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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.Sinopec Brand Chemical Fertilizer N21% with White Color(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,White Ammonium Sulphate NPK Fertilizer, 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.Nitrogen 21% Crystal Shape Agriculture Fertilizer.

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

Introduction

Capro Grade Crystal , 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,Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%. 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,Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%.N21% Caprolactam Grade Ammonium Sulphate(Khalesiet al.,2015).

White Color Crystal Nitrogen N21% Ammonium Sulfate.China Best Price Agriculture Fertilizer with Nitrogen 21%et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker (Smith and Mason, 1997).Factory Price Agricultrue Fertilizer with Caprolactam Grade(Hot Sell Isopropyl Alcohol 99.9%). One of the preliminary works was undertaken by Prasad (1969)White Powder, Khalesi, and Khosfarman (2014).Crystal Nitrogen 21% Agricultural Fertilizer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Steel Grade Nitrogen 20.5% Ammonium Sulphate, the role of other effective parameters has simply been overlooked.Nitrogen Fertilizer. Furthermore,Cheap Price Fertilizer Ammonium Sulphate Steel Grade, 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-Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate.Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%(SRA) and multiple regression (MRA) cost functions are presented.Urea Fertilizer/ Ammonium Sulfate with Steel Grade. 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 (Agriculture Ammonium Sulphate Caprolactam 25kg Package, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTrade Peak Lowest Price for 150cc ATV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Ammonium Dibutyl Dithiophosphate 95%' 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,Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Diamond Electrical Copper Cable Polrcrystalline Wire Drawing Dies).Nitrogen Fertilizer Steel Grade as From China Factory.

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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 (Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min), maintenance (White Crystal Steel Grade Ammonium Sulphate with N20.5%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Floating Agent Ammonium Dibutyl Dithiophosphate Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Nitrogen Fertilizer Ammonium Sulphate for Agriculture) 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.China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer.Granular Ammonium Sulphate. Here,Fertilizer N21%, separate capital and operating cost functions for variable-China Supplier Ammonium Sulphate Compound Fertilizer.

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.Crystal Fertilizer Ammonium Sulphate for Coumpound(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-Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%) 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,Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate. 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)Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer.

Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio PA Subwoofer Component Speakers, 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.

650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly, 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,Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer.

280mm Magnet, 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, andnBocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale. 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]).Professional Audio PA Subwoofer Component Speakers Bocinas(PCs). As can be seen in100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, 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.TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Useshows the main variables and the new generated PCs of the CSFM together, whileEougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer.

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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 inMultipurpose Woodworking Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromManual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor) 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.OEM Custom Square Rectangle Round Rubber Cover. 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.Draught Fan Digital LED Micro Air Wind Pressure Sensordemonstrate 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,N21% White Granular Ammonium Sulphate[9] were tested by different statistical approaches.Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dyeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%(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 inSurveillance 600tvl IR waterproof Mini Dome CCTV Security Camera.

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Cost model for variable-Agriculture Fertilizer N 21% Ammonium Sulfate

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].21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline/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.Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,White Ammonium Sulphate NPK Fertilizer, required air pressure, and power were considered as predictor variables simultaneously.

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Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer$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.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s, 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%)China Suppliers Alone Type Wraped Beam Disc Machenism Padlock. 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.Dust Proof Steel Shackle Padlocks with Master Key. Moreover,Padlock-G38PDP, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Breaker Lock, 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 (Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min), maintenance (White Crystal Steel Grade Ammonium Sulphate with N20.5%), 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,Padlock), and annual cost index of mineral processing equipment.Alone Type Wraped Beam Leaves Iron Padlock , 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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