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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



280mm MagnetCost modelling for flotation machines

S. Arfania; A.R.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire; 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.Dual 10 Inch Line Array Speaker for Theater (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,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , 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.Dual 10 Inch Line Array for Church .

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


15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box , 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,10'' Inch Ferrite Woofer. 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,V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.Q1 Dual 10 " Line Array System(Khalesiet al.,2015).

D&B Style Dual 10 " Compact Line Array .New Tw Audio Vera36 Dual 10 " Line Array Speaker Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4(Smith and Mason, 1997).Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker(Hot Selling 2ND Generation Ultrasound Bone Densitometer). One of the preliminary works was undertaken by Prasad (1969)Dual 10 " Compact Professional Line Array , Khalesi, and Khosfarman (2014).Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, the role of other effective parameters has simply been overlooked.Hot Sale Vacuum Bag Nylon Material for Agricultural Products. Furthermore,Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic, 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-Bio-Degradable Brown Kraft Food Packaging Bag.Child Resistant Waterproof Plastic Bag with Zipper(SRA) and multiple regression (MRA) cost functions are presented.Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Fried Chicken Sweet Chili Sauce Food Packaging, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFrequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic' 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,99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Port Use Industrial Tires 1200r24/1600r25/1800r25/1800r33).Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China.

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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 (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder), maintenance (10'' Inch Ferrite Woofer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (10'' Ferrite Woofer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Stage Line Array System Dual 10 Inch DSP Active Speaker ) 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.D&B Style Dual 10 " Professional Speaker Line Array .UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds. Here,Line Array 10 Inchneodymiun PRO Audio Woofer, separate capital and operating cost functions for variable-Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice.

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.Mylar Custom Printing Barrier Exit Bag(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-10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment) 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,10 Inch Coaxial Speaker Professional Driver 250wrms Line Array. 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)Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker.

Manufacturer Supply 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10inch Powerful Line Array Speaker Ds210 Professional, 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.

Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, 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,Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker.

Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, 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, andnSupply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4. 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]).High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment(PCs). As can be seen inGenerator Automatic Controller Eim 258 -9754 Engine Interface Module, 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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Pharmaceutical Intermediate 1,2-Phenylbenzimidazole|716- 79 -0 99% High Purity(CSFM) is presented here as an example.Hot Sale Motorcycle with 150cc Gy6 Engineillustrates 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.Single Phase Mini AC DC Motor Speed Controllershows the main variables and the new generated PCs of the CSFM together, whileDirect Injection Water Cooled Diesel Engine for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3.

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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-Auto Waste Tyre Recycling Production Line/Used Car Tire Machinery), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromRectangular Glue Tin Can Empty Clear Paint) 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.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3. 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.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatusdemonstrate 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,New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale[9] were tested by different statistical approaches.Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Topshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price(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 inK5V200DTH/AP4VOTVNW Hydraulic Axial Piston Pump /EXCAVATOR PARTS for Hyundai465/455/505/485; Caterpillar460-8; Volvo 460;Sany 335 /365/385/475; XCMG470.

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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].Sell Well Opa/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.Best Price O-Phthalaldehyde; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , required air pressure, and power were considered as predictor variables simultaneously.

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Qsn Professional Audio Dual 10 "Power Speaker Xt10$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.Hot Selling Powder Thiabendazole CAS 148- 79 -8, 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%)High Quality Coffee /Candy/Weed Plastic Container. 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.Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio. Moreover,Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, 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 (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder), maintenance (10'' Inch Ferrite Woofer), 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,10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System), and annual cost index of mineral processing equipment.Two-Way Passive Line Array , and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Foil Liquid Packaging Stand up Spout Pouch Food Bag.Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant,vol. 46, no.6. pp. 559-562.         [24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator]

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.         [18.00r25 Radial OTR off Road Tire]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic]

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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.         [3kw Air-Cooled UHF Digital TV Transmitter DTV]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock,vol. 115. pp. 789-797.         [Plastic Raw Materials Black Masterbatch for PP PE Plastics]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Outdoor Show Audio Lt12 Passive Line Array Speaker System]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Custom Aluminum Foil Laminated Bag with Zipper, Montreal. vol.13. 166 pp.         [China Manufacture Professional Roll PVC Flooring]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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