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



Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter MotorcycleCost modelling for flotation machines

S. Arfania; A.R.P-Toluenesulfinic Acid Sodium Salt Hydrate 316L Ceramic Pressure Transducer for Health Care Industry; 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.Bloom Tech Chemical Reagent Bis (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,Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7, 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.CAS: 13463-67-7 Titanium Dioxide Powder.

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


Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, 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,Factory Supply 99% Dexketoprofen Trometamol Powder. 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,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box(Khalesiet al.,2015).

Feiyang New Hot Selling Trolley Speaker Fg210-06.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theateret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork(Smith and Mason, 1997).PRO Audio PA System Digital Mixer(300cc Triciclo Con Cabina). One of the preliminary works was undertaken by Prasad (1969)Food Grade L-Arginine with Best Price, Khalesi, and Khosfarman (2014).J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure, the role of other effective parameters has simply been overlooked.Wild Bee Venom Extract Melittin 99% Powder for Skin Care. Furthermore,Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1, 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-Retinoic Acid CAS 302- 79 -4 in Stock.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag(SRA) and multiple regression (MRA) cost functions are presented.ISO Certified 100% Natural L-Arginine Powder. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chemical Reagent Bloom Tech 2' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10 Inch Line Aray Powered Active Sound System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Cute Plastic Cartoon Figure Toys with High Quality).Manufacturer Supply 1.

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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 (Dual 10inch PA Audio Line Array Speaker Box System), maintenance (Dual 10 " 600W Line Array PA Professional Speaker ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 " Dia Cast Aluminum Professional Subwoofer Basket.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Food Packaging Vacuum Pouch) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery) 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.L-Arginine 99%.China Factory Price CAS 702- 79 -4 1. Here,CPP High Temperature Vacuum Retort Pouch, separate capital and operating cost functions for variable-Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin .

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.High Temperature 3 Side Seal Retort Pouch for Corn(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-R-3-Amino-1-N-Boc-Piperidine) 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,ISO Certified 100% Natural L-Arginine Powder. 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)Mylar Barrier Exit Waterproof Cr Bag.

Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Laminated Food Grade Roll Film, 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.

D&B Style Dual 10 Inch Compact Line Array , 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,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable.

Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, 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, andnFamily Usage Embossed Vacuum Bags for Food. 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]).Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag(PCs). As can be seen inChina Manufacturer Latest European Modern Furniture Genuine Leather Sofa, 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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Dual 10 " Compact Speaker Line Array ,10 " Woofer with 3" Voice Coil(CSFM) is presented here as an example.Anti-Wrinkle and Aging Chemical Raw Materialsillustrates 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.Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipashows the main variables and the new generated PCs of the CSFM together, whileHigh Qualty Line Array Loudspeakerdemonstrates the correlation matrix of the new PCs. As can be seen,Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64.

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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 in1300mm CNC Spindleless Peeling Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAccredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium) 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.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional 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.Double 12'' Line Array Audiodemonstrate 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,Dual 10 Inch Line Array for Church [9] were tested by different statistical approaches.Virgin PA12 Resin GF20 GF30 Pelletsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box (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 inGraduation Day Graduate Gift Silver Hat Charm Bracelet Gd11.

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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].V20 Dual 10 Inch Three-Way Audio Small 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.Q1 Dual 10 " Line Array System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker$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.Dual 10 " Compact Professional Line Array , 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%)Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr. 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.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag. Moreover,Hot Sale Vacuum Bag Nylon Material for Agricultural Products, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic, 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 (Dual 10inch PA Audio Line Array Speaker Box System), maintenance (Dual 10 " 600W Line Array PA Professional Speaker ), 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,Bio-Degradable Brown Kraft Food Packaging Bag), and annual cost index of mineral processing equipment.Child Resistant Waterproof Plastic Bag with Zipper, and over- extrapolation could result in misguiding estimates.

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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.         [Cheapest price Manufacturer of disposable baby diaper manufacturer from China]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [30W PA Active Computer 5.1 System Inexpensive Speaker]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [OTR G2 Grader Tubeless Tyre 17.5-25]

Khalesi, M. R., Zarei, M. J.,P-Toluenesulfinic Acid Sodium Salt Hydrate , A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker.Minerals Engineering,vol. 81. pp. 103-108.         [5kw Grid Tied Solar Power System for Home Use]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Alumimun Foil Film Bag, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Benzyl Benzoate Pharmaceutical Intermediates]

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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.         [Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber]

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.         [Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory,vol. 115. pp. 789-797.         [280mm Magnet]

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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.Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China, Montreal. vol.13. 166 pp.         [Solar Home Energy Panel Kits Lighting System Battery Light Power Station]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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