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


Professional Audio PA Subwoofer Component Speakers BocinasCost modelling for flotation machines

S. Arfania; A.R.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector; 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.Line Array with Aluminum Rigging Parts for PA 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,Outdoor Big Power Karaoke Trolley Loud PA Speaker, 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 0.20dB Gain DJ Mixing Console with MP3 Input .

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


PA System LED Light Trolley Tws Woofer Speaker Party Audio, 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,Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System. 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,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers(Khalesiet al.,2015).

K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets .12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stageet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Outdoor 750MHz One Way CATV Trunk Amplifier (Smith and Mason, 1997).Proxima Entertainment S-320 Speaker(Adult Electric Motorcycle with Lithium Battery China). One of the preliminary works was undertaken by Prasad (1969)Karaoke Voice Reduction Professional Audio Converter Proaudio , Khalesi, and Khosfarman (2014).Sp215 Sound Prince Style Speaker Acoustic; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, the role of other effective parameters has simply been overlooked.Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker . Furthermore,Best Sale Bulk Price1, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Passive Full Range 2-Way Speaker Line Array for Outdoor.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse(SRA) and multiple regression (MRA) cost functions are presented.High Power Horn Speaker H3. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPigment Violet 1 Toner for Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Levamisole Hydrochloride CAS 16595-80-5 in Stock' 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,Double 12" Line Array Speaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PA Speaker with Single-Point Angles Regulator (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3p E 400V PA66 Cee Industrial Plug & Socket).12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio.

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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 (Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth), maintenance (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pharmaceutical Intermediate Bulk Price N- ) 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.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand. Here,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, separate capital and operating cost functions for variable-Speaker System High Power H3.

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 No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical(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-Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4) 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,500W Powered Speaker Professional Sound Line Array System . 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)Proxima Entertainment Z-450 Digtal Speaker.

Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Lat210A Srx700 Series PA Sound System Professional Speakers, 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.

Professional Public Address Mini Onwall Line Array Speaker , 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,Q1--Dual10 Inch Line Array Speaker.

12inches PA Speaker Audio Component, 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, andnPeq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. 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]).Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA(PCs). As can be seen inPA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker, 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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Wholesales Organic Intermediate 1,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell(CSFM) is presented here as an example.Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -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.Passive Full Range 2-Way Speaker Line Array for Outdoorshows the main variables and the new generated PCs of the CSFM together, whileWLAN/WiFi 2X2 Mimo Airx Enginedemonstrates the correlation matrix of the new PCs. As can be seen,Live/Installed Sound System PRO Speaker Box .

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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 inElectrical Outlets), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance) 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 Speaker with Laser Light . 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.2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights fordemonstrate 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,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker[9] were tested by different statistical approaches.Cvr 2021 New 10'' Line Array Professionalshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights(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 inLifting Equipements & Chain Block Hand Hoist.

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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].100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4/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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Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4$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 0.18" Fane Style Aluminum Speaker Frame, 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%)18" Die Cast P-Auido Style Aluminum Frame. 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 Active Line Array Speaker with DSP. Moreover,Single 18" Subwoofer Speaker Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, 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 (Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth), maintenance (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2), 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,12" Professional Rcf Style Speaker Frame), and annual cost index of mineral processing equipment.Horn Professional Speaker H3, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Coaxial Loudspeaker TD12. Maximum MAER of 13.5% and minimum R2of 0.18'' Subwoofer Speaker Box Ls1200-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Hot Sale Professional Loudspeaker PRO Audio 99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HClCorresponding author

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