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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.Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6(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,43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk, 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.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container.

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


Introduction

10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show , 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,Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly. 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,Bloom Tech Chemical Reagent .BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock(Khalesiet al.,2015).

Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium.Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for A+ grade LCD wall panel surveillance high brightness screen(Smith and Mason, 1997).High Quality Printed Food Packaging Doypack Aluminium Zipper Bags(46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV). One of the preliminary works was undertaken by Prasad (1969)High Quality Argipressine CAS 113- 79 -1 with Best Price, Khalesi, and Khosfarman (2014).1-Bromo-3; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020, the role of other effective parameters has simply been overlooked.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China. Furthermore,55 Inch Stand Alone Digital Free Standing LCD Advertising Display, 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-Top Selling 1.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker(SRA) and multiple regression (MRA) cost functions are presented.Dual 10 " Compact Speaker Line Array . 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 (Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4' 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,Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Party Decoration LED Plastic Flex Neon Strip Wall Ciao Bella Lights Signboard).LG 46" 49" 55" DVI LED video panel for monitoring.

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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 (Retinoic Acid CAS No. 302- 79 -4), maintenance (Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2-Way Speaker PS10 for High Quality Stage Monitor) 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.Professional Line Array Speaker Single 10 Inch Full Range System.Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic. Here,Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808, separate capital and operating cost functions for variable-96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902.

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.Professional Line Array System Single 10 Inch Neodymium Vr10(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-Samsung LTI550HN16 1920X1080P monitor LCD video wall) 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,Maunfacturing Price Sealed Food Packaging Vacuum Bag. 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)Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar.

Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock, 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.

10'' Ferrite Woofer Best Price Loudspeaker, 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,Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display.

Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag, 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, andnVr36 Dual 10 Inch 3 Way Passive Compact Line Array. 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]).Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0(PCs). As can be seen inFree Clearance Surface Anesthesia of Eyes, 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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Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade,Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4(CSFM) is presented here as an example.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3illustrates 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.Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GBshows the main variables and the new generated PCs of the CSFM together, whileIN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometerdemonstrates the correlation matrix of the new PCs. As can be seen,Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten.

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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 inManhole Quickview Inspection Camera X1-H5 CE and FCC Approved), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSanyou 125cc Efi System with Delivery Box Gas Scooter) 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.Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality. 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.Bloom Tech API Ceftriaxone Sodium 104376- 79 -6demonstrate 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,99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery[9] were tested by different statistical approaches.China 250cc New 3 Wheel Motorcycle Motor Tricycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives(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 inHot Selling Stainless Steel 20 Oz Skinny Tumblers Double Wall Insulated Straight Water Cups Wine Tumbler with Lids and Straws.

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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].Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%/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.Peptide Cosmetics CAS 155149- 79 -4 Capixyl; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk, required air pressure, and power were considered as predictor variables simultaneously.

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China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9$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 0.37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display, 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%)49" 450nits LG panel advertising LCD screen . 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.aluminium LCD wall panel surveillance flat display. Moreover,3X3 LCD wall panel surveillance digital display screen, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AV input LCD wall panel 49inch surveillance monitors, 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 (Retinoic Acid CAS No. 302- 79 -4), maintenance (Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags), 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,LG panel 49" advertising rack ), and annual cost index of mineral processing equipment.55inch wall mount LCD panel surveillance LED video, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn. Maximum MAER of 13.5% and minimum R2of 0.55 Inch LCD Video Wall Display with Controller-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Wilson Parts Eim Module Engine Interface 258 -9753 2589755 ControlIN-A7 handheld color doppler linear probe hip bone ultrasound scannerCorresponding author

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