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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.Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator(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,24kVA St Series Single Phase Generator , 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 0.20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator.

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

Introduction

20kVA St Series Single Phase Generator , 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,PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden 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,7.5kVA St Series Single Phase Generator .Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio(Khalesiet al.,2015).

2 Way Passive 10 " Professional PRO Audio PA Line Array.Stc Series Three Phase Dynamo Generator et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for General Type Input 3 pH 380V Frequency Converter Variable AC Drive(Smith and Mason, 1997).China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder(Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player). One of the preliminary works was undertaken by Prasad (1969)Stc Series Three Phase Dynamo Generator , Khalesi, and Khosfarman (2014).CAS: 74- 79 -3 Amino Acid L-Arginine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic, the role of other effective parameters has simply been overlooked.St-10kw/kVA Single Phase Brush Type Electric Generator. Furthermore,Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, 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-Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price(SRA) and multiple regression (MRA) cost functions are presented.100% Copper Wire St-5kw Single Phase Brush Generator. 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 (Home Theater Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 6" Coaxial Full Range Speaker for Entertainment Room' 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,St 5kw Single Phase AC Electric Alternator Generator

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),258 -9754 Electric Engine Interface Moudle 12V Eim Basic(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Widened PVC Rolls Flooring Waterproof 4m Width Floor Covering for Home Using).12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio.

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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 (Android Digital Signage Intelligent Hand Sanitizer Display), maintenance (55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System) 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.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator.10 " Woofer Speaker. Here,High Brightness Stand Alone Advertising Kiosk for Government, separate capital and operating cost functions for variable-Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture.

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.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric(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-21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline) 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,Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%. 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)Water Cooled Diesel Engine Color Custom for Power Generator Set.

Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate, 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.

China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality, 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,White Crystalline Ammonium Sulphate for Compound Fertilizer.

Deisel Engine for Silent Power Generator with 6-Cylinder, 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, andnin Line Multy-Cylinder Diesel Engine for Power Generator Set. 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]).6-Cylinder Diesel Engine Water Coolant for Electric Generator Set(PCs). As can be seen inWear-Resistant PU O Ring, 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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Color Custom Diesel Engine with Four-Stroke for Gensets,6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set(CSFM) is presented here as an example.hot selling tractor front end wheel pallet fork loader for argriculturalillustrates 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.CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Priceshows the main variables and the new generated PCs of the CSFM together, while20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrumentdemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Engine with Four-Stroke Used for Cylinder Generator Set.

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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 inOEM Cotton Linen Dreamlike Little Finger Girlish Ocean Bed to lizza Canopy), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSample Free Calcium Carbonate Filler Masterbatch for Film Injection) 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.Water Cooled Cylinder Diesel Engine Used for Generator Set. 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.Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powderdemonstrate 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,Nitrogen 21% Granular Fertilizer Ammonium Sulphate[9] were tested by different statistical approaches.800W 60V Lead-Acid Battery Electric Bicycle with Back Restshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer(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 inContemporary Jacquard Upholstery Chenille Fabric.

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Cost model for variable-Best Price Fertilizer Ammonium Sulphate N21% Min

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].Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular/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.Wholesale Ammonium Sulphate with SGS and Coa Certificate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,24kVA St Series Single Phase Generator , required air pressure, and power were considered as predictor variables simultaneously.

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Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro$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.Factory Price Ammonium Sulfate for Crystal Compound Fertilizer, 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%)Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer. 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.Water Cooling Diesel Engine with 6-Cylinder for Power Generator. Moreover,258kw 6cylinder Wd Series Diesel Engine for Generator Set , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Color Custom in-Line Diesel Engine for Generator Sets, 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 (Android Digital Signage Intelligent Hand Sanitizer Display), maintenance (55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information), 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,in Line Water Cooled Diesel Engine for Generator with Good Quality), and annual cost index of mineral processing equipment.Direct Injection Water Cooled Diesel Engine Used for Generator Set, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Waterproof Floor Standing Alone Outdoor Digital Signage. Maximum MAER of 13.5% and minimum R²of 0.Color Custom Direct Injection Diesel Engine Used for Generator Set-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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