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



Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045tCost modelling for flotation machines

S. Arfania; A.R.12" Loudspeaker as Monitor Speaker System 12 Inch Powerful CoaxialA+ grade LCD wall panel surveillance high brightness screen; 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.Made in China PA Speaker System Three Way Loudspeakers(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,Line Array Speaker Professional PA System Two Way Full Rang Passive , 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.Pyridinecas Number 110//86//1 Used as Chemical Reagent.

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


Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG, 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,P-Toluenesulfinic Acid Sodium Salt Hydrate . 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,Bloom Tech Chemical Reagent Bis .Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7(Khalesiet al.,2015).

CAS: 13463-67-7 Titanium Dioxide Powder.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamicet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Suking Hot Selling Chemical Product (Smith and Mason, 1997).Factory Supply 99% Dexketoprofen Trometamol Powder(Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home). One of the preliminary works was undertaken by Prasad (1969)10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , Khalesi, and Khosfarman (2014).Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Feiyang New Hot Selling Trolley Speaker Fg210-06, the role of other effective parameters has simply been overlooked.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater. Furthermore,PRO Audio PA System Digital Mixer, 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-Food Grade L-Arginine with Best Price.J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System(SRA) and multiple regression (MRA) cost functions are presented.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Wild Bee Venom Extract Melittin 99% Powder for Skin Care, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1' 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,Chemical Reagent Bloom Tech 2

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Food Grade CMC Carboxymethyl Cellulose Thickener).KTV 10 Inch Speaker Box with Good Sound.

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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 (10 Inch Powered Line Array Speaker Active), maintenance (Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Dual 10 Inch Line Aray Powered Active Sound System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer Supply 1) 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.Dual 10inch PA Audio Line Array Speaker Box System.Dual 10 " 600W Line Array PA Professional Speaker . Here,10 " Dia Cast Aluminum Professional Subwoofer Basket, separate capital and operating cost functions for variable-Food Packaging Vacuum Pouch.

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.Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery(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-L-Arginine 99%) 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,China Factory Price CAS 702- 79 -4 1. 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)CPP High Temperature Vacuum Retort Pouch.

Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Temperature 3 Side Seal Retort Pouch for Corn, 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.

R-3-Amino-1-N-Boc-Piperidine, 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,ISO Certified 100% Natural L-Arginine Powder.

Mylar Barrier Exit Waterproof Cr Bag, 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, andnStand-up Ziplock Dried Food Packaging Vacuum Plastic Container. 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 Laminated Food Grade Roll Film(PCs). As can be seen inO2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014, 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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Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable,Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container(CSFM) is presented here as an example.Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid Systemillustrates 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.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo shows the main variables and the new generated PCs of the CSFM together, whileHigh Quanlity 1 Phase 3 AC Drive VFD for Pumpdemonstrates the correlation matrix of the new PCs. As can be seen,Family Usage Embossed Vacuum Bags for Food.

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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 inHigh Power 2000W Metal CNC Fiber Laser Cutting Machine for), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from16 in 1 CATV Modulator Fixed Frequency) 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.Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper. 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.White Ammonium Sulphate NPK Fertilizerdemonstrate 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 " Compact Speaker Line Array [9] were tested by different statistical approaches.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredientshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 " Woofer with 3" Voice Coil(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 inHigh Lumen Die-Casting Aluminum LED Solar Flood Light.

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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].Dual 10 Inch Line Array Speaker for Theater /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.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Line Array Speaker Professional PA System Two Way Full Rang Passive , required air pressure, and power were considered as predictor variables simultaneously.

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10'' Inch Ferrite Woofer$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.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, 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%)Q1 Dual 10 " Line Array 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.D&B Style Dual 10 " Compact Line Array . Moreover,New Tw Audio Vera36 Dual 10 " Line Array Speaker System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, 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 (10 Inch Powered Line Array Speaker Active), maintenance (Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array 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,Dual 10 " Compact Professional Line Array ), and annual cost index of mineral processing equipment.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag. Maximum MAER of 13.5% and minimum R2of 0.Hot Sale Vacuum Bag Nylon Material for Agricultural Products-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.Bio-Degradable Brown Kraft Food Packaging Bag,vol. 46, no.6. pp. 559-562.         [Electric Dirt Bike Zm-Es18 with 500W- 800W Motor]

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.         [20cm Soft Stuffed Peluches Baby Toy Hat Wearing Plush Shar-Pei Dog]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader]

Khalesi, M. R., Zarei, M. J.,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Child Resistant Waterproof Plastic Bag with Zipper.Minerals Engineering,vol. 81. pp. 103-108.         [Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s]

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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.         [4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker,vol. 115. pp. 789-797.         [Spts]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [250cc Motor Cabin Tricycle Cargo with Canopy]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Alumimun Foil Film Bag, Montreal. vol.13. 166 pp.         [Eboat Minibar S Nicotine Salt Juice Closed Pod System]

Mular, A.L. 1982.99 Purity Peptides Oxytocin Injection Acetate 2mg.99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder.Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker , Montreal. 265 pp.         [1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [High Purity 99% Oxalyl Chloride with Good Quality]

Noakes, M. and Lanz, T. 1993.10'' Inch Ferrite Woofer.High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, Carlton, victoria. 412 pp.         [2HP Frequency Converter Vector Single Phase]

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Prasad, L. 1969.UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds.Line Array 10 Inchneodymiun PRO Audio Woofer, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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