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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media PlayerCost modelling for flotation machines

S. Arfania; A.R.20kVA St Series Single Phase Generator 2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof; 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.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.(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,7.5kVA St Series Single Phase 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.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio.

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


2 Way Passive 10 " Professional PRO Audio PA Line Array, 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,Stc Series Three Phase Dynamo Generator . 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,China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder.Stc Series Three Phase Dynamo Generator (Khalesiet al.,2015).

CAS: 74- 79 -3 Amino Acid L-Arginine.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyaceticet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1kw Solar Power System Grid Tied 1000W on Panel Price(Smith and Mason, 1997).St-10kw/kVA Single Phase Brush Type Electric Generator(Mini Loader/Small Wheel Loader Zl08 with CE). One of the preliminary works was undertaken by Prasad (1969)Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, Khalesi, and Khosfarman (2014).Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% Copper Wire St-7.5kw Single Phase Alternator Factory Price, the role of other effective parameters has simply been overlooked.100% Copper Wire St-5kw Single Phase Brush Generator. Furthermore,Home Theater Speaker, 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-Dual 6" Coaxial Full Range Speaker for Entertainment Room.12inch Stage Monitor Speaker(SRA) and multiple regression (MRA) cost functions are presented.KTV Single 8" Full Range Audio&Sets. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (St-2kw 230V/50Hz Single Phase Brush Alternator for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWear-Resistant PU O Ring(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Stc-12kw/15kVA Three Phase AC Electric Generator on Sale' 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,Android Digital Signage Intelligent Hand Sanitizer Display

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (En124 C250 Composite Manhole Cover for Road Drainage).LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards.

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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 (43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System), maintenance (Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 " Woofer Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Brightness Stand Alone Advertising Kiosk for Government) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for 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.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline. Here,Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%, separate capital and operating cost functions for variable-Water Cooled Diesel Engine Color Custom for Power 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.Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets(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 Fertilizers Agriculture N20.5% Granular 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,China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality. 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)White Crystalline Ammonium Sulphate for Compound Fertilizer.

Deisel Engine for Silent Power Generator with 6-Cylinder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (in Line Multy-Cylinder Diesel Engine for Power Generator Set, 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.

6-Cylinder Diesel Engine Water Coolant for Electric Generator Set, 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,in Line Direct Injection Diesel Engine Used for Generator Set.

Color Custom Diesel Engine with Four-Stroke for Gensets, 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, andn6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set. 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]).Diesel Engine with Four-Stroke Used for Cylinder Generator Set(PCs). As can be seen inhot selling tractor front end wheel pallet fork loader for argricultural, 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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Water Cooled Cylinder Diesel Engine Used for Generator Set,Nitrogen 21% Granular Fertilizer Ammonium Sulphate(CSFM) is presented here as an example.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrumentillustrates 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.12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrialshows the main variables and the new generated PCs of the CSFM together, whilePeanut Shell and Rice Husk Continuous Carbonization Ovendemonstrates the correlation matrix of the new PCs. As can be seen,China Professional Manufacturer Ammonium Sulphate Crystal 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 inCody Lundin High Quality Printed Streetwear Oversized T Shirt Graphic 100% Cotton Mens Custom Tshirt), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder) 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.Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular. 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.Frequency Inverter Pump AC Drive Pricedemonstrate 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,Wholesale Ammonium Sulphate with SGS and Coa Certificate[9] were tested by different statistical approaches.20dB Gain DJ Mixing Console with MP3 Input shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Agriculture Fertilizer Crystal 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 inCustom Wholesale Sports Fanny Pack Waist Bag Running Bum.

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Cost model for variable-Color Custom Diesel Engine Used for Generator Set with Four-Stroke

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].Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro/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.Factory Price Ammonium Sulfate for Crystal Compound Fertilizer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,7.5kVA St Series Single Phase Generator , required air pressure, and power were considered as predictor variables simultaneously.

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258kw 6cylinder Wd Series Diesel Engine for Generator Set $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.Color Custom in-Line Diesel Engine for Generator Sets, 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%)in Line Water Cooled Diesel Engine for Generator with Good Quality. 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.Direct Injection Water Cooled Diesel Engine Used for Generator Set. Moreover,Waterproof Floor Standing Alone Outdoor Digital Signage, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Color Custom Direct Injection Diesel Engine Used for Generator Set, 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 (43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System), maintenance (Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator), 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,Water Cooled Diesel Engine Used for Electric Power Generator Set), and annual cost index of mineral processing equipment.Color Custom Diesel Engine with Four-Stroke for Generator Set, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines. Maximum MAER of 13.5% and minimum R2of 0.Diesel Engine Used for Silent Generator Set with Multy-Cylinder-feasibility and even feasibility study level of projects.


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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [8 Ohm PRO Audio DJ Mixer Live Sound System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory RoofCAS: 702- 79 -4; 1Corresponding author

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