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.White Color Crystal Nitrogen N21% Ammonium Sulfate(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,China Best Price Agriculture Fertilizer with Nitrogen 21%, 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.Factory Price Agricultrue Fertilizer with Caprolactam Grade.

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

Introduction

White Powder, 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,Crystal Nitrogen 21% Agricultural Fertilizer. 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,Steel Grade Nitrogen 20.5% Ammonium Sulphate.Nitrogen Fertilizer(Khalesiet al.,2015).

Cheap Price Fertilizer Ammonium Sulphate Steel Grade.Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304(Smith and Mason, 1997).Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%(Scarlet/ Violet / Purple/ Golden/Green Pigment Paste). One of the preliminary works was undertaken by Prasad (1969)Urea Fertilizer/ Ammonium Sulfate with Steel Grade, Khalesi, and Khosfarman (2014).Agriculture Ammonium Sulphate Caprolactam 25kg Package; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Ammonium Dibutyl Dithiophosphate 95%, the role of other effective parameters has simply been overlooked.L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier. Furthermore,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price, 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-Plants Ammonium Sulphate Granular 20.5%Min.Chemical Factory Sale Ammonium Sulphate Fertilizer Granular(SRA) and multiple regression (MRA) cost functions are presented.Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate. 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 (20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA Power DJ Audio Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate' 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,Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Nitrogen Fertilizer Ammonium Sulphate for Agriculture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Showa Hydraulic Over-Load Protector 60ton C Frame Power Press).Granular Ammonium Sulphate.

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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 (Fertilizer N21%), maintenance (China Supplier Ammonium Sulphate Compound Fertilizer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Crystal Fertilizer Ammonium Sulphate for Coumpound.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate) 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.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm. Here,Professional Audio PA Subwoofer Component Speakers, separate capital and operating cost functions for variable-650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly.

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.Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer(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-280mm Magnet) 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,Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale. 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)Professional Audio PA Subwoofer Component Speakers Bocinas.

L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Additive PE Green Color Masterbatches Manufacturer, 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.

L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale, 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,L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer.

L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W, 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, andnOEM Custom Square Rectangle Round Rubber Cover. 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]).N21% White Granular Ammonium Sulphate(PCs). As can be seen in150CC Go Kart , 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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Agriculture Fertilizer N 21% Ammonium Sulfate,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline(CSFM) is presented here as an example.Disodium Hydrogen Phosphate illustrates 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.Rectangle Sliding Strip Glass Door Quadrant Bathroom shows the main variables and the new generated PCs of the CSFM together, whileNiche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5demonstrates the correlation matrix of the new PCs. As can be seen,Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory.

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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 inSea Shipping LCL Freight Forwarder From China to Fremantle Australia Professional Fast Reliable Logistics Services), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902) 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.White Extrusion Granular Ammonium Sulphate China Factory. 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.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drivedemonstrate 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,Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer[9] were tested by different statistical approaches.Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s(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 inChina stainless steel sanitary quality pneumatic butterfly 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].Dust Proof Steel Shackle Padlocks with Master Key/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.Padlock-G38PDP; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Best Price Agriculture Fertilizer with Nitrogen 21%, required air pressure, and power were considered as predictor variables simultaneously.

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Alone Type Wraped Beam Leaves Iron Padlock $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.Fuso Truck & Bus Turbo Td04 49377-03041 Me201258 for 4m40 Engine Mitsubishi Pajero, 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%)Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passat. 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.Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457. Moreover,Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit, 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 (Fertilizer N21%), maintenance (China Supplier Ammonium Sulphate Compound Fertilizer), 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,Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003), and annual cost index of mineral processing equipment.FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011. Maximum MAER of 13.5% and minimum R²of 0.Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm-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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