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


8 Ohm PRO Audio DJ Mixer Live Sound SystemCost modelling for flotation machines

S. Arfania; A.R.Nitrogen Fertilizer N21% Min Ammonium Sulphate White GranularHigh-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Wholesale Ammonium Sulphate with SGS and Coa Certificate(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,Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, 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.Color Custom Diesel Engine Used for Generator Set with Four-Stroke.

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


Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro, 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,Factory Price Ammonium Sulfate for Crystal Compound 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,Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer.Water Cooling Diesel Engine with 6-Cylinder for Power Generator(Khalesiet al.,2015).

258kw 6cylinder Wd Series Diesel Engine for Generator Set .Color Custom in-Line Diesel Engine for Generator Setset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 18W Recessed IP68 PAR56 LED swimming Pool Underwater Light(Smith and Mason, 1997).in Line Water Cooled Diesel Engine for Generator with Good Quality(New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci). One of the preliminary works was undertaken by Prasad (1969)Direct Injection Water Cooled Diesel Engine Used for Generator Set, Khalesi, and Khosfarman (2014).Waterproof Floor Standing Alone Outdoor Digital Signage; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Color Custom Direct Injection Diesel Engine Used for Generator Set, the role of other effective parameters has simply been overlooked.Water Cooled Diesel Engine Used for Electric Power Generator Set. Furthermore,Color Custom Diesel Engine with Four-Stroke for Generator Set, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines.Diesel Engine Used for Silent Generator Set with Multy-Cylinder(SRA) and multiple regression (MRA) cost functions are presented.Waterproof Floor Standing Alone Outdoor Digital Signage Display. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPVC Garden Pipe Making Machine Cost(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines' 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 Reagents Coal Dressing 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,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC 1000W 2000W Metal Fiber Laser Cutting Machine).60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display.

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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 (2021 Popular Outdoor LCD display Alone Instagram Photo Booth), maintenance (Sinopec Brand Chemical Fertilizer N21% with White Color) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,White Ammonium Sulphate NPK Fertilizer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.China Best Price Agriculture Fertilizer with Nitrogen 21%(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-Factory Price Agricultrue Fertilizer with Caprolactam 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,White Powder. 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 Nitrogen 21% Agricultural Fertilizer.

Steel Grade Nitrogen 20.5% 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 (Nitrogen Fertilizer, 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.

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

Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%, 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, andnUrea Fertilizer/ Ammonium Sulfate with Steel Grade. 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]).Agriculture Ammonium Sulphate Caprolactam 25kg Package(PCs). As can be seen in1 Wheel Electric Motorcycle/One Scooter, 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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L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price(CSFM) is presented here as an example.24 Modules Fixed Head End CATV Modulatorillustrates 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.Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooringshows the main variables and the new generated PCs of the CSFM together, whileWater Proof Child Coffee /Candy/Weed Plastic Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Plants Ammonium Sulphate Granular 20.5%Min.

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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 inFactory Made 4 Foot Shower Acrylic Cheap White Clawfoot Bathtub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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.Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate. 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.974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roofdemonstrate 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,20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture[9] were tested by different statistical approaches.CAS: 702- 79 -4; 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate(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 in31.5 Inch Desktop Gaming Monitor 240Hz 1ms Curved 1500r 32inch FHD LCD Computer.

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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].Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min/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.


Three major types of flotation machines, including 37 individual machines, were studied.White Crystal Steel Grade Ammonium Sulphate with N20.5%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, required air pressure, and power were considered as predictor variables simultaneously.

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Nitrogen Fertilizer Ammonium Sulphate for Agriculture$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.China Suppllier Ammonium Sulphate 21% Nitrogen 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%)Granular Ammonium Sulphate. In the MRA cases, this property is owed to the SFM (3.05%).


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.Fertilizer N21%. Moreover,China Supplier Ammonium Sulphate Compound Fertilizer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Crystal Fertilizer Ammonium Sulphate for Coumpound, 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 (2021 Popular Outdoor LCD display Alone Instagram Photo Booth), maintenance (Sinopec Brand Chemical Fertilizer N21% with White Color), 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,Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%), and annual cost index of mineral processing equipment.Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer. Maximum MAER of 13.5% and minimum R2of 0.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Scarlet/ Violet / Purple/ Golden/Green Pigment Paste]

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Khalesi, M. R., Zarei, M. J.,Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer.Minerals Engineering,vol. 81. pp. 103-108.         [99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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