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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. 2017Â


SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded BearingsCost modelling for flotation machines

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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.15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker(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,Professional Line Array PA System S1210 Sound, 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.Cosmetic Material 99% Purity Tretinoin Powder.

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


High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, 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,Spts. 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,High Power DJ Sound Equipment System Line Array PA Speaker.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array(Khalesiet al.,2015).

Best Price Medicine Grade Lanosterol Powder.Outdoor Professional Audio Loudspeaker PA Stage Active Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yellow Color Plastic Masterbatch(Smith and Mason, 1997).PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address(Outdoor Big Power Karaoke Trolley Loud PA Speaker). One of the preliminary works was undertaken by Prasad (1969)Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4, Khalesi, and Khosfarman (2014).Cosmetic Grade L-Arginine with Best Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Anti-Wrinkle and Aging Chemical Raw Materials, the role of other effective parameters has simply been overlooked.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery. Furthermore,Waterproof Childproof Ziplock Valve Bag, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2.Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate(SRA) and multiple regression (MRA) cost functions are presented.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (L-Arginine Powder Amino Acid Pure Manufacturer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;White Powder Vitamin a for Food and Feed Grade' 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,Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional 24 Channels Digital Audio Mixer Console, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (First Technology 4mm PCB Width COB LED Strip 300chips/M).Skin Care Raw Material Vitamin a Palmitate Powder.

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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 (Lf Drivers 10 Inches Professional Speaker Pw1032-64), maintenance (12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Made in China PA Speaker System Three Way Loudspeakers.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array Speaker Professional PA System Two Way Full Rang Passive ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pyridinecas Number 110//86//1 Used as Chemical Reagent) 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.Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.P-Toluenesulfinic Acid Sodium Salt Hydrate . Here,Bloom Tech Chemical Reagent Bis , separate capital and operating cost functions for variable-Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7.

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.CAS: 13463-67-7 Titanium Dioxide 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-Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic) 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,Factory Supply 99% Dexketoprofen Trometamol 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)10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .

Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Feiyang New Hot Selling Trolley Speaker Fg210-06, 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.

V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater, 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,PRO Audio PA System Digital Mixer.

Food Grade L-Arginine with Best Price, 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, andnJ8 Dual 12'' Line Array PA Speaker Professional Stage Audio System. 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]).10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure(PCs). As can be seen inSingle Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F, 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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Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1,Retinoic Acid CAS 302- 79 -4 in Stock(CSFM) is presented here as an example.Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker.illustrates 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.The New Natural Mahogany Okoume Veneershows the main variables and the new generated PCs of the CSFM together, whileAdditive PE Green Color Masterbatches Manufacturerdemonstrates the correlation matrix of the new PCs. As can be seen,Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag.

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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 inAutomatic Fabric Advertising Industry Fiber Laser Engraving Cutting Tools), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTop Selling 1) 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.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1. 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.100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Containerdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].KTV 10 Inch Speaker Box with Good Sound/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.10 Inch Powered Line Array Speaker Active; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Line Array PA System S1210 Sound, required air pressure, and power were considered as predictor variables simultaneously.

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60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics$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.Manufacturer Supply 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%)Dual 10inch PA Audio Line Array Speaker Box System. 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.Dual 10 " 600W Line Array PA Professional Speaker . Moreover,10 " Dia Cast Aluminum Professional Subwoofer Basket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Packaging Vacuum Pouch, 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 (Lf Drivers 10 Inches Professional Speaker Pw1032-64), maintenance (12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial), 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,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery), and annual cost index of mineral processing equipment.L-Arginine 99%, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Factory Price CAS 702- 79 -4 1. Maximum MAER of 13.5% and minimum R2of 0.CPP High Temperature Vacuum Retort Pouch-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin .High Temperature 3 Side Seal Retort Pouch for Corn,vol. 46, no.6. pp. 559-562.         [46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player]

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.         [65 Inch Big Size Ultra HD LED TV Od18 Super Slim Television]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5]

Khalesi, M. R., Zarei, M. J.,12" Line Array Loud Speaker Sound System Professional PA, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-R-3-Amino-1-N-Boc-Piperidine.Minerals Engineering,vol. 81. pp. 103-108.         [Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System]

Kim, G.H., An, S.H., and Kang, K.I. 2004.ISO Certified 100% Natural L-Arginine Powder, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo ]

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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.         [High Quanlity 1 Phase 3 AC Drive VFD for Pump]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.D&B Style Dual 10 Inch Compact Line Array ,vol. 115. pp. 789-797.         [Proxima Entertainment Z-450 Digtal Speaker]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [16 in 1 CATV Modulator Fixed Frequency]

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Mular, A.L. 1982.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container.Family Usage Embossed Vacuum Bags for Food.Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, Montreal. 265 pp.         [25KW Ground Mini loader price]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper.Dual 10 " Compact Speaker Line Array .Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, Montreal. 319 pp.         [White Ammonium Sulphate NPK Fertilizer]

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Noakes, M. and Lanz, T. 1993.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64.Dual 10 Inch Line Array Speaker for Theater , Carlton, victoria. 412 pp.         [Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Commercial 3 Layer Food Pizza/Egg Tart Luxury Glass Display Electric Warmer Showcase]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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