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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.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606(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,2.4GHz Wireless Ceiling Speaker PA System, 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.OEM ODM Public DJ PA Wooden Speaker.

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

Introduction

Double 12" Line Array Speaker, 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,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01. 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,PA Speaker with Single-Point Angles Regulator .12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (500W Powered Speaker Professional Sound Line Array System , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVera 12 Loudspeaker Line Array Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Proxima Entertainment Z-450 Digtal Speaker' 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,12inches PA Speaker Audio Component

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 LED Small Solar Wall Light Photocell Sensor Motion).Power Amplifiers PA Speaker System Amplifier 1000 Watt.

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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 (Wholesales Organic Intermediate 1), maintenance (Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Live/Installed Sound System PRO Speaker Box .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Speaker with Laser Light ) 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.XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights. Here,L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker, separate capital and operating cost functions for variable-100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4.

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 Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price(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-Free Sample Organic Chemicals 1) 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,High Quality Phena. 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)Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4.

18" Fane Style Aluminum Speaker Frame, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (18" Die Cast P-Auido Style Aluminum Frame, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Professional Stage Active Line Array Speaker with DSP, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Single 18" Subwoofer Speaker Box.

Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, 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).

whereC_eis the estimated cost,C_athe actual cost, andn12" Professional Rcf Style Speaker Frame. 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]).Horn Professional Speaker H3(PCs). As can be seen inPE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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18'' Subwoofer Speaker Box Ls1200,Dual 12" Subwoofer Speaker Box(CSFM) is presented here as an example.Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900illustrates 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.28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Saleshows the main variables and the new generated PCs of the CSFM together, while2876 10kw Home Used Solar Power System on Grid Roofdemonstrates the correlation matrix of the new PCs. As can be seen,DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inOEM Adult Diaper Machine Manufacturer Supplier), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity Ethylamine HCl) 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.Professional Speaker Box F12+. 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.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Arraydemonstrate 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,Df B&C Trees Speaker Subwoofer Audio Professional[9] were tested by different statistical approaches.L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headsetshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15'' Coaxial 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 inCheapest Chiva White Marble Polished/Honed Slab for Vanity Top/Wall/Flooring/Stair/Mosaic/Baluster/Sculpture.

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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].China Factory Supply Ethylmagnesium Bromide CAS 925-90-6/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.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2.4GHz Wireless Ceiling Speaker PA System, required air pressure, and power were considered as predictor variables simultaneously.

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99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6$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.China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole, 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%)400 Watt Portable Music Player Speaker Professional Audio. 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.Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. Moreover,Dm 15 Inch PA Full Sound Systems Professional PRO Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12inch KTV Bar PA Full Sound Speaker System Audio, 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 (Wholesales Organic Intermediate 1), maintenance (Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell), 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,Dare Dual 8" Neodymium Active Line Array Set PA System), and annual cost index of mineral processing equipment.12" Die Cast Aluminum PA Speaker Frame, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,PA Speaker Dual 18" Subwoofer System. Maximum MAER of 13.5% and minimum R²of 0.PA Speaker with Line Array Tweeter Horn -feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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