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


10 Active Full Range Stage Sound Loud Speaker System AudioCost modelling for flotation machines

S. Arfania; A.R.New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with NoviNew Tw Audio Vera36 Dual 10 " Line Array Speaker System; 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.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci(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,PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118, 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.Home Theater PA PRO Audio Speaker.

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


PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer, 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,Professional Audio Kara Line Array. 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,Three-Way Large Touring Performance Line Array System PA Speaker.Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3(Khalesiet al.,2015).

Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wood Woven and Strand Bamboo Veneer Sheets(Smith and Mason, 1997).Best Quality Safe Delivery 1(Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale). One of the preliminary works was undertaken by Prasad (1969)Cheap Price Speaker Wall Mount Bracket , Khalesi, and Khosfarman (2014).Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8, the role of other effective parameters has simply been overlooked.Manufacturers Supply . Furthermore,High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9.Steel Wall Bracket for Speaker with Quick Release Pin (SRA) and multiple regression (MRA) cost functions are presented.Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample' 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,CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Melamine Molding Powder for Making Tableware Dishware China(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Flock Sofa Fabric From Manufactorier).Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20.

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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 (8X4" Active Column PA Speaker), maintenance (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Speaker with Hanging Hardware Parts Horizontal .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Power DJ Audio Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker) 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.Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker. Here,Double 12" 3-Way Line Array PA Speaker, separate capital and operating cost functions for variable-Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20.

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.PA Speaker Parts&Accessories Back Plate Speakon Nl4 (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-Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da) 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,15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker. 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)Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6.

New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS No.: 67-63-0 Isopropyl Alcohol , 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.

PA Speaker Parts of T24 12 Inch , 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,PA Speaker with Horn Parts 210L*62W*105h 1"X2 .

PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, 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, andnCAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol. 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]).Food Grade L Selenomethionine Powder/L-Selenomethionine(PCs). As can be seen inHigh Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, 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]:


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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Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA,Single 15 Inch PA Full Sound Systems Professional PRO Speaker(CSFM) is presented here as an example.Single 18" Subwoofer Speaker Boxillustrates 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.Zhejiang Province Acrylic Standing Alone Bathtubsshows the main variables and the new generated PCs of the CSFM together, whileGranular Ammonium Sulphatedemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Price PA Speaker of Line Array Rigging 8 Inch .

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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 Quality Modern Office Furniture Meeting Room Conference Table), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSupply High Purity Oxalyl Chloride CAS: 79 -37-8) 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.PA Speaker Horn for Stage 180L*180W*106h 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.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Devicedemonstrate 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,6inch Bar PA Full Sound Speaker System Audio Muslims[9] were tested by different statistical approaches.Super Power LED Lighting 100W Flicker Free Ceiling Lampshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8(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 inAgarbatti Brand 20cm Raw Bamboo Stick in China.

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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].Aluminium Back Plate for PA 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.Full Range Portable Multi-Fuction Speaker Box ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118, required air pressure, and power were considered as predictor variables simultaneously.

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PA Speaker Parts $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.Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, 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%)Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801. 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.Line Array PA Speaker System Stage 12inch Monitor PRO Audio. Moreover,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731, 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 (8X4" Active Column PA Speaker), maintenance (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl), 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,Music PA Speaker Double 12 Inch Full Range), and annual cost index of mineral processing equipment.PA Column Speaker Empty Alu. Cabinet 4.5" , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,PRO Audio Speaker 12 Inch Sub PA Passive Speakers. Maximum MAER of 13.5% and minimum R2of 0.PA Speaker Steel Back Plate -feasibility and even feasibility study level of projects.


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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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