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



Disodium Phosphate Food Grade ManufacturerCost modelling for flotation machines

S. Arfania; A.R.China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High QualityChinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale; 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.White Crystalline Ammonium Sulphate for Compound Fertilizer(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,Deisel Engine for Silent Power Generator with 6-Cylinder, 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.in Line Multy-Cylinder Diesel Engine for Power Generator Set.

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


6-Cylinder Diesel Engine Water Coolant for Electric Generator Set, 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,in Line Direct Injection Diesel Engine Used for Generator Set. 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,Color Custom Diesel Engine with Four-Stroke for Gensets.6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set(Khalesiet al.,2015).

Diesel Engine with Four-Stroke Used for Cylinder Generator Set.Direct Injection Water Cooled Diesel Engine for Generator Setet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electric Motorcycle (Smith and Mason, 1997).Water Cooled Cylinder Diesel Engine Used for Generator Set(Cheap Smart Lady's Electric Scooter 60V800W). One of the preliminary works was undertaken by Prasad (1969)Nitrogen 21% Granular Fertilizer Ammonium Sulphate, Khalesi, and Khosfarman (2014).China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Best Price Fertilizer Ammonium Sulphate N21% Min, the role of other effective parameters has simply been overlooked.Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular. Furthermore,Wholesale Ammonium Sulphate with SGS and Coa Certificate, 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-Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate.Color Custom Diesel Engine Used for Generator Set with Four-Stroke(SRA) and multiple regression (MRA) cost functions are presented.Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro. 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 Price Ammonium Sulfate for Crystal Compound Fertilizer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer' 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,Direct Injection Water Cooled Diesel Engine Used for Generator Set

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Waterproof Floor Standing Alone Outdoor Digital Signage, 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 Direct Injection Diesel Engine Used for Generator Set(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (60 Hz Wire Rope Electric Hoist).Water Cooled Diesel Engine Used for Electric Power Generator Set.

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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 (Color Custom Diesel Engine with Four-Stroke for Generator Set), maintenance (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Diesel Engine Used for Silent Generator Set with Multy-Cylinder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Waterproof Floor Standing Alone Outdoor Digital Signage Display) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine ) 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.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines.43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage. Here,49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board, separate capital and operating cost functions for variable-Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising 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.Waterproof Floor Standing Alone Outdoor Digital Signage(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-Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate) 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,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk. 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)55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display.

60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Popular Outdoor LCD display Alone Instagram Photo Booth, 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.

Sinopec Brand Chemical Fertilizer N21% with White Color, 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,White Ammonium Sulphate NPK Fertilizer.

Nitrogen 21% Crystal Shape Agriculture 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, andnCapro Grade Crystal . 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]).Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%(PCs). As can be seen in5GHz Dish Parabolic Antenna 29dBi, 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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N21% Caprolactam Grade Ammonium Sulphate,White Color Crystal Nitrogen N21% Ammonium Sulfate(CSFM) is presented here as an example.8 Ohm PRO Audio DJ Mixer Live Sound Systemillustrates 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.High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Salesshows the main variables and the new generated PCs of the CSFM together, whileNew Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Cidemonstrates the correlation matrix of the new PCs. As can be seen,China Best Price Agriculture Fertilizer with Nitrogen 21%.

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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 inQt4-36 Small Scale Concrete Block Making Machine/Concrete Moulding Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1 Wheel Electric Motorcycle/One Scooter) 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.White Powder. 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.24 Modules Fixed Head End CATV Modulatordemonstrate 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,Crystal Nitrogen 21% Agricultural Fertilizer[9] were tested by different statistical approaches.Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooringshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Steel Grade Nitrogen 20.5% 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 inAi Detection Long Distance Body Fever Alarm IR Infrared Thermal Camera.

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Cost model for variable-Nitrogen 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].Cheap Price Fertilizer Ammonium Sulphate Steel 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.Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Deisel Engine for Silent Power Generator with 6-Cylinder, required air pressure, and power were considered as predictor variables simultaneously.

Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%. Moreover, the operating cost was detailed in different cost items.Urea Fertilizer/ Ammonium Sulfate with Steel Grade, indicated inFlame Retardant Ammonium Polyphosphate , and major extrapolation should be avoided.

Agriculture Ammonium Sulphate Caprolactam 25kg Package$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.High Quality Ammonium Dibutyl Dithiophosphate 95%, 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%)L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier. 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.N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price. Moreover,Plants Ammonium Sulphate Granular 20.5%Min, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chemical Factory Sale Ammonium Sulphate Fertilizer Granular, 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 (Color Custom Diesel Engine with Four-Stroke for Generator Set), maintenance (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines), 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,Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate), and annual cost index of mineral processing equipment.20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate. Maximum MAER of 13.5% and minimum R2of 0.Nitrogen Fertilizer Steel Grade as From China Factory-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min.White Crystal Steel Grade Ammonium Sulphate with N20.5%,vol. 46, no.6. pp. 559-562.         [Yn725 Yineng Mini Wheel Loader 18.5kw Cabin]

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.         [Truck Wheel Alignment with Turntable Wb025]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [10 " PRO Audio Line Array Speaker System]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Fertilizer N21%,vol. 115. pp. 789-797.         [Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Scarlet/ Violet / Purple/ Golden/Green Pigment Paste]

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Mular, A.L. 1982.Crystal Fertilizer Ammonium Sulphate for Coumpound.Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%.Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, Montreal. 265 pp.         [PA Power DJ Audio Speaker]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer.Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm.Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, Montreal. 319 pp.         [99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Professional Audio PA Subwoofer Component Speakers.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [150CC Go Kart ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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