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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.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker(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,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, 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.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4.

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

Introduction

High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, 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,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box. 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,Pharmaceutical Intermediate 1.2-Phenylbenzimidazole|716- 79 -0 99% High Purity(Khalesiet al.,2015).

Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3.High Quality 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Topiramate(Smith and Mason, 1997).China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3(Best Price Creatinol-O-Phosphate ). One of the preliminary works was undertaken by Prasad (1969)New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale, Khalesi, and Khosfarman (2014).Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper, the role of other effective parameters has simply been overlooked.Sell Well Opa. Furthermore,Best Price O-Phthalaldehyde, 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-Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide(SRA) and multiple regression (MRA) cost functions are presented.Qsn Professional Audio Dual 10 "Power Speaker Xt10. 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 (Hot Selling Powder Thiabendazole CAS 148- 79 -8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3kw Air-Cooled UHF Digital TV Transmitter DTV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Coffee /Candy/Weed Plastic 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,Two-Way Passive 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,High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable doctor instrument absorbent baby diaper).Foil Liquid Packaging Stand up Spout Pouch Food Bag.

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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 (Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant), maintenance (Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mylar Child Resistant Waterproof Plastic Bag with Zipper.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper) 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.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock. Here,Custom Aluminum Foil Laminated Bag with Zipper, separate capital and operating cost functions for variable-High Purity O-Phthalaldehyde.

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.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active 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-Quality Assurance O-Phthalaldehyde) 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,High Power Speaker Dual 10 " PRO/Professional Audio Line Array . 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)10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array.

Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease, 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.

Hrk Provide Topiramate Powder Price CAS 97240- 79 -4, 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,Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array .

China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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, andnDual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt. 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]).China Hot Sale Professional Speaker Dual 10 Inch Line Array(PCs). As can be seen inOutdoor Show Audio Lt12 Passive Line Array Speaker System, 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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Top Quality CAS 643- 79 -8 O-Phthalaldehyde,High Quality Chemical Product 4- (CSFM) is presented here as an example.Farm Equipment 800kg Small Loader Payloader for Saleillustrates 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.Dual 6" Coaxial Full Range Speaker for Entertainment Roomshows the main variables and the new generated PCs of the CSFM together, whileGrade AA Veneer Furniture Building Material Plywood to Dubaidemonstrates the correlation matrix of the new PCs. As can be seen,Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System.

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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 inAdjustable Pet Dog Puppy Cat Tie Collar Accessories Grooming), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromin Line Direct Injection Diesel Engine Used for Generator Set) 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.Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder. 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.99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sampledemonstrate 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,Dual 10inch Powerful Line Array Speaker Ds210[9] were tested by different statistical approaches.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality(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 inFactory OEM Private Label 8ml Nail Gel Polish Manicure.

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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].Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W/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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, required air pressure, and power were considered as predictor variables simultaneously.

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10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer$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.Aicrowe L- , 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%)Diase PRO Audio Dual 10inch Professional Line Array 700W. 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.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance. Moreover,Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade Vitamin a Palmitate Powder CAS 79 -81-2, 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 (Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant), maintenance (Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca), 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,Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate), and annual cost index of mineral processing equipment.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, 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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