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


4000W/5000W off Grid Tied Solar Power SystemCost modelling for flotation machines

S. Arfania; A.R.Music PA Speaker Double 12 Inch Full RangeTetracaine HCl CAS136-47-0; 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.PA Column Speaker Empty Alu. Cabinet 4.5" (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,PRO Audio Speaker 12 Inch Sub PA Passive Speakers, 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.PA Speaker Steel Back Plate .

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


Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, 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,Line Array with Aluminum Rigging Parts for PA 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,Outdoor Big Power Karaoke Trolley Loud PA Speaker.20dB Gain DJ Mixing Console with MP3 Input (Khalesiet al.,2015).

PA System LED Light Trolley Tws Woofer Speaker Party Audio.Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult(Smith and Mason, 1997).50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(Professional Audio PA Subwoofer Component Speakers Bocinas). One of the preliminary works was undertaken by Prasad (1969)High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers, Khalesi, and Khosfarman (2014).K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage, the role of other effective parameters has simply been overlooked.Proxima Entertainment S-320 Speaker. Furthermore,Karaoke Voice Reduction Professional Audio Converter Proaudio , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Sp215 Sound Prince Style Speaker Acoustic.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6(SRA) and multiple regression (MRA) cost functions are presented.Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Best Sale Bulk Price1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Passive Full Range 2-Way Speaker Line Array for Outdoor' 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,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2.4GHz Wireless Ceiling Speaker PA System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Champagne Party Prom Dresses Lace Bridal Evening Gown Ld150).OEM ODM Public DJ PA Wooden Speaker.

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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 (Double 12" Line Array Speaker), maintenance (Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Speaker with Single-Point Angles Regulator .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth) 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.Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2.CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%. Here,High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price, separate capital and operating cost functions for variable-Pharmaceutical Intermediate Bulk Price N- .

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.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply(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-Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand) 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,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl. 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)Speaker System High Power H3.

CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4, 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.

500W Powered Speaker Professional Sound Line Array System , 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,Proxima Entertainment Z-450 Digtal Speaker.

Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500, 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, andnLat210A Srx700 Series PA Sound System Professional Speakers. 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]).Professional Public Address Mini Onwall Line Array Speaker (PCs). As can be seen inPigment Violet 1 Toner for Ink, 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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12inches PA Speaker Audio Component,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(CSFM) is presented here as an example.PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeakerillustrates 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.18L Square Metal Tin Cans with Handle and Lid for Oilshows the main variables and the new generated PCs of the CSFM together, whileSports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7demonstrates the correlation matrix of the new PCs. As can be seen,Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA.

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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 inFashion Men Waterproof Double Shoulder Leisure Business Travel Laptop Computer Notebook MacBook Air PRO Backpack Pack Bag), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder) 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.Wholesales Organic Intermediate 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.Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliancedemonstrate 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,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell[9] were tested by different statistical approaches.Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Live/Installed Sound System PRO Speaker Box (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 inBiodegradable Kraft Paper Bubble Mailer Eco-Friendly Padded Envelopes Shock-Proof Custom Printed PE Bags.

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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].Professional Speaker with Laser Light /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.XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PRO Audio Speaker 12 Inch Sub PA Passive Speakers, required air pressure, and power were considered as predictor variables simultaneously.

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100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4$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.High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price, 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%)Free Sample Organic Chemicals 1. 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.High Quality Phena. Moreover,Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (18" Fane Style Aluminum Speaker Frame, 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 (Double 12" Line Array Speaker), maintenance (Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01), 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,18" Die Cast P-Auido Style Aluminum Frame), and annual cost index of mineral processing equipment.Professional Stage Active Line Array Speaker with DSP, 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.         [Factory Direct Sale Alcohol Kill 99.99% Germs 75% Based Waterless Hand Sanitizer 60ml with Carabiner]

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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.         [CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa]

Khalesi, M. R., Zarei, M. J.,Music PA Speaker Double 12 Inch Full Range, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Coaxial Loudspeaker TD12.Minerals Engineering,vol. 81. pp. 103-108.         [Diesel Dump Central Steering Drive Three Wheeler From China for Sale]

Kim, G.H., An, S.H., and Kang, K.I. 2004.18'' Subwoofer Speaker Box Ls1200, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Factory Price Agricultrue Fertilizer with Caprolactam Grade]

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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.         [Modern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Softel 24 Channel Optional RF Fixed Analog Modulator]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Df B&C Trees Speaker Subwoofer Audio Professional, Montreal. vol.13. 166 pp.         [Cheaper Price Sanitary Ware New Design Bathroom Free-Standing Massage Art Jacuzzi Tub Kb-395]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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