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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

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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.Pharmaceutical Intermediate Bulk Price N- (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,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply, 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.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand.

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


Introduction

Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, 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,Speaker System High Power H3. 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4(Khalesiet al.,2015).

500W Powered Speaker Professional Sound Line Array System .Proxima Entertainment Z-450 Digtal Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier(Smith and Mason, 1997).Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500(Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1). One of the preliminary works was undertaken by Prasad (1969)Lat210A Srx700 Series PA Sound System Professional Speakers, Khalesi, and Khosfarman (2014).Professional Public Address Mini Onwall Line Array Speaker ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Q1--Dual10 Inch Line Array Speaker, the role of other effective parameters has simply been overlooked.12inches PA Speaker Audio Component. Furthermore,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, 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-Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA.Power Amplifiers PA Speaker System Amplifier 1000 Watt(SRA) and multiple regression (MRA) cost functions are presented.Wholesales Organic Intermediate 1. 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 (Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Live/Installed Sound System PRO 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,L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Zeta Passenger Car Tires).Free Sample Organic Chemicals 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 (High Quality Phena), maintenance (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,18" Fane Style Aluminum Speaker Frame.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.Coaxial Loudspeaker TD12(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'' Subwoofer Speaker Box Ls1200) 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 12" Subwoofer Speaker Box. 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)DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional.

Fast Delivery 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Speaker Box F12+, 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.

Df B&C Trees Speaker Subwoofer Audio Professional, 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,15'' Coaxial Speaker .

Customs Guaranteed 1, 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, andnChina Factory Supply Ethylmagnesium Bromide CAS 925-90-6. 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]).Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker(PCs). As can be seen inFactory Price Agricultrue Fertilizer with Caprolactam Grade, 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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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.Mountain Using Motorcycle with Strong Steel Tube Frameshows the main variables and the new generated PCs of the CSFM together, whileSoftel 24 Channel Optional RF Fixed Analog Modulatordemonstrates the correlation matrix of the new PCs. As can be seen,China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole.

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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 inPVC Japanese Anime Action Figures Demon Slayer Kimets Agatsuma Zenitsu Cartoon Toy Character), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLat210A Srx700 Series PA Sound System Professional Speakers) 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.Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. 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.High Toughness and Tensile Strength Resin 610demonstrate 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,Dm 15 Inch PA Full Sound Systems Professional PRO Speaker[9] were tested by different statistical approaches.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatoryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.12inch KTV Bar PA Full Sound Speaker System Audio(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 inSmun S-150-15 150W 15V 10A Single Output Switching Power.

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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].12" Die Cast Aluminum PA Speaker Frame/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 Dual 18" Subwoofer System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply, 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.Factory Supply BMK Powder Glycidate CAS: 5413-05-8. Moreover,China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder, 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 (High Quality Phena), maintenance (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4), 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,99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8), and annual cost index of mineral processing equipment.High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5. Maximum MAER of 13.5% and minimum R2of 0.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetateoff Grid 20kw Solar System 20 Kw Panel KitCorresponding author

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