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



Melamine MDF E1 E0 Carb P2 GradeCost modelling for flotation machines

S. Arfania; A.R.PA Audio System 5" 10 -35W Ceiling SpeakerS32750 Uns Super Duplex Stainless Steel Bar; 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.Ultra Low Nosie 10 Channles Mixer Mixing Console (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,10''stage professional Audio Speaker H- 10 for Stage, 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 0.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk.

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


55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, 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,Horn Speaker M-776. 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,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk(Khalesiet al.,2015).

USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6.Wilson Parts Eim Module Engine Interface Control 258 -9753et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5kw Inverter Grid Tied Solar Power System for Home(Smith and Mason, 1997).Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson(Wolf 0.8t 800kg Mini Loader with Euro 3 Engine). One of the preliminary works was undertaken by Prasad (1969)24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator, Khalesi, and Khosfarman (2014).Medrogestone Top Quality Low Price 977- 79 -7; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply High Quality Ademetionine 1, the role of other effective parameters has simply been overlooked.China Supplier 1. Furthermore,Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder, 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-CAS: 79 -44-7 Dimethylcarbamoyl Chloride .Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed(SRA) and multiple regression (MRA) cost functions are presented.Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Good Quality CAS: 97240- 79 -4 Topiramate Powder Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA12 Natural Resin Transparent Granules Pellets Polyamide Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity 99% Intermediate 1' 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,High Purity Organic Intermediate  1

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine, 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 (P1.9mm Full Color Fixed LED Video Wall Display Screen).Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V.

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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 (Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V), maintenance (5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Engine Controller Model Eim Basic 258 -9756) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755) 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.Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754.100% Copper Wire St Series Single Phase Generator / Alternator . Here,China Supplier 1, separate capital and operating cost functions for variable-100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator .

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.Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator(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-24kVA St Series Single Phase Generator ) 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,20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator. 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)20kVA St Series Single Phase Generator .

PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box., the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (7.5kVA St Series Single Phase Generator , 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.

Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio, 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,2 Way Passive 10 " Professional PRO Audio PA Line Array.

Stc Series Three Phase Dynamo Generator , 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, andnChina Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder. 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]).Stc Series Three Phase Dynamo Generator (PCs). As can be seen inSrx725 Dual 15" PRO Audio Speaker Box, 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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Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic,St-10kw/kVA Single Phase Brush Type Electric Generator(CSFM) is presented here as an example.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Canillustrates 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-Performance Three Phase Frequency Converter 380V 50/60Hzshows the main variables and the new generated PCs of the CSFM together, while2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compoundsdemonstrates the correlation matrix of the new PCs. As can be seen,Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator.

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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 inFace Lighted LED Acrylic Outdoor Shop Sign), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home) 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 0.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price. 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.Food Grade Lactic Acid 79 -33-4demonstrate 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,100% Copper Wire St-5kw Single Phase Brush Generator[9] were tested by different statistical approaches.Fruit and Vegetables Packaging Materials Vacuum Nylon Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Home Theater Speaker(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 Label Design Pesticide Acaricide Abamectin 5% Ew Wholesale.

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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].12inch Stage Monitor Speaker/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.KTV Single 8" Full Range Audio&Sets; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10''stage professional Audio Speaker H- 10 for Stage, required air pressure, and power were considered as predictor variables simultaneously.

St-2kw 230V/50Hz Single Phase Brush Alternator for Sale. Moreover, the operating cost was detailed in different cost items.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale, indicated inDetergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4, and major extrapolation should be avoided.

St 5kw Single Phase AC Electric Alternator Generator$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.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, 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%)258 -9754 Electric Engine Interface Moudle 12V Eim Basic. 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.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio. Moreover,Android Digital Signage Intelligent Hand Sanitizer Display, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information, 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 (Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V), maintenance (5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator), 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,New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set), and annual cost index of mineral processing equipment.LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System. Maximum MAER of 13.5% and minimum R2of 0.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.10 " Woofer Speaker.High Brightness Stand Alone Advertising Kiosk for Government,vol. 46, no.6. pp. 559-562.         [5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container]

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Lashgari, A.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline, A.R. 2013.Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%,Water Cooled Diesel Engine Color Custom for Power Generator Set,vol. 23. pp. 441-446.         [100% Pure Natural Lavender Essential Oil 30ml for Aromatherapy Diffuser]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed ControllerDexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%Corresponding author

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