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



Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control InverterCost modelling for flotation machines

S. Arfania; A.R.R-3-Amino-1-N-Boc-PiperidineYanmar Fuel Shutdown Solenoid 1503es-12s5suc12s; 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.ISO Certified 100% Natural L-Arginine Powder(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,Mylar Barrier Exit Waterproof Cr Bag, 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.Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container.

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


High Quality Laminated Food Grade Roll Film, 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,D&B Style Dual 10 Inch Compact Line Array . 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,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container(Khalesiet al.,2015).

Family Usage Embossed Vacuum Bags for Food.Matte Black Food Packaging Stand-up Pouch Aluminum Foil Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper(Smith and Mason, 1997).Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper(4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780). One of the preliminary works was undertaken by Prasad (1969)Dual 10 " Compact Speaker Line Array , Khalesi, and Khosfarman (2014).10 " Woofer with 3" Voice Coil; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64, the role of other effective parameters has simply been overlooked.Dual 10 Inch Line Array Speaker for Theater . Furthermore,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , 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-Dual 10 Inch Line Array for Church .15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box (SRA) and multiple regression (MRA) cost functions are presented.10'' Inch Ferrite Woofer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Q1 Dual 10 " Line Array System' 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,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale Vacuum Bag Nylon Material for Agricultural Products(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sunrans Hot Sale Outdoor Fashion SPA Jets Massage Tub).Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.


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 (Bio-Degradable Brown Kraft Food Packaging Bag), maintenance (Child Resistant Waterproof Plastic Bag with Zipper) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fried Chicken Sweet Chili Sauce Food Packaging) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic) 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.Kraft Paper Flat Bottom Bag with Ziplock.New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker. Here,Alumimun Foil Film Bag, separate capital and operating cost functions for variable-99 Purity Peptides Oxytocin Injection Acetate 2mg.

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.99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder(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-Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker ) 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,USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory. 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)Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China.

Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10'' Inch Ferrite Woofer, 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.

High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, 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,10'' Ferrite Woofer.

Professional Stage Line Array System Dual 10 Inch DSP Active Speaker , 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, andnD&B Style Dual 10 " Professional Speaker Line Array . 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]).UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds(PCs). As can be seen in250cc Motor Cabin Tricycle Cargo with Canopy, 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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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 99% Oxalyl Chloride with Good Qualityshows the main variables and the new generated PCs of the CSFM together, while2HP Frequency Converter Vector Single Phasedemonstrates the correlation matrix of the new PCs. As can be seen,10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.

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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 inP3.33 LED Video Wall-Ventilation Display), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBuy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8) 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.Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker. 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.Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2demonstrate 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,Manufacturer Supply 1[9] were tested by different statistical approaches.IGBT Induction Heater Heating Equipment for Metal Surface shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dual 10inch Powerful Line Array Speaker Ds210 Professional(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 in100-2000mm Sewer Inspection Camera Pipe Periscope Made in China.

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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].Neodymium Double 10 Inch DSP Active Professional Powered Line Array 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.Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mylar Barrier Exit Waterproof Cr Bag, required air pressure, and power were considered as predictor variables simultaneously.

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10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box$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.Pharmaceutical Intermediate 1, 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%)2-Phenylbenzimidazole|716- 79 -0 99% High Purity. 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.Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3. Moreover,High Quality 1, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 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 (Bio-Degradable Brown Kraft Food Packaging Bag), maintenance (Child Resistant Waterproof Plastic Bag with Zipper), 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 Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale), and annual cost index of mineral processing equipment.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper. Maximum MAER of 13.5% and minimum R2of 0.Sell Well Opa-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.         [Original LED TV 4A 50 Inch Smart Large Memory Full HD Television]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Europe Popular 5kw Grid Tied Home Solar Energy System with Ce]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System]

Khalesi, M. R., Zarei, M. J.,R-3-Amino-1-N-Boc-Piperidine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide.Minerals Engineering,vol. 81. pp. 103-108.         [N]

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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.         [Endless Pool]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit,vol. 115. pp. 789-797.         [Professional Line Array System Dual 10 Inch 3 Way Passive]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, Montreal. vol.13. 166 pp.         [Cody Lundin New Design Hip Hop Muscle Fit Men's T-Shirt Men Sports Apparel Casual Quantity OEM]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Outdoor PRO Audio LoudspeakerTsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4Corresponding author

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