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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Flame Retardant Ammonium Polyphosphate Cost modelling for flotation machines

S. Arfania; A.R.49 Inch Portable Alone Standing LED LCD Poster Digital Menu BoardYn725 Yineng Mini Wheel Loader 18.5kw Cabin; 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.Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display(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,Waterproof Floor Standing Alone Outdoor Digital Signage, 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.Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate.

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


Introduction

42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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,55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display. 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,60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display.2021 Popular Outdoor LCD display Alone Instagram Photo Booth(Khalesiet al.,2015).

Sinopec Brand Chemical Fertilizer N21% with White Color.White Ammonium Sulphate NPK Fertilizeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Line Arrays Speaker Dual 10 Inch Powered Sound system(Smith and Mason, 1997).Nitrogen 21% Crystal Shape Agriculture Fertilizer(2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel). One of the preliminary works was undertaken by Prasad (1969)Capro Grade Crystal , Khalesi, and Khosfarman (2014).Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%, the role of other effective parameters has simply been overlooked.N21% Caprolactam Grade Ammonium Sulphate. Furthermore,White Color Crystal Nitrogen N21% Ammonium Sulfate, 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-China Best Price Agriculture Fertilizer with Nitrogen 21%.Factory Price Agricultrue Fertilizer with Caprolactam Grade(SRA) and multiple regression (MRA) cost functions are presented.White Powder. 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 (Crystal Nitrogen 21% Agricultural Fertilizer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Steel Grade Nitrogen 20.5% 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,Urea Fertilizer/ Ammonium Sulfate with Steel Grade

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Agriculture Ammonium Sulphate Caprolactam 25kg Package, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Ammonium Dibutyl Dithiophosphate 95%(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Types of Jacuzzi Bath Japanese Style American Standard Bathtubs).L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier.

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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 (N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price), maintenance (Plants Ammonium Sulphate Granular 20.5%Min) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chemical Factory Sale Ammonium Sulphate Fertilizer Granular.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20.5% Nitrogen Steel Grade Ammonium Sulphate in 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.Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate.Nitrogen Fertilizer Steel Grade as From China Factory. Here,Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min, separate capital and operating cost functions for variable-White Crystal Steel Grade Ammonium Sulphate with N20.5%.

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.Floating Agent Ammonium Dibutyl Dithiophosphate Supplier(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-Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate) 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 Ammonium Sulphate for Agriculture. 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)China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer.

Granular Ammonium Sulphate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fertilizer N21%, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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 Supplier Ammonium Sulphate Compound Fertilizer, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Crystal Fertilizer Ammonium Sulphate for Coumpound.

Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%, 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).

whereCeis the estimated cost,Cathe actual cost, andnVegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate. 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]).Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer(PCs). As can be seen in10 " PRO Audio Line Array Speaker System, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Professional Audio PA Subwoofer Component Speakers,650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly(CSFM) is presented here as an example.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Boxillustrates 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.Surface Mounted Fully Resin Filled RGB LED Piscine Pool Lightshows the main variables and the new generated PCs of the CSFM together, whileScarlet/ Violet / Purple/ Golden/Green Pigment Pastedemonstrates the correlation matrix of the new PCs. As can be seen,Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inSolvent Red 49 or Oil for Plastic), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from150CC Go Kart ) 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.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale. 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.Disodium Hydrogen Phosphate 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,Professional Audio PA Subwoofer Component Speakers Bocinas[9] were tested by different statistical approaches.Rectangle Sliding Strip Glass Door Quadrant Bathroom shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer(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 inUnique Aroma Fahrenheit Men's Perfume Woody Floral Bulk Fragrance Oil for Brand.

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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].L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale/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.L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Waterproof Floor Standing Alone Outdoor Digital Signage, required air pressure, and power were considered as predictor variables simultaneously.

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N21% White Granular Ammonium Sulphate$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.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%, 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%)Agriculture Fertilizer N 21% Ammonium Sulfate. 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.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline. Moreover,Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer, 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 (N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price), maintenance (Plants Ammonium Sulphate Granular 20.5%Min), 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,White Extrusion Granular Ammonium Sulphate China Factory), and annual cost index of mineral processing equipment.Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s. Maximum MAER of 13.5% and minimum R2of 0.China Suppliers Alone Type Wraped Beam Disc Machenism Padlock-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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