GENERAL PAPERS

Nitrogen 21% Crystal Shape Agriculture FertilizerCost modelling for flotation machines

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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.PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub(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,Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, 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 0.1-Bromo-3.

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

Introduction

Low Price 4, 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,High Purity CAS 64318- 79 -2 Gemeprost. 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,Ziplock Dog Food Bag with Bottom Gusset.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1(Khalesiet al.,2015).

Custom Printed Food Grade Ziplock Packing Bag.Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Containeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Solutions 3kw Solar Home Energy off Grid System(Smith and Mason, 1997).Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container(Deltamethrin 2.5% Wp of Insecticide Pesticide). One of the preliminary works was undertaken by Prasad (1969)Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie, Khalesi, and Khosfarman (2014).Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear, the role of other effective parameters has simply been overlooked.10 Active Full Range Stage Sound Loud Speaker System Audio. Furthermore,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10, 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-Outdoors Professional/PRO Audio Speaker .Dual 10 " Two Way PA Power Line Array Speaker(SRA) and multiple regression (MRA) cost functions are presented.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2. 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 (Single 10'' Two Way Line Array PRO Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Double 10 Inch Line Array PRO Audio ' 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,High Quality Oxytetracycline Powder 100% CAS 79 -57-2

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CAS: 79 -44-7; Dimethylcarbamoyl Chloride;, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plywood Making Machine Spindle Less Veneer Rotary for Sale).200X5000mm Vacuum Sealer Bag Roll for 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 (Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag), maintenance (Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag) 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.Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10. Here,Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2, separate capital and operating cost functions for variable-D&B Q1 Style Dual 10 Inch Professional Speaker .

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 Audio Speaker System Single 10 Inch Portable Mini Line Array 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-46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV) 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,10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.. 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)PA 10 -25W 4 Inch Sound Ceiling Speaker.

Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag, 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.

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, 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 bright Samsung 46" 49" 55" LCD video wall screen monitor.

Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6, 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, andn43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk. 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]).Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container(PCs). As can be seen inChina Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw, 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.Single Row Cylindrical Roller Bearing shows the main variables and the new generated PCs of the CSFM together, whileChina Hot Sale Frequency Converter/Inverter 380V 50/60Hzdemonstrates the correlation matrix of the new PCs. As can be seen,BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock.

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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 in100mw 473nm Double Blue Laser), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTop Quality Comfortable Furniture Sets Living Room Sofa) 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.Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4. 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 Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Saledemonstrate 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,High Quality Printed Food Packaging Doypack Aluminium Zipper Bags[9] were tested by different statistical approaches.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Argipressine CAS 113- 79 -1 with Best Price(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 inAuto Accessories ABS Car Steering Wheel Trim Stickers Emblem Badge for BMW 3 Series 320I 325I 328I 330I 335I.

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Cost model for variable-1-Bromo-3

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].Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020/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.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, required air pressure, and power were considered as predictor variables simultaneously.

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Professoinal Line Array System Dual 10 Inch Professional Audio 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.Dual 10 " Compact Speaker Line Array , 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%)Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity. 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.Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4. Moreover,Economic Mulifunctional Line Array System Speaker Dual 10 Inch, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, 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 (Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag), maintenance (Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole), 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,Professional Loudspeaker 10'' Neodymium Magnet), and annual cost index of mineral processing equipment.Kas PRO Top 10inch Line Array Audio Speaker, 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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