GENERAL PAPERS

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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.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand(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,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, 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.Speaker System High Power H3.

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

Introduction

CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, 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,Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4. 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,500W Powered Speaker Professional Sound Line Array System .Proxima Entertainment Z-450 Digtal Speaker(Khalesiet al.,2015).

Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500.Lat210A Srx700 Series PA Sound System Professional Speakerset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 -50cc Scooter(Smith and Mason, 1997).Professional Public Address Mini Onwall Line Array Speaker (CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa). One of the preliminary works was undertaken by Prasad (1969)Q1--Dual10 Inch Line Array Speaker, Khalesi, and Khosfarman (2014).12inches PA Speaker Audio Component; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, the role of other effective parameters has simply been overlooked.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA. Furthermore,Power Amplifiers PA Speaker System Amplifier 1000 Watt, 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-Wholesales Organic Intermediate 1.Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell(SRA) and multiple regression (MRA) cost functions are presented.Live/Installed Sound System PRO 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 (Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Dump Central Steering Drive Three Wheeler From China for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Speaker with Laser Light ' 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,High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Phena(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Custom Logo Poly Mailers Shipping Envelope Plastic Self Sealing Bag).Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4.

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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 (18" Fane Style Aluminum Speaker Frame), maintenance (18" Die Cast P-Auido Style Aluminum Frame) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Stage Active Line Array Speaker with DSP.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Single 18" Subwoofer Speaker Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse) 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.12" Professional Rcf Style Speaker Frame.Horn Professional Speaker H3. Here,Coaxial Loudspeaker TD12, separate capital and operating cost functions for variable-18'' Subwoofer Speaker Box Ls1200.

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.Dual 12" Subwoofer Speaker Box(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-DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional) 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,Fast Delivery 1. 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 Speaker Box F12+.

Df B&C Trees Speaker Subwoofer Audio Professional, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (15'' Coaxial Speaker , 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.

Customs Guaranteed 1, 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,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6.

Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker, 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, andnManufacturer Supply Bdo Novel Intermediate 1. 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]).Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro(PCs). As can be seen in30% to 50% Carbon Content PP Application Making Plastics Product Film, 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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China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole,400 Watt Portable Music Player Speaker Professional Audio(CSFM) is presented here as an example.Mountain Using Motorcycle with Strong Steel Tube Frameillustrates 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.Softel 24 Channel Optional RF Fixed Analog Modulatorshows the main variables and the new generated PCs of the CSFM together, whileDouble 6inch Powered Line Array Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers.

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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 in5-300tph Professional Horizontal Primary Tertiary Impact Crusher), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLoudspeaker 10'' Midrange & Bass) 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 0.12inch KTV Bar PA Full Sound Speaker System 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.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatorydemonstrate 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,Dare Dual 8" Neodymium Active Line Array Set PA System[9] were tested by different statistical approaches.50 to 60 Hz Frequency Convertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.12" Die Cast Aluminum PA Speaker Frame(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 inDrawing Die Polishing Machine Polycrystalline Wire Dies.

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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 Line Array Tweeter Horn /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.Active Mini Line Array Speaker with DSP Amplifier Module; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, required air pressure, and power were considered as predictor variables simultaneously.

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99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0$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.Factory Supply BMK Powder Glycidate CAS: 5413-05-8, 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%)China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone. 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.Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder. Moreover,99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price, 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 (18" Fane Style Aluminum Speaker Frame), maintenance (18" Die Cast P-Auido Style Aluminum Frame), 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,Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5), and annual cost index of mineral processing equipment.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs. Maximum MAER of 13.5% and minimum R²of 0.62442 Shiny and Non Phena Powder 62 44 2-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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