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


Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium LoudspeakerCost modelling for flotation machines

S. Arfania; A.R.Chemical Reagent Bloom Tech 2Newest Hot Sell Guitar Machine Head Tuner; 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.High Quality Opa O-Phthalaldehyde with Best Price(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,Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G, 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.KTV 10 Inch Speaker Box with Good Sound.

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


10 Inch Powered Line Array Speaker Active, 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,Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker. 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,Dual 10 Inch Line Aray Powered Active Sound System.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics(Khalesiet al.,2015).

Manufacturer Supply 1.Dual 10inch PA Audio Line Array Speaker Box Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Everun Brand Mini Front End Loader 0.8 Ton Wheel(Smith and Mason, 1997).Dual 10 " 600W Line Array PA Professional Speaker (Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium). One of the preliminary works was undertaken by Prasad (1969)10 " Dia Cast Aluminum Professional Subwoofer Basket, Khalesi, and Khosfarman (2014).Food Packaging Vacuum Pouch; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, the role of other effective parameters has simply been overlooked.L-Arginine 99%. Furthermore,China Factory Price CAS 702- 79 -4 1, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-CPP High Temperature Vacuum Retort Pouch.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin (SRA) and multiple regression (MRA) cost functions are presented.High Temperature 3 Side Seal Retort Pouch for Corn. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (R-3-Amino-1-N-Boc-Piperidine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPortable 15inch PA Speaker F15+(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;ISO Certified 100% Natural L-Arginine Powder' 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,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable

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 Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Family Usage Embossed Vacuum Bags for Food(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Arabic Dubai Bridal Gowns Dots Sheer Neck Lace Ball Gown White Wedding Dress).Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag.

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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 (Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper), maintenance (Dual 10 " Compact Speaker Line Array ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 " Woofer with 3" Voice Coil.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 Inch Line Array Speaker for Theater ) 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.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker .Dual 10 Inch Line Array for Church . Here,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box , separate capital and operating cost functions for variable-10'' Inch Ferrite Woofer.

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.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(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-Q1 Dual 10 " Line Array System) 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,D&B Style Dual 10 " Compact 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)New Tw Audio Vera36 Dual 10 " Line Array Speaker System.

Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10 " Compact Professional Line Array , 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.

Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, 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,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag.

Hot Sale Vacuum Bag Nylon Material for Agricultural Products, 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, andnBuy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic. 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]).Bio-Degradable Brown Kraft Food Packaging Bag(PCs). As can be seen inVirgin PA12 Resin GF20 GF30 Pellets, 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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Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag,Fried Chicken Sweet Chili Sauce Food Packaging(CSFM) is presented here as an example.Fast Delivery High Purity Benzaldehyde 100-52-7illustrates 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.AC Drive Inverter Low Frequency Powershows the main variables and the new generated PCs of the CSFM together, whileKas PRO Top 10inch Line Array Audio Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,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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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 inCustom Corrugated Packaging Book Mailer Gusset Shipping Mailing Box), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5kw Grid Tied Solar Power System for Home Use) 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.New Model V8 D&Bstyle Dual 10 Inch Three Way 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.Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorberdemonstrate 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,Alumimun Foil Film Bag[9] were tested by different statistical approaches.Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scannershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99 Purity Peptides Oxytocin Injection Acetate 2mg(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 inGrain Cleaner.

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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].Lf Driver 10 Inches 63.5mm Kapton Coil Professional 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.


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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.High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, 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%)10'' Ferrite Woofer. 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.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker . Moreover,D&B Style Dual 10 " Professional Speaker Line Array , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, 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 (Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper), maintenance (Dual 10 " Compact Speaker Line Array ), 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,Line Array 10 Inchneodymiun PRO Audio Woofer), and annual cost index of mineral processing equipment.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice, 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.         [Solid Granule Corn Packaging Machine]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Heavy Loader 5wheel Cargo Tricycle with Cabin]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Generator Automatic Controller Eim 258 -9754 Engine Interface Module]

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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.         [Direct Injection Water Cooled Diesel Engine for Generator Set]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper.vol. 1.Sell Well Opa, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Active Mini Line Array Speaker with DSP Amplifier Module]

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Dual 10 " Compact Professional Line Array , A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [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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Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio]

Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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