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


White Color Crystal Nitrogen N21% Ammonium SulfateCost modelling for flotation machines

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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.Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%(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,Water Cooled Diesel Engine Color Custom for Power 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.Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets.

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


Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate, 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,China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality. 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,White Crystalline Ammonium Sulphate for Compound Fertilizer.Deisel Engine for Silent Power Generator with 6-Cylinder(Khalesiet al.,2015).

in Line Multy-Cylinder Diesel Engine for Power Generator Set.6-Cylinder Diesel Engine Water Coolant for Electric Generator Setet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Live/Installed Sound System PRO Speaker Box (Smith and Mason, 1997).in Line Direct Injection Diesel Engine Used for Generator Set(Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display). One of the preliminary works was undertaken by Prasad (1969)Color Custom Diesel Engine with Four-Stroke for Gensets, Khalesi, and Khosfarman (2014).6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine with Four-Stroke Used for Cylinder Generator Set, the role of other effective parameters has simply been overlooked.Direct Injection Water Cooled Diesel Engine for Generator Set. Furthermore,Water Cooled Cylinder 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-Nitrogen 21% Granular Fertilizer Ammonium Sulphate.China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer(SRA) and multiple regression (MRA) cost functions are presented.Best Price Fertilizer Ammonium Sulphate N21% Min. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wholesale Ammonium Sulphate with SGS and Coa Certificate' 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,Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen 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,Water Cooling Diesel Engine with 6-Cylinder for Power Generator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),258kw 6cylinder Wd Series Diesel Engine for Generator Set (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Universal Material Tester).Color Custom in-Line Diesel Engine for Generator Sets.

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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 Water Cooled Diesel Engine for Generator with Good Quality), maintenance (Direct Injection Water Cooled Diesel Engine Used for Generator Set) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Waterproof Floor Standing Alone Outdoor Digital Signage.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Color Custom Direct Injection Diesel Engine Used for Generator Set) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Water Cooled Diesel Engine Used for Electric Power 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.Color Custom Diesel Engine with Four-Stroke for Generator Set.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines. Here,Diesel Engine Used for Silent Generator Set with Multy-Cylinder, separate capital and operating cost functions for variable-Waterproof Floor Standing Alone Outdoor Digital Signage Display.

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.Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine (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-Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines) 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,43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage. 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)49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board.

Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Waterproof Floor Standing Alone Outdoor Digital Signage, 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.

Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate, 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,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk.

55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display, 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, andn60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and 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]).2021 Popular Outdoor LCD display Alone Instagram Photo Booth(PCs). As can be seen in11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop, 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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White Ammonium Sulphate NPK Fertilizer,Nitrogen 21% Crystal Shape Agriculture Fertilizer(CSFM) is presented here as an example.Carb P2 Okoume Plywood for Furnitureillustrates 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.Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouchshows the main variables and the new generated PCs of the CSFM together, whileEverun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucketdemonstrates the correlation matrix of the new PCs. As can be seen,Capro Grade Crystal .

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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 inFull Solid Copper 3 Pins Inlet IEC C14 Connector AC Socket), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCosmetic Ultramarine Violet Soap Pigment Matte Manufacturer) 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.Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%. 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.Custom Aluminum Foil Laminated Bag with Zipperdemonstrate 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,N21% Caprolactam Grade Ammonium Sulphate[9] were tested by different statistical approaches.High Duty Chinese mini loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.White Color Crystal Nitrogen N21% Ammonium Sulfate(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 inUnique Aroma Wholesale Design Bloom Perfume Fragrance High Concentration Brand Oil.

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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].Factory Price Agricultrue Fertilizer with Caprolactam Grade/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.White Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Water Cooled Diesel Engine Color Custom for Power Generator Set, required air pressure, and power were considered as predictor variables simultaneously.

Crystal Nitrogen 21% Agricultural Fertilizer. Moreover, the operating cost was detailed in different cost items.Steel Grade Nitrogen 20.5% Ammonium Sulphate, indicated inLow Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, and major extrapolation should be avoided.

Nitrogen Fertilizer$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.Cheap Price Fertilizer Ammonium Sulphate Steel 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%)Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate. 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.Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%. Moreover,Urea Fertilizer/ Ammonium Sulfate with Steel Grade, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Agriculture Ammonium Sulphate Caprolactam 25kg Package, 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 Water Cooled Diesel Engine for Generator with Good Quality), maintenance (Direct Injection Water Cooled Diesel Engine Used for 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,High Quality Ammonium Dibutyl Dithiophosphate 95%), and annual cost index of mineral processing equipment.L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price. Maximum MAER of 13.5% and minimum R2of 0.Plants Ammonium Sulphate Granular 20.5%Min-feasibility and even feasibility study level of projects.


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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.         [Hench Best Price 99% Purity Adenosine Disodium Triphosphate]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter]

Khalesi, M. R., Zarei, M. J.,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture.Minerals Engineering,vol. 81. pp. 103-108.         [New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Trade Peak Lowest Price for 150cc ATV]

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Mular, A.L. 1982.Nitrogen Fertilizer Ammonium Sulphate for Agriculture.China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer.Granular Ammonium Sulphate, Montreal. 265 pp.         [Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Economic Mulifunctional Line Array System Speaker Dual 10 Inch380V 400Hz 3p AC Drive Hot 15kw Frequency ConverterCorresponding author

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