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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.Double 12" Line Array Speaker(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,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, 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 with Single-Point Angles Regulator .

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

Introduction

12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio, 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,Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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,Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2.CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Lat210A Srx700 Series PA Sound System Professional Speakers, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCvr 2021 New 10'' Line Array Professional(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Public Address Mini Onwall Line Array 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,Power Amplifiers PA Speaker System Amplifier 1000 Watt

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wholesales Organic Intermediate 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Supply High Quality Ceramic Stoneware Mug).Live/Installed Sound System PRO Speaker Box .

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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 (Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA), maintenance (Professional Speaker with Laser Light ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array 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.100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4.High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price. Here,Free Sample Organic Chemicals 1, separate capital and operating cost functions for variable-High Quality Phena.

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.Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4(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-18" Fane Style Aluminum Speaker Frame) 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,18" Die Cast P-Auido Style Aluminum Frame. 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)Professional Stage Active Line Array Speaker with DSP.

Single 18" Subwoofer Speaker Box, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, 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.

12" Professional Rcf Style 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Horn Professional Speaker H3.

Coaxial Loudspeaker TD12, 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, andn18'' Subwoofer Speaker Box Ls1200. 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]).Dual 12" Subwoofer Speaker Box(PCs). As can be seen inDoypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag, 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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Fast Delivery 1,Professional Speaker Box F12+(CSFM) is presented here as an example.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipaillustrates 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.Diesel Dump Central Steering Drive Three Wheeler From China for Saleshows the main variables and the new generated PCs of the CSFM together, whileFactory Price Agricultrue Fertilizer with Caprolactam Gradedemonstrates the correlation matrix of the new PCs. As can be seen,Df B&C Trees Speaker Subwoofer 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 inElectric Food Warming Display Showcase/ High Efficiency Hot Warmer Showcase), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMountain Using Motorcycle with Strong Steel Tube Frame) 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.Customs Guaranteed 1. 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.Double 6inch Powered Line Array Speakerdemonstrate 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,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6[9] were tested by different statistical approaches.Fat Boy Bean Bag Cover for Sportsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ltk One 12" Woofers and 3" Driver Compact Coaxial 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 inOutdoor Waterproof IP65 Remote Control 16 Waving Patterns Xmas Party Yard Garden Decorations Holiday Christmas Projector Lights.

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Cost model for variable-Manufacturer Supply Bdo Novel Intermediate 1

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].Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro/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% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, required air pressure, and power were considered as predictor variables simultaneously.

China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole. Moreover, the operating cost was detailed in different cost items.400 Watt Portable Music Player Speaker Professional Audio, indicated inHigh Toughness and Tensile Strength Resin 610, and major extrapolation should be avoided.

Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers$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.Dm 15 Inch PA Full Sound Systems Professional PRO 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%)12inch KTV Bar PA Full Sound Speaker System 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.Dare Dual 8" Neodymium Active Line Array Set PA System. Moreover,12" Die Cast Aluminum PA Speaker Frame, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA Speaker Dual 18" Subwoofer System, 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 (Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA), maintenance (Professional Speaker with Laser Light ), 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,PA Speaker with Line Array Tweeter Horn ), and annual cost index of mineral processing equipment.Active Mini Line Array Speaker with DSP Amplifier Module, 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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