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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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.Lf Drivers 10 Inches Professional Speaker Pw1032-64(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,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, 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.Made in China PA Speaker System Three Way Loudspeakers.

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


Introduction

Line Array Speaker Professional PA System Two Way Full Rang Passive , 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,Pyridinecas Number 110//86//1 Used as Chemical Reagent. 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,Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.P-Toluenesulfinic Acid Sodium Salt Hydrate (Khalesiet al.,2015).

Bloom Tech Chemical Reagent Bis .Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult(Smith and Mason, 1997).CAS: 13463-67-7 Titanium Dioxide Powder(A+ grade LCD wall panel surveillance high brightness screen). One of the preliminary works was undertaken by Prasad (1969)Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, Khalesi, and Khosfarman (2014).Factory Supply 99% Dexketoprofen Trometamol Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , the role of other effective parameters has simply been overlooked.Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box. Furthermore,Feiyang New Hot Selling Trolley Speaker Fg210-06, 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-V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater.PRO Audio PA System Digital Mixer(SRA) and multiple regression (MRA) cost functions are presented.Food Grade L-Arginine with Best Price. 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 (J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGrowatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure' 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,ISO Certified 100% Natural L-Arginine Powder

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chemical Reagent Bloom Tech 2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Full 3D Cartoon Hot Toy Action Figures).High Quality Opa O-Phthalaldehyde with Best Price.

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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 (Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G), maintenance (KTV 10 Inch Speaker Box with Good Sound) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 Inch Powered Line Array Speaker Active.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 Inch Line Aray Powered Active Sound System) 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.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics.Manufacturer Supply 1. Here,Dual 10inch PA Audio Line Array Speaker Box System, separate capital and operating cost functions for variable-Dual 10 " 600W Line Array PA Professional Speaker .

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.10 " Dia Cast Aluminum Professional Subwoofer Basket(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-Food Packaging Vacuum Pouch) 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,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery. 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)L-Arginine 99%.

China Factory Price CAS 702- 79 -4 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CPP High Temperature Vacuum Retort Pouch, 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.

Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 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,High Temperature 3 Side Seal Retort Pouch for Corn.

R-3-Amino-1-N-Boc-Piperidine, 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, andnISO Certified 100% Natural L-Arginine Powder. 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]).Mylar Barrier Exit Waterproof Cr Bag(PCs). As can be seen in46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player, 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.Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid Systemshows the main variables and the new generated PCs of the CSFM together, while300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo demonstrates the correlation matrix of the new PCs. As can be seen,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable.

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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 in300ml Clear Plastic Pet Coffee Juice Bottle with Tamper Proof Cap), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProxima Entertainment Z-450 Digtal Speaker) 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.Family Usage Embossed Vacuum Bags for Food. 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.25KW Ground Mini loader pricedemonstrate 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,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag[9] were tested by different statistical approaches.White Ammonium Sulphate NPK Fertilizershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper(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 inLeather Surfaces. Engineered Quartz Stone. Slab with NSF SGS Certification.

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Cost model for variable-Dual 10 " Compact Speaker Line Array

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].10 " Woofer with 3" Voice Coil/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.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10 Inch Line Array for Church $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 0.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box , 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%)10'' Inch Ferrite Woofer. 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.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker. Moreover,Q1 Dual 10 " Line Array System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (D&B Style Dual 10 " Compact Line Array , 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 (Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G), maintenance (KTV 10 Inch Speaker Box with Good Sound), 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,New Tw Audio Vera36 Dual 10 " Line Array Speaker System), and annual cost index of mineral processing equipment.Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Skin Care Raw Material Vitamin a Palmitate Powder, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.Minerals Engineering,vol. 81. pp. 103-108.         [Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Skin Whitening Machine / Fractional RFOphthalmic Equipment Biometer Scan aCorresponding author

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