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


20dB Gain DJ Mixing Console with MP3 Input Cost modelling for flotation machines

S. Arfania; A.R.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for GeneratorSamll EPA 0.8ton Tractor Loader; 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.10 " Woofer Speaker(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,High Brightness Stand Alone Advertising Kiosk for Government, 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.Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture.

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


High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric, 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,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline. 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,Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%.Water Cooled Diesel Engine Color Custom for Power Generator Set(Khalesiet al.,2015).

Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets.Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Everun CE Approved 0.8 Ton Front End Loader(Smith and Mason, 1997).China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality(2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals). One of the preliminary works was undertaken by Prasad (1969)White Crystalline Ammonium Sulphate for Compound Fertilizer, Khalesi, and Khosfarman (2014).Deisel Engine for Silent Power Generator with 6-Cylinder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,in Line Multy-Cylinder Diesel Engine for Power Generator Set, the role of other effective parameters has simply been overlooked.6-Cylinder Diesel Engine Water Coolant for Electric Generator Set. Furthermore,in Line Direct Injection Diesel Engine Used 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-Color Custom Diesel Engine with Four-Stroke for Gensets.6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set(SRA) and multiple regression (MRA) cost functions are presented.Diesel Engine with Four-Stroke Used for Cylinder Generator Set. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Direct Injection Water Cooled Diesel Engine for Generator Set, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Water Cooled Cylinder Diesel Engine Used for Generator Set' 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,Wholesale Ammonium Sulphate with SGS and Coa Certificate

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 Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Color Custom Diesel Engine Used for Generator Set with Four-Stroke(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (White KN95 Mask /N95 Hygiene).Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro.

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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 (Factory Price Ammonium Sulfate for Crystal Compound Fertilizer), maintenance (Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Water Cooling Diesel Engine with 6-Cylinder for Power Generator.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (258kw 6cylinder Wd Series Diesel Engine for Generator Set ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Color Custom in-Line Diesel Engine for Generator Sets) 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 Line Water Cooled Diesel Engine for Generator with Good Quality.Direct Injection Water Cooled Diesel Engine Used for Generator Set. Here,Waterproof Floor Standing Alone Outdoor Digital Signage, separate capital and operating cost functions for variable-Color Custom Direct Injection Diesel Engine Used for Generator Set.

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.Water Cooled Diesel Engine Used for Electric Power Generator Set(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-Color Custom Diesel Engine with Four-Stroke for Generator Set) 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,Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines. 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)Diesel Engine Used for Silent Generator Set with Multy-Cylinder.

Waterproof Floor Standing Alone Outdoor Digital Signage Display, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine , 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.

Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines, 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,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, 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, andnAlone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display. 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]).Waterproof Floor Standing Alone Outdoor Digital Signage(PCs). As can be seen inDisodium Phosphate Food Grade Manufacturer, 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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42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk,55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display(CSFM) is presented here as an example.Cheap Smart Lady's Electric Scooter 60V800Willustrates 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.Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Foodshows the main variables and the new generated PCs of the CSFM together, whileRuijie Rg-Ap220-E demonstrates the correlation matrix of the new PCs. As can be seen,60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display.

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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 inMedicine Hospital Pharmaceutical Cold Room Storage), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from8 Ohm PRO Audio DJ Mixer Live Sound System) 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.Sinopec Brand Chemical Fertilizer N21% with White Color. 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.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Cidemonstrate 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,White Ammonium Sulphate NPK Fertilizer[9] were tested by different statistical approaches.PVC Garden Pipe Making Machine Costshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen 21% Crystal Shape Agriculture Fertilizer(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 inKh 6020 Fiber Laser Pipe Metal Equipment Cutting Machine.

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Cost model for variable-Capro Grade Crystal

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].Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%/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.Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Brightness Stand Alone Advertising Kiosk for Government, required air pressure, and power were considered as predictor variables simultaneously.

N21% Caprolactam Grade Ammonium Sulphate. Moreover, the operating cost was detailed in different cost items.White Color Crystal Nitrogen N21% Ammonium Sulfate, indicated in350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale, and major extrapolation should be avoided.

China Best Price Agriculture Fertilizer with Nitrogen 21%$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.Factory Price Agricultrue Fertilizer with Caprolactam Grade, 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%)White Powder. 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.Crystal Nitrogen 21% Agricultural Fertilizer. Moreover,Steel Grade Nitrogen 20.5% Ammonium Sulphate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Nitrogen 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 (Factory Price Ammonium Sulfate for Crystal Compound Fertilizer), maintenance (Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer), 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,Cheap Price Fertilizer Ammonium Sulphate Steel Grade), and annual cost index of mineral processing equipment.Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%. Maximum MAER of 13.5% and minimum R2of 0.Urea Fertilizer/ Ammonium Sulfate with Steel Grade-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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