GENERAL PAPERS

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S. Arfania; A.R.High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker; 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.Manufacturer Supply 1(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,Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, 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 0.99% Glycolic Acid Powder CAS 79 -14-1.

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

Introduction

5f-Pcn CAS No. 1445579- 79 -2 in Stock, 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,Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde. 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,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate .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(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFood Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food 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,PRO Audio Speaker Dual 10 " Line Array

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10 " PRO Audio Line Array Speaker System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PRO Audio 10'' Ferrite Woofer Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce SMD1210).Multi-Function 10 " Passive Full Range DJ Stage Speaker System.

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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 (Custom Printing Food Packaging Plastic Bags with Resealable Zipper), maintenance (10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container) 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.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.Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk. Here,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, separate capital and operating cost functions for variable-Custom Cat Food Bags.

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.Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer(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-Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant) 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 Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin. 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 CAS 302- 79 -4.

Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price, 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.

High Quality 99% L-Pyroglutamic Acid , 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,Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price.

Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7, 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, andnSupply High Quality L-Lactic Acid with CAS 79 -33-4. 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]).Lanosterol 79 -63-0 (PCs). As can be seen inSpeaker System High Power H3, 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.2507 Uns S32750 Duplex Stainless Steel Sheet / Plateshows the main variables and the new generated PCs of the CSFM together, whileYangtze 100kw Grid Tied Portable Solar System Camping Componentdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Dual 10 " Speaker PRO Audio .

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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 inCouleur Blanche Savon Antiseptique Santex Pour Une Peau Douce Et Saine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1L Printed Round Metal Paint Tin Can with Lid) 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.Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%. 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.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latasdemonstrate 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,China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0[9] were tested by different statistical approaches.99% Purity 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.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(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 inProtective Face Mask KN95 with Valve.

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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].High Purity and Good Price Glycolic Acid /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.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; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, required air pressure, and power were considered as predictor variables simultaneously.

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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.Food Saver High Transparent Vacuum Plastic Bag. Moreover,Cvr 2021 New 10'' Line Array Professional, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10'' Red Steel Woofer, 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 (Custom Printing Food Packaging Plastic Bags with Resealable Zipper), maintenance (10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth), 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,Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker), and annual cost index of mineral processing equipment.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic, 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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