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


20MHz Medical Crf Machine Deep Wrinkle Removal Beauty InstrumentCost modelling for flotation machines

S. Arfania; A.R.100% Copper Wire St-5kw Single Phase Brush Generator12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial; 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.Home Theater 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,Dual 6" Coaxial Full Range Speaker for Entertainment Room, 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 0.12inch Stage Monitor Speaker.

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


KTV Single 8" Full Range Audio&Sets, 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,St-2kw 230V/50Hz Single Phase Brush Alternator for Sale. 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,Stc-12kw/15kVA Three Phase AC Electric Generator on Sale.St 5kw Single Phase AC Electric Alternator Generator(Khalesiet al.,2015).

Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control.258 -9754 Electric Engine Interface Moudle 12V Eim Basicet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi(Smith and Mason, 1997).12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio(Peanut Shell and Rice Husk Continuous Carbonization Oven). One of the preliminary works was undertaken by Prasad (1969)Android Digital Signage Intelligent Hand Sanitizer Display, Khalesi, and Khosfarman (2014).55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set, the role of other effective parameters has simply been overlooked.LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards. Furthermore,43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator.10 " Woofer Speaker(SRA) and multiple regression (MRA) cost functions are presented.High Brightness Stand Alone Advertising Kiosk for Government. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSample Free Calcium Carbonate Filler Masterbatch for Film Injection(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric' 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,Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),White Crystalline Ammonium Sulphate for Compound Fertilizer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Made New Design7w Solar Garden Light).Deisel Engine for Silent Power Generator with 6-Cylinder.

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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 (in Line Multy-Cylinder Diesel Engine for Power Generator Set), maintenance (6-Cylinder Diesel Engine Water Coolant for Electric Generator Set) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,in Line Direct Injection Diesel Engine Used for Generator Set.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Color Custom Diesel Engine with Four-Stroke for Gensets) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set) 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.Diesel Engine with Four-Stroke Used for Cylinder Generator Set.Direct Injection Water Cooled Diesel Engine for Generator Set. Here,Water Cooled Cylinder Diesel Engine Used for Generator Set, separate capital and operating cost functions for variable-Nitrogen 21% Granular Fertilizer Ammonium Sulphate.

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 Professional Manufacturer Ammonium Sulphate Crystal Fertilizer(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-Best Price Fertilizer Ammonium Sulphate N21% Min) 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,Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular. 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)Wholesale Ammonium Sulphate with SGS and Coa Certificate.

Agriculture Fertilizer Crystal Caprolactam Grade 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 (Color Custom Diesel Engine Used for Generator Set with Four-Stroke, 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.

Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro, 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,Factory Price Ammonium Sulfate for Crystal Compound Fertilizer.

Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen 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, andnWater Cooling Diesel Engine with 6-Cylinder for Power Generator. 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]).258kw 6cylinder Wd Series Diesel Engine for Generator Set (PCs). As can be seen inPharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, 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 Water Cooled Diesel Engine for Generator with Good Quality,Direct Injection Water Cooled Diesel Engine Used for Generator Set(CSFM) is presented here as an example.Frequency Inverter Pump AC Drive Priceillustrates 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.20dB Gain DJ Mixing Console with MP3 Input shows the main variables and the new generated PCs of the CSFM together, whileSamll EPA 0.8ton Tractor Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Waterproof Floor Standing Alone Outdoor Digital Signage.

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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 inChenille for Jacquard Fabric), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCAS No.: 67-63-0 Isopropyl Alcohol ) 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.Water Cooled Diesel Engine Used for Electric Power 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.Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Saledemonstrate 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,Color Custom Diesel Engine with Four-Stroke for Generator Set[9] were tested by different statistical approaches.Cheap Smart Lady's Electric Scooter 60V800Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines(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 inOnion Diced Frozen China Supplier.

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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].Waterproof Floor Standing Alone Outdoor Digital Signage Display/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.Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual 6" Coaxial Full Range Speaker for Entertainment Room, required air pressure, and power were considered as predictor variables simultaneously.

Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines. Moreover, the operating cost was detailed in different cost items.43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage, indicated in5GHz Dish Parabolic Antenna 29dBi, and major extrapolation should be avoided.

49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board$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.Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display, 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%)Waterproof Floor Standing Alone Outdoor Digital Signage. 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.Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate. Moreover,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display, 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 (in Line Multy-Cylinder Diesel Engine for Power Generator Set), maintenance (6-Cylinder Diesel Engine Water Coolant for Electric Generator Set), 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,60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display), and annual cost index of mineral processing equipment.2021 Popular Outdoor LCD display Alone Instagram Photo Booth, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Sinopec Brand Chemical Fertilizer N21% with White Color. Maximum MAER of 13.5% and minimum R2of 0.White Ammonium Sulphate NPK Fertilizer-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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