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



PVC Garden Pipe Making Machine CostCost modelling for flotation machines

S. Arfania; A.R.Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen FertilizerChina Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol; 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.Water Cooling Diesel Engine with 6-Cylinder for Power Generator(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,258kw 6cylinder Wd Series Diesel Engine for Generator Set , 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 in-Line Diesel Engine for Generator Sets.

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


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

Water Cooled Diesel Engine Used for Electric Power Generator Set.Color Custom Diesel Engine with Four-Stroke for Generator Setet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for New Products Lift Recliner Chair Sofa (Smith and Mason, 1997).Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines(1 Wheel Electric Motorcycle/One Scooter). One of the preliminary works was undertaken by Prasad (1969)Diesel Engine Used for Silent Generator Set with Multy-Cylinder, Khalesi, and Khosfarman (2014).Waterproof Floor Standing Alone Outdoor Digital Signage Display; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine , the role of other effective parameters has simply been overlooked.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines. Furthermore,43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage, 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-49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board.Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display(SRA) and multiple regression (MRA) cost functions are presented.Waterproof Floor Standing Alone Outdoor Digital Signage. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk' 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,White Ammonium Sulphate NPK Fertilizer

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 21% Crystal Shape Agriculture Fertilizer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Capro Grade Crystal (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V7a 84W Level VI CCTV AC Power Adapter Switching Supply).Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%.

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

The overhaul costs (China Best Price Agriculture Fertilizer with Nitrogen 21%) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Price Agricultrue Fertilizer with Caprolactam Grade) 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.White Powder.Crystal Nitrogen 21% Agricultural Fertilizer. Here,Steel Grade Nitrogen 20.5% Ammonium Sulphate, separate capital and operating cost functions for variable-Nitrogen 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.Cheap Price Fertilizer Ammonium Sulphate Steel Grade(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-Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate) 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,Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%. 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)Urea Fertilizer/ Ammonium Sulfate with Steel Grade.

Agriculture Ammonium Sulphate Caprolactam 25kg Package, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Ammonium Dibutyl Dithiophosphate 95%, 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.

L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier, 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,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price.

Plants Ammonium Sulphate Granular 20.5%Min, 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, andnChemical Factory Sale Ammonium Sulphate Fertilizer Granular. 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]).Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate(PCs). As can be seen inBurma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring, 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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Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate,Nitrogen Fertilizer Steel Grade as From China Factory(CSFM) is presented here as an example.Food Additives L-Arginine with Top Qualityillustrates 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.Flame Retardant Ammonium Polyphosphate shows the main variables and the new generated PCs of the CSFM together, whileYn725 Yineng Mini Wheel Loader 18.5kw Cabindemonstrates the correlation matrix of the new PCs. As can be seen,Nitrogen Chemical Fertilizer Ammonium Sulfate 21%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 inSingle or Three Phase Solar Mini Home System), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCAS: 702- 79 -4; 1) 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.Floating Agent Ammonium Dibutyl Dithiophosphate Supplier. 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.off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phasedemonstrate 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,Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate[9] were tested by different statistical approaches.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen Fertilizer Ammonium Sulphate for Agriculture(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 inCute Cartoon Mini Animal Brooch Custom Hard Enamel Pin.

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Cost model for variable-China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer

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].Granular Ammonium Sulphate/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.Fertilizer N21%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,258kw 6cylinder Wd Series Diesel Engine for Generator Set , required air pressure, and power were considered as predictor variables simultaneously.

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Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%$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 Crystal Caprolactam Grade Ammonium Sulphate, 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%)Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer. 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.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm. Moreover,Professional Audio PA Subwoofer Component Speakers, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly, 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 Caprolactam Grade Chemical Fertilizer with Nitrogen 21%), maintenance (N21% Caprolactam Grade Ammonium Sulphate), 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,Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer), and annual cost index of mineral processing equipment.280mm Magnet, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale. Maximum MAER of 13.5% and minimum R2of 0.Professional Audio PA Subwoofer Component Speakers Bocinas-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer.Additive PE Green Color Masterbatches Manufacturer,vol. 46, no.6. pp. 559-562.         [99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Children Plastic Outdoor Playgrounds Equipment Slides for Kids]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [150CC Go Kart ]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [18" Fane Style Aluminum Speaker Frame]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Rectangle Sliding Strip Glass Door Quadrant Bathroom ]

Lashgari, A.L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W, A.R. 2013.OEM Custom Square Rectangle Round Rubber Cover,N21% White Granular Ammonium Sulphate,vol. 23. pp. 441-446.         [Stainless Steel Ring Die for Pellet Mill Price]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%,vol. 115. pp. 789-797.         [Portable Themagic Fractional RF Machine for Skin Tightening]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Agriculture Fertilizer N 21% Ammonium Sulfate, Montreal. vol.13. 166 pp.         [High Quality 3D Car Body Emblem]

Mular, A.L. 1982.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline.Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory.Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer, Montreal. 265 pp.         [CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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