GENERAL PAPERS

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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.Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid(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,Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality, 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.Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4.

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

Introduction

ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33, 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 Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery. 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,Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality(Khalesiet al.,2015).

Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7.Best Price Bulk Powder Retinyl Palmitate 79 -81-2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag(Smith and Mason, 1997).Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery(Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter). One of the preliminary works was undertaken by Prasad (1969)Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7, Khalesi, and Khosfarman (2014).Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139, the role of other effective parameters has simply been overlooked.Diesel Engine Parts Fuel Injection Nozzle 152sn924. Furthermore,Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266, 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-Diesel Engine Parts Fuel Injection Nozzle Dlla156s820.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone(SRA) and multiple regression (MRA) cost functions are presented.Diesel Engine Parts Fuel Injection Nozzle 150sn902. 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 (Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Adhesion Polyurethane PU Resin for Printing Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls' 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,PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable Nursing Overnight High Absorbency Dry Surface Japan Sap Adult Diaper).Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules.

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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 (Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade), maintenance (2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ce Certification Plastic Water Bottle Use Yellow Masterbatch) 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.Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism.Hot Selling PP PE Masterbatch Yellow. Here,Professional Carbon Black Masterbatch Factory for Rubbish Bag, separate capital and operating cost functions for variable-PE Green Color Masterbatches Supplier in China.

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.Sample Free Calcium Carbonate Filler Masterbatch for Film Injection(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-Good Quality Food Additive Maltose Powder 69- 79 -4) 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 High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate. 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)Good Taste Maltose Sugar Hot Selling Price 69- 79 -4.

Best Price Creatinol-O-Phosphate , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567, 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.

Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507, 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,Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145.

PA12 Transparent Polyamide with Anti-UV Granules, 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, andnPA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules. 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]).Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105(PCs). As can be seen inNootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price, 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.CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipashows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter 60Hz 50Hz 200HPdemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Engine Parts Fuel Injection Nozzle 140s6655.

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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 in55 65 Inch 4K Curve Smart LED TV LCD), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromKing Quenson Customized Label Deltamethrin 2.5 Ec China Supplier) 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 0.904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bar. 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.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader 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,Hot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014[9] were tested by different statistical approaches.1L Cone Top Tin Can with Screw Capshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tube(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 inCustom Monster Inflatable Cartoon for Halloween.

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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].Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304/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.Diesel Engine Parts Fuel Injection Nozzle Dlla150s506; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality, required air pressure, and power were considered as predictor variables simultaneously.

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Alloy Ldx 2101 Uns S32101 Stainless Steel Plate$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.ASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690, 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%)Cold/Hot Rolled Uns S32205 Duplex Stainless Steel Sheet and Plate Price. 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.Uns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire. Moreover,Diesel Engine Parts Fuel Injection Nozzle Dlla140s64f, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Diesel Engine Parts Fuel Injection Nozzle 149s715, 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 (Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade), maintenance (2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation), 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,Auto Feeding Inner Mounted Pipe Tube Beveling Engine), and annual cost index of mineral processing equipment.Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Diesel Engine Parts Fuel Injection Nozzle 150s355A. Maximum MAER of 13.5% and minimum R²of 0.Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045t-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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