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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.Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch(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,Line Array 10'' Neodymiun PRO Audio Woofer, 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.Diesel Engine Parts Fuel Injection Nozzle 160sn529.

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

Introduction

CAS: 702- 79 -4; 1, 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,Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine. 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,Professional Audio Speaker Dual 10 Inch 3 Way Line Array System.Loudspeaker 10'' Midrange & Bass(Khalesiet al.,2015).

Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10.Dual 10 " Hot Sales Q1 Line Array Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Jiaxing Jarol Frequency Inverter 0.75kw/220V New(Smith and Mason, 1997).Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container(Speaker System High Power H3). One of the preliminary works was undertaken by Prasad (1969)Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, Khalesi, and Khosfarman (2014).China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, the role of other effective parameters has simply been overlooked.100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container. Furthermore,Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof, 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-Professional Stage Line Array System Dual 10'' Speaker.Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed(SRA) and multiple regression (MRA) cost functions are presented.Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container 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 (PRO Audio Speaker Dual 10 " Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHo-100 Ophthalmic Ultrasound a Scan Pachymeter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 " PRO Audio Line Array Speaker System' 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,Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheap Outdoor Waterproof IP65 Interactive Stand Alone Touch Screen Kiosk Digital Signage).Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging.

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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 (Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk), maintenance (Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Custom Cat Food Bags.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant) 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.Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin.Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4. Here,Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, separate capital and operating cost functions for variable-China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price.

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.High Quality 99% L-Pyroglutamic Acid (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-Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price) 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,Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7. 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)Supply High Quality L-Lactic Acid with CAS 79 -33-4.

Lanosterol 79 -63-0 , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,High Purity Retinol Palmitate Powder.

Hot Sale Dual 10 " Speaker PRO Audio , 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).

whereC_eis the estimated cost,C_athe actual cost, andnGMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price. 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]).Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%(PCs). As can be seen in2507 Uns S32750 Duplex Stainless Steel Sheet / Plate, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.High Quality Opa O-Phthalaldehyde with Best Priceshows the main variables and the new generated PCs of the CSFM together, while1L Printed Round Metal Paint Tin Can with Liddemonstrates the correlation matrix of the new PCs. As can be seen,High Purity and Good Price Glycolic Acid .

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inWidely Used Concrete Block Making Machine/Automatic Machine for Sale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from99% Purity 1) 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.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag. 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.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210demonstrate 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,10 Inch Powered PA Speaker Full Range Stereo System[9] were tested by different statistical approaches.7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Encshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container(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 inChina Hot Sale 1530 CNC Wood Router/ Woodworking Cutting Engraving Machine.

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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].3X3 video wall LCD HD 1080P digital display screen/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.Food Saver High Transparent Vacuum Plastic Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Line Array 10'' Neodymiun PRO Audio Woofer, required air pressure, and power were considered as predictor variables simultaneously.

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Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker$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.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic, 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%)Waterproof Outdoor Dual 10 " Line Array. 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.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper. Moreover,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PRO Audio Powered Line Array Tw- 10 Outdoor Speaker, 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 (Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk), maintenance (Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container), 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,Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container), and annual cost index of mineral processing equipment.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder, and over- extrapolation could result in misguiding estimates.

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References

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS]

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Mular, A.L. 1982.wall mount 16: 9 LCD screen video for big project.aluminium video wall LCD HD 1080P flat panel display.LG LD550DUN-TKB1 video wall system with matrix switcher, Montreal. 265 pp.         [Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.10 Inch KTV System Woofer.vol. 1.Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture]

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Prasad, L. 1969.10 Inch Compact Line Array PRO Audio.10 Inch Indoor Outdoor Professional Loudspeaker, Metallurgy and Petroleum, Montreal. pp. 3-15.         [220VDC to 220VAC Variable Frequency Inverter]

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Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, 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.         [Twin Micro-Film Vacuum Cooker]

Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS]

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USBM. 1987.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Aluminum Alloy Body Wooden Door Hardware Hydraulic Patch Fitting]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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