GENERAL PAPERS

Fractional RF & Thermal Beauty MachineCost modelling for flotation machines

S. Arfania; A.R.Dual 10 " Hot Sales Q1 Line Array SpeakerMimo Antenna 13dBi CPE; M.R. Khalesi

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.Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container(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,Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, 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.China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask.

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

Introduction

Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, 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,100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food 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,Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof.Professional Stage Line Array System Dual 10'' Speaker(Khalesiet al.,2015).

Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed.Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Price Nice Mini Seal Viton/FKM X Rings(Smith and Mason, 1997).PRO Audio Speaker Dual 10 " Line Array(Customization Available Modern Popular Home Furniture Set Living Room Leather Sofa). One of the preliminary works was undertaken by Prasad (1969)10 " PRO Audio Line Array Speaker System, Khalesi, and Khosfarman (2014).PRO Audio 10'' Ferrite Woofer Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Multi-Function 10 " Passive Full Range DJ Stage Speaker System, the role of other effective parameters has simply been overlooked.Custom Printing Food Packaging Plastic Bags with Resealable Zipper. Furthermore,10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth, 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-Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System..100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil(SRA) and multiple regression (MRA) cost functions are presented.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container. 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 (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, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDuroheater Dh- 25kw Handheld Induction Heating Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk' 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,Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale L8ml Soak off UV Gel Nail Polish).China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive 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 (High Quality 99% L-Pyroglutamic Acid ), maintenance (Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Supply High Quality L-Lactic Acid with CAS 79 -33-4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lanosterol 79 -63-0 ) 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.Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price. Here,High Purity Retinol Palmitate Powder, separate capital and operating cost functions for variable-Hot Sale Dual 10 " Speaker PRO Audio .

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.GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price(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-Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%) 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,China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0. 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)Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch.

Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Purity and Good Price Glycolic Acid , 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.

Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch, 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,OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag.

10 Inch Powered PA Speaker Full Range Stereo System, 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, andnWholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container. 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]).Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag(PCs). As can be seen in60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics, 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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Food Saver High Transparent Vacuum Plastic Bag,Cvr 2021 New 10'' Line Array Professional(CSFM) is presented here as an example.Aluminum Foil Plastic Papacking Vacuum Puffed Food Bagillustrates 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.Home Use 6kw Grid Tied Solar Power System with High Performanceshows the main variables and the new generated PCs of the CSFM together, whilePA Speaker with Line Array Tweeter Horn demonstrates the correlation matrix of the new PCs. As can be seen,10'' Red Steel Woofer.

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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 inCe Certificate 15 Ton Double Speed Electric Chain Hoist with Hook), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from7.5HP Frequency Converter Vector) 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.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic. 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.Modern Antique Reproduction French Metal Sofademonstrate 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,Waterproof Outdoor Dual 10 " Line Array[9] were tested by different statistical approaches.Electric Scooter/ Motorcycle/TM-Monyashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food 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 inDisposable Breathable Adult Diaper for Hospital/Older Use.

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Cost model for variable-Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container

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].PRO Audio Powered Line Array Tw- 10 Outdoor Speaker/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.Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, required air pressure, and power were considered as predictor variables simultaneously.

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Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub$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.Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee, 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%)Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate. 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.Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310. Moreover,Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Outdoor Speaker Dual 10 Inch 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 (High Quality 99% L-Pyroglutamic Acid ), maintenance (Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price), 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,49" VGA high performance monitor LCD video wall panel with extention cable), and annual cost index of mineral processing equipment.LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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