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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

GENERAL PAPERS

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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.High Quality Oxytetracycline Powder 100% CAS 79 -57-2(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,CAS: 79 -44-7; Dimethylcarbamoyl Chloride;, 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.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch.

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


Introduction

200X5000mm Vacuum Sealer Bag Roll for Food Packaging, 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,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag. 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,Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole.Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags(Khalesiet al.,2015).

Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron.Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(Smith and Mason, 1997).Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2(New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale). One of the preliminary works was undertaken by Prasad (1969)Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10, Khalesi, and Khosfarman (2014).Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,D&B Q1 Style Dual 10 Inch Professional Speaker , the role of other effective parameters has simply been overlooked.Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10. Furthermore,46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV, 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-10'' Neodymium Woofer Professional Loudspeaker with Brown Cone..PA 10 -25W 4 Inch Sound Ceiling Speaker(SRA) and multiple regression (MRA) cost functions are presented.Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag. 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 (Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPlaner Using VFD AC Drive Frequency Inverters 3pH 380V 11kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container' 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,10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bloom Tech Chemical Reagent (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qtm6-24 Mobile Brick Making Machine Concrete Design for Sale in Australia Italy).BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock.

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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 (Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium), maintenance (Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Argipressine CAS 113- 79 -1 with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1-Bromo-3) 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.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China. Here,55 Inch Stand Alone Digital Free Standing LCD Advertising Display, separate capital and operating cost functions for variable-Top Selling 1.

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.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker(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 10 " Compact Speaker Line Array ) 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,Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity. 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)Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4.

Economic Mulifunctional Line Array System Speaker Dual 10 Inch, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, 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.

Professional Loudspeaker 10'' Neodymium Magnet, 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,Kas PRO Top 10inch Line Array Audio Speaker.

Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4, 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, andnDexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%. 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]).Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker(PCs). As can be seen inJwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine, 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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Retinoic Acid CAS No. 302- 79 -4,Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags(CSFM) is presented here as an example.Thin-film Sputtering Pressure Transmitter For Medical Equipmentillustrates 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.RF Microneedle Thermal Facial Lift Beauty Equipmentshows the main variables and the new generated PCs of the CSFM together, whileCE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucketdemonstrates the correlation matrix of the new PCs. As can be seen,Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags.

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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 inFactory Supply Small Cement Block Production Line for New Starter), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Selling PP PE Masterbatch Yellow) 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 0.2-Way Speaker PS10 for High Quality Stage Monitor. 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.Mining Cement Stainless Steel 316L Protective Pressure Sensordemonstrate 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,Professional Line Array Speaker Single 10 Inch Full Range System[9] were tested by different statistical approaches.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookieshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic(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 inHome Hospital Low Noise High Purity Portable Oxygen Concentrator.

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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].96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902/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.Professional Line Array System Single 10 Inch Neodymium Vr10; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS: 79 -44-7; Dimethylcarbamoyl Chloride;, required air pressure, and power were considered as predictor variables simultaneously.

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Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar$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.Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut, 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%)Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock. 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'' Ferrite Woofer Best Price Loudspeaker. Moreover,Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag, 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 (Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium), maintenance (Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -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,Vr36 Dual 10 Inch 3 Way Passive Compact Line Array), and annual cost index of mineral processing equipment.Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen. Maximum MAER of 13.5% and minimum R2of 0.Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade-feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5.Minerals Engineering,vol. 81. pp. 103-108.         [Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Hot Cheap Electric Scooter 60V800W20ah for Adult From China]

Lashgari, A.99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery, A.R. 2013.Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline,vol. 23. pp. 441-446.         [Diamond Electrical Copper Cable Wire Drawing Dies]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier]

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Mular, A.L. 1982.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier.100% Copper Wire St-1kw Single Phase Dynamo Factory Price.China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9, Montreal. 265 pp.         [Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader]

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Noakes, M. and Lanz, T. 1993.3X3 LCD wall panel surveillance digital display screen.AV input LCD wall panel 49inch surveillance monitors, Carlton, victoria. 412 pp.         [High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3]

Prasad, L. 1969.55 Inch LCD Video Wall Display with Controller.10inch Speaker for Music Bar PRO Audio Sound System, Metallurgy and Petroleum, Montreal. pp. 3-15.         [2.4- 5GHz MIMO Omni Antenna with 11dBi]

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Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Factory Price Optical Auto Refractometer Auto-Ref Keratometer Fkr 8900 for Wholesale]

Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [AC Fan Frequency Inverter 3pH 7.5kw]

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USBM. 1987.Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel,139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Ce UL Saso Warm White Vintage G95 2W-8W E27 Global LED Filament Bulb Made in China for Decorative Home & Business Indoor Lighting From Best Distributor Factory]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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