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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.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply(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,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, 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.Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl.

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

Introduction

Speaker System High Power H3, 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical. 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,Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4.500W Powered Speaker Professional Sound Line Array System (Khalesiet al.,2015).

Proxima Entertainment Z-450 Digtal Speaker.Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Bulk Fashion Smart Electric Scooter 60V800W20ah(Smith and Mason, 1997).Lat210A Srx700 Series PA Sound System Professional Speakers(28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale). One of the preliminary works was undertaken by Prasad (1969)Professional Public Address Mini Onwall Line Array Speaker , Khalesi, and Khosfarman (2014).Q1--Dual10 Inch Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,12inches PA Speaker Audio Component, the role of other effective parameters has simply been overlooked.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. Furthermore,Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, 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-Power Amplifiers PA Speaker System Amplifier 1000 Watt.Wholesales Organic Intermediate 1(SRA) and multiple regression (MRA) cost functions are presented.Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell. 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 (Live/Installed Sound System PRO Speaker Box , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2876 10kw Home Used Solar Power System on Grid Roof(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA' names:

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►Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Free Sample Organic Chemicals 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Popular Alloy Tool Mould Steel Round /Square/Flat Bars in H13).High Quality Phena.

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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 (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4), maintenance (18" Fane Style Aluminum Speaker Frame) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,18" Die Cast P-Auido Style Aluminum Frame.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.18'' Subwoofer Speaker Box Ls1200(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-Dual 12" Subwoofer Speaker Box) 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,DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional. 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)Fast Delivery 1.

Professional Speaker Box F12+, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Df B&C Trees Speaker Subwoofer Audio Professional, 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.

15'' Coaxial Speaker , 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,Customs Guaranteed 1.

China Factory Supply Ethylmagnesium Bromide CAS 925-90-6, 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, andnLtk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker. 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]).Manufacturer Supply Bdo Novel Intermediate 1(PCs). As can be seen inRGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 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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99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6,China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole(CSFM) is presented here as an example.Jarol Frequency Inverter JAC200 3 Phase 380V 4kwillustrates 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.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileL18 Tws Bluetooth V5.0 Stereo Music Earbuds Headsetdemonstrates the correlation matrix of the new PCs. As can be seen,400 Watt Portable Music Player Speaker Professional Audio.

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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 inCommercial Ceiling Concealed Fcu Exposed Fan Coil Unit), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 29.5dBi Die Cast Grid Antenna) 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.Dm 15 Inch PA Full Sound Systems Professional PRO Speaker. 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.Electric Motorcycle demonstrate 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,12inch KTV Bar PA Full Sound Speaker System Audio[9] were tested by different statistical approaches.5GHz Dual Polarization Enclosure WLAN Antennashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dare Dual 8" Neodymium Active Line Array Set PA System(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 inItalian Design Latest Iron Glass Tube Gold Chandelier Pendant Light Fixture.

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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 Dual 18" Subwoofer System/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.PA Speaker with Line Array Tweeter Horn ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, required air pressure, and power were considered as predictor variables simultaneously.

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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.China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone. Moreover,Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8, 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 (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4), maintenance (18" Fane Style Aluminum Speaker 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,High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price), and annual cost index of mineral processing equipment.Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5. Maximum MAER of 13.5% and minimum R²of 0.99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs-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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