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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.L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W(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,Prfessional Audio 10''karaoke Loudspeaker, 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 0.10 Inch KTV System Woofer.

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


Introduction

Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, 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,Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container. 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,10 Inch Compact Line Array PRO Audio.10 Inch Indoor Outdoor Professional Loudspeaker(Khalesiet al.,2015).

99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnetet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Stage Line Array System Dual 10'' Speaker(Smith and Mason, 1997).50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub(Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components). One of the preliminary works was undertaken by Prasad (1969)50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging, Khalesi, and Khosfarman (2014).Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives, the role of other effective parameters has simply been overlooked.Thiosemicarbazide CAS 79 -19-6. Furthermore,O-Phthalaldehyde CAS 643- 79 -8, 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-High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price.PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub(SRA) and multiple regression (MRA) cost functions are presented.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers. 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 (1-Bromo-3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPneumtic Forklift Tyre/Industrial Tyre/NHS Tyre (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Low Price 4' 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,Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Lower Price Adult Pants Diaper for Elderly Old People).Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag.

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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 (China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear), maintenance (10 Active Full Range Stage Sound Loud Speaker System Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Outdoors Professional/PRO Audio Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 " Two Way PA Power Line Array Speaker) 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 Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.Single 10'' Two Way Line Array PRO Audio. Here,Double 10 Inch Line Array PRO Audio , separate capital and operating cost functions for variable-Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD.

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.Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution(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-Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory) 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,Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut. 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)High Quality Oxytetracycline Powder 100% CAS 79 -57-2.

CAS: 79 -44-7; Dimethylcarbamoyl Chloride;, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout 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.

200X5000mm Vacuum Sealer Bag Roll for Food Packaging, 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,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag.

Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole, 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, andnPet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags. 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]).Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron(PCs). As can be seen inCoconut Shell Carbon Charcoal Making Machines Production Line, 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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Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2,Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10(CSFM) is presented here as an example.969 Solar 30kw 40kw on Grid Tie Power System for Factory Roofillustrates 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.Nitrogen 21% Crystal Shape Agriculture Fertilizershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Footbath Sofa / Foot Massagedemonstrates the correlation matrix of the new PCs. As can be seen,Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2.

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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 inSublimation Women Custom Sport Fanny Packprinted Pattern Belt Bag High Quality Multi-Functional Backpack Customized Promotional Waist), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromIntel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC) 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.Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10. 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.Excellent Gel Resistance Ability Polyamide Resindemonstrate 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,46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV[9] were tested by different statistical approaches.20MHz RF Beauty Machine Skin Tighteningshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.(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 inElegant 925 Sterling Silver Deer Brooch.

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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].Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag/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.Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Prfessional Audio 10''karaoke Loudspeaker, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6$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 0.43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk, 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%)Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container. 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.10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show . Moreover,Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bloom Tech Chemical Reagent , 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 (China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear), maintenance (10 Active Full Range Stage Sound Loud Speaker System Audio), 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,BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock), and annual cost index of mineral processing equipment.Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4. Maximum MAER of 13.5% and minimum R2of 0.High Quality Printed Food Packaging Doypack Aluminium Zipper Bags-feasibility and even feasibility study level of projects.

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USBM. 1987.Professional Line Array Speaker Single 10 Inch Full Range System,Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Modern House PVC Lvt Spc Flooring Click Interlocking Waterproof Commercial Plastic Wood Vinyl Floor Tile China Manufacturer]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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