X10 Feet Advertising Custom Tent).Fast Delivery 1.

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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 (Professional Speaker Box F12+), maintenance (Df B&C Trees Speaker Subwoofer Audio Professional) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,15'' Coaxial Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Customs Guaranteed 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Factory Supply Ethylmagnesium Bromide CAS 925-90-6) 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.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker.Manufacturer Supply Bdo Novel Intermediate 1. Here,Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro, separate capital and operating cost functions for variable-99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6.

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.China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole(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-400 Watt Portable Music Player Speaker Professional Audio) 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,Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. 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)Dm 15 Inch PA Full Sound Systems Professional PRO Speaker.

12inch KTV Bar PA Full Sound Speaker System Audio, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dare Dual 8" Neodymium Active Line Array Set PA System, 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.

12" Die Cast Aluminum PA Speaker Frame, 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,PA Speaker Dual 18" Subwoofer System.

PA Speaker with Line Array Tweeter Horn , 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, andnActive Mini Line Array Speaker with DSP Amplifier Module. 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]).Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder(PCs). As can be seen inLat210A Srx700 Series PA Sound System Professional Speakers, 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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99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0,Factory Supply BMK Powder Glycidate CAS: 5413-05-8(CSFM) is presented here as an example.High Toughness and Tensile Strength Resin 610illustrates 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.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatoryshows the main variables and the new generated PCs of the CSFM together, while50 to 60 Hz Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone.

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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 inUnique Design Custom Made Cheap Metal Zinc Alloy Recessed Enamel Motorcycle Keychain for Promotion), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPE Dog Food Pouch with Hole) 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 0.99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8. 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.Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Androiddemonstrate 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 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price[9] were tested by different statistical approaches.2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5(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 in5W LED Bulb/Global Bulb.

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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% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs/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.62442 Shiny and Non Phena Powder 62 44 2; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, required air pressure, and power were considered as predictor variables simultaneously.

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100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5$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.Trolley Large Audio Loudspeaker Box Professional Stage Active 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%)BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6. 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.Portable 15inch PA Speaker F15+. Moreover,Pharmaceutical Chemical CAS 236117-38-7, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Speaker 12 Inch SA-212 Professional Sound Box Portable Passive, 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 (Professional Speaker Box F12+), maintenance (Df B&C Trees Speaker Subwoofer Audio Professional), 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 Tcx- 10), and annual cost index of mineral processing equipment.PA Woofer Speaker T- 10 12 15, 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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