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



Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4Cost modelling for flotation machines

S. Arfania; A.R.China Supplier 15 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container; 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.100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (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,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator, 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 0.24kVA St Series Single Phase Generator .

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


20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator, 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,20kVA St Series Single Phase 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,PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box..7.5kVA St Series Single Phase Generator (Khalesiet al.,2015).

Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio.2 Way Passive 10 " Professional PRO Audio PA Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1-Bromo-3(Smith and Mason, 1997).Stc Series Three Phase Dynamo Generator (Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine). One of the preliminary works was undertaken by Prasad (1969)China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder, Khalesi, and Khosfarman (2014).Stc Series Three Phase Dynamo Generator ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS: 74- 79 -3 Amino Acid L-Arginine, the role of other effective parameters has simply been overlooked.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic. Furthermore,St-10kw/kVA Single Phase Brush Type Electric Generator, 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-Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator.Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2(SRA) and multiple regression (MRA) cost functions are presented.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (100% Copper Wire St-5kw Single Phase Brush Generator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Home Theater Speaker' 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,Stc-12kw/15kVA Three Phase AC Electric Generator on Sale

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,St 5kw Single Phase AC Electric Alternator Generator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Canned Champignons Whole in Brine).258 -9754 Electric Engine Interface Moudle 12V Eim Basic.

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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 (12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio), maintenance (Android Digital Signage Intelligent Hand Sanitizer Display) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards) 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.43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator. Here,10 " Woofer Speaker, separate capital and operating cost functions for variable-High Brightness Stand Alone Advertising Kiosk for Government.

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.Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture(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-High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric) 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,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline. 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)Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%.

Water Cooled Diesel Engine Color Custom for Power Generator Set, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets, 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.

Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate, 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,China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality.

White Crystalline Ammonium Sulphate for Compound Fertilizer, 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, andnDeisel Engine for Silent Power Generator with 6-Cylinder. 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]).in Line Multy-Cylinder Diesel Engine for Power Generator Set(PCs). As can be seen inNew Products Lift Recliner Chair Sofa , 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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in Line Direct Injection Diesel Engine Used for Generator Set,Color Custom Diesel Engine with Four-Stroke for Gensets(CSFM) is presented here as an example.Deisel Engine for Silent Power Generator with 6-Cylinderillustrates 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.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warrantyshows the main variables and the new generated PCs of the CSFM together, whileGt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011demonstrates the correlation matrix of the new PCs. As can be seen,6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set.

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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 inNes-100 Series SMPS AC/DC LED Driver Switching Power Supply), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light) 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.Direct Injection Water Cooled Diesel Engine for Generator Set. 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.Square Tin Paint Packaging Can Lubricant Oil Containersdemonstrate 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,Water Cooled Cylinder Diesel Engine Used for Generator Set[9] were tested by different statistical approaches.Adult 800W Power Electric Scooter Suit for Womanshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen 21% Granular Fertilizer 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 inHot Sales RGB Color by Phone APP Bluetooth Control LED Fog Light DRL Daytime Running.

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Cost model for variable-China Professional Manufacturer Ammonium Sulphate Crystal 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].Best Price Fertilizer Ammonium Sulphate N21% 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.Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator, required air pressure, and power were considered as predictor variables simultaneously.

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Color Custom Diesel Engine Used for Generator Set with Four-Stroke$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.Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro, 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%)Factory Price Ammonium Sulfate for Crystal Compound 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.Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer. Moreover,Water Cooling Diesel Engine with 6-Cylinder for Power Generator, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (258kw 6cylinder Wd Series Diesel Engine 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 (12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio), maintenance (Android Digital Signage Intelligent Hand Sanitizer Display), 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,Color Custom in-Line Diesel Engine for Generator Sets), and annual cost index of mineral processing equipment.in Line Water Cooled Diesel Engine for Generator with Good Quality, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Direct Injection Water Cooled Diesel Engine Used for Generator Set. Maximum MAER of 13.5% and minimum R2of 0.Waterproof Floor Standing Alone Outdoor Digital Signage-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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aReliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket