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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



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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.Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use(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,Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale, 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.Active Compact Column PA Speaker Powered Loudspeaker Point Source.

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


PA Speaker Sound System Dual 8'' Two-Way Line Array, 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,Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control. 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,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments.PRO Audio with Tweeter Horn for Line Array (Khalesiet al.,2015).

Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5.Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts(Smith and Mason, 1997).GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2(Child Resistant Waterproof Plastic Bag with Zipper). One of the preliminary works was undertaken by Prasad (1969)Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker, Khalesi, and Khosfarman (2014).Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5, the role of other effective parameters has simply been overlooked.High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales. Furthermore,Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, 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-Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5.Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h (SRA) and multiple regression (MRA) cost functions are presented.High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Skin Care Tretinoin Powder with Best Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci' 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,Three-Way Large Touring Performance Line Array System PA 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,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (200ml Round Type Glass Beverage Water Bottles Cap/Transparent Bottle/Portable Bottle/Customization Bottle/Creative Bottle).Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System.

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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 (Best Quality Safe Delivery 1), maintenance (Cheap Price Speaker Wall Mount Bracket ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturers Supply ) 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.High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride.High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9. Here,Steel Wall Bracket for Speaker with Quick Release Pin , separate capital and operating cost functions for variable-Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8.

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 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(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-99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample) 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,Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8. 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)Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8.

Tetracaine HCl CAS136-47-0, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion, 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.

CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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,Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0.

Melamine Molding Powder for Making Tableware Dishware China, 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, andnProfessional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20. 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]).8X4" Active Column PA Speaker(PCs). As can be seen inV5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone, 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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Professional Speaker with Hanging Hardware Parts Horizontal ,PA Power DJ Audio Speaker(CSFM) is presented here as an example.L-Pyroglutamic Acidillustrates 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.The Newest 110cc 125cc 150cc Toyota Mini Buggy shows the main variables and the new generated PCs of the CSFM together, whileWindows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROMdemonstrates the correlation matrix of the new PCs. As can be seen,PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.

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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 inStainless Steel Food Equipment Manual Welded Butterfly Valve), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFood Grade Vitamin a Palmitate Powder CAS 79 -81-2) 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 0.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker. 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.Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bardemonstrate 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,Double 12" 3-Way Line Array PA Speaker[9] were tested by different statistical approaches.5GHz 30dBi Mimo Dish Antennasshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20(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 inSpare Parts Blow Bar of Impact Crusher.

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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 PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da/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.15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale, required air pressure, and power were considered as predictor variables simultaneously.

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CAS No.: 67-63-0 Isopropyl Alcohol $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.PA Speaker Parts of T24 12 Inch , 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%)PA Speaker with Horn Parts 210L*62W*105h 1"X2 . 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.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array. Moreover,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade L Selenomethionine Powder/L-Selenomethionine, 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 (Best Quality Safe Delivery 1), maintenance (Cheap Price Speaker Wall Mount Bracket ), 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,120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics), and annual cost index of mineral processing equipment.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Single 15 Inch PA Full Sound Systems Professional PRO Speaker. Maximum MAER of 13.5% and minimum R2of 0.Cheap Price PA Speaker of Line Array Rigging 8 Inch -feasibility and even feasibility study level of projects.


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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.         [Home Monitoring Security System Wireless Mini IP Cameras]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [WiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Powerful Cheap Mountain Bike Bicycle]

Khalesi, M. R., Zarei, M. J.,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-6inch Bar PA Full Sound Speaker System Audio Muslims.Minerals Engineering,vol. 81. pp. 103-108.         [Professional Sound System 10'' PRO Neodymium Line Array PA Audio System.]

Kim, G.H., An, S.H., and Kang, K.I. 2004.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Safe Shipping with Good Price Tretinoin Powder]

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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.         [High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price]

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.         [External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance,vol. 115. pp. 789-797.         [Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Scarlet/ Violet / Purple/ Golden/Green Color Paste]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Lidocaine Hydrochloride CAS 73-78-9 HCl, Montreal. vol.13. 166 pp.         [Custom Make Kids Novelty Cute Chicken Sheep Penguin Fox Cartoon Toys Plastic Animal]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Industrial Mining All Welded Anti Explosion Pressure Transmitter]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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