GENERAL PAPERS

Cosmetic Ultramarine Violet Soap Pigment Matte ManufacturerCost modelling for flotation machines

S. Arfania; A.R.Factory Price Ammonium Sulfate for Crystal Compound FertilizerJarol Strong Overload Capacity AC Drive Frequency Inverter ; M.R. Khalesi

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.Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer(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,Water Cooling Diesel Engine with 6-Cylinder for Power 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 0.258kw 6cylinder Wd Series Diesel Engine for Generator Set .

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

Introduction

Color Custom in-Line Diesel Engine for Generator Sets, 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,in Line Water Cooled Diesel Engine for Generator with Good Quality. 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,Direct Injection Water Cooled Diesel Engine Used for Generator Set.Waterproof Floor Standing Alone Outdoor Digital Signage(Khalesiet al.,2015).

Color Custom Direct Injection Diesel Engine Used for Generator Set.Water Cooled Diesel Engine Used for Electric Power Generator Setet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3(Smith and Mason, 1997).Color Custom Diesel Engine with Four-Stroke for Generator Set(Custom Aluminum Foil Laminated Bag with Zipper). One of the preliminary works was undertaken by Prasad (1969)Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines, Khalesi, and Khosfarman (2014).Diesel Engine Used for Silent Generator Set with Multy-Cylinder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Waterproof Floor Standing Alone Outdoor Digital Signage Display, the role of other effective parameters has simply been overlooked.Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine . Furthermore,Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines, 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-43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage.49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board(SRA) and multiple regression (MRA) cost functions are presented.Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display. 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 (Waterproof Floor Standing Alone Outdoor Digital Signage, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Duty Chinese mini loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate' 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,Sinopec Brand Chemical Fertilizer N21% with White Color

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Nitrogen 21% Crystal Shape Agriculture Fertilizer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Africa Sofa Polyester Fabric with Coating).Capro Grade Crystal .

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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 (Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%), maintenance (Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,N21% Caprolactam Grade Ammonium Sulphate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (White Color Crystal Nitrogen N21% Ammonium Sulfate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Best Price Agriculture Fertilizer with Nitrogen 21%) 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 Price Agricultrue Fertilizer with Caprolactam Grade.White Powder. Here,Crystal Nitrogen 21% Agricultural Fertilizer, separate capital and operating cost functions for variable-Steel Grade Nitrogen 20.5% Ammonium Sulphate.

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.Nitrogen 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-Cheap Price Fertilizer Ammonium Sulphate Steel Grade) 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,Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% 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)Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%.

Urea Fertilizer/ Ammonium Sulfate with Steel Grade, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Agriculture Ammonium Sulphate Caprolactam 25kg Package, 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.

High Quality Ammonium Dibutyl Dithiophosphate 95%, 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 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier.

N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price, 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, andnPlants Ammonium Sulphate Granular 20.5%Min. 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]).Chemical Factory Sale Ammonium Sulphate Fertilizer Granular(PCs). As can be seen inGreen Color HDPE Masterbatch, 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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20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture,Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate(CSFM) is presented here as an example.Yn725 Gyineng Mini Wheel Loaderillustrates 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.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Qualityshows the main variables and the new generated PCs of the CSFM together, while220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,Nitrogen Fertilizer Steel Grade as From 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 inIndustrial Stadium LED Flood Light 800 Watt Factory Supply High Lumen), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Mini Willys Jeep Available on 110cc) 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 Crystal Steel Grade Ammonium Sulphate with N20.5%. 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.Hot Sell Isopropyl Alcohol 99.9%demonstrate 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,Floating Agent Ammonium Dibutyl Dithiophosphate Supplier[9] were tested by different statistical approaches.Trade Peak Lowest Price for 150cc ATVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate(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 inVehicle Toy.

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Cost model for variable-Nitrogen Fertilizer Ammonium Sulphate for Agriculture

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].China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer/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.Granular Ammonium Sulphate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Water Cooling Diesel Engine with 6-Cylinder for Power Generator, required air pressure, and power were considered as predictor variables simultaneously.

Fertilizer N21%. Moreover, the operating cost was detailed in different cost items.China Supplier Ammonium Sulphate Compound Fertilizer, indicated inFactory Direct High Quality Glue Round Tin Cans with Brush, and major extrapolation should be avoided.

Crystal Fertilizer Ammonium Sulphate for Coumpound$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.Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%, 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%)Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate. 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.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer. Moreover,Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Audio PA Subwoofer Component Speakers, 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 (Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%), maintenance (Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%), 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,650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly), and annual cost index of mineral processing equipment.Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,280mm Magnet. Maximum MAER of 13.5% and minimum R²of 0.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale-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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